Difference between revisions of "Project "Thermocrystal""

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[[Main_Page|Кафедра ТМ]] > '''Project "Thermocrystal"''' <HR>
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[[File:Ballistic resonance.jpg|thumb|500px|Ballistic resonance and thermalization in FPU chain]]
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[[Main_Page|TM]] > '''Project "Thermocrystal"''' <HR>
  
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''The project is devoted to development of analytical models of nonequilibrium thermal processes in ultrapure crystals.''
  
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''The project is devoted to development of analytical models of unsteady thermal processes in ultrapure crystals.''
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== Publications ==
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===2024===
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* CMT 2024: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [https://ipme.ru/employees/72 E.V. Shishkina]. '''Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect'''. 2024, Continuum Mechanics and Thermodynamics ([https://link.springer.com/article/10.1007/s00161-024-01289-1 abstract], download [[media: CMT_2024.pdf|pdf]])
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* PRE 2024: [[A.M. Krivtsov]], [[V.A. Kuzkin]], V.A. Tsaplin. '''Transition from ballistic to diffusive heat transfer in a chain with breaks'''. 2024, Phys. Rev. E, 110, 054123 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.110.054123 abstract], download [[media: Kuzkin_2024_PRE_breaks.pdf|pdf]])
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* AM 2024: [[S.D. Liazhkov]]. '''Energy supply into a semi-infinite Fermi–Pasta–Ulam–Tsingou chain by periodic force loading'''. 2024, Acta Mech ([https://link.springer.com/article/10.1007/s00707-024-03929-8#citeas abstract], download [[media: AMe_2024.pdf| pdf]])
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* PHA 2024: A.A. Lykov, [[A.S. Murachev]]. '''On the kinetic temperature of a one-dimensional crystal on the long-time scale'''. 2024, Physica A: Statistical Mechanics and its Applications, 654, 130114 ([https://www.sciencedirect.com/science/article/pii/S037843712400623X?via%3Dihub abstract], download [[media: Murachev2024.pdf|pdf]])
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===2023===
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* PRE 2023: [https://juliabaimova.com/ J. A. Baimova], [https://ipme.ru/employees/33 N.M. Bessonov], [[A.M. Krivtsov]]. '''Motion of localized disturbances in scalar harmonic lattices'''. 2023, Phys. Rev. E, 107, 065002 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.107.065002 abstract], download [[media: Baimova 2023_PRV.pdf|pdf]])
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* PRE1 2023: S.V. Dmitriev, [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Nonequilibrium thermal rectification at the junction of harmonic chains'''. 2023, Phys. Rev. E, 108, 054221  ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.108.054221 abstract], download [[media:Dmitriev_etal_2023_PRE.pdf |pdf]])
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* DD 2023: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [https://ipme.ru/employees/72 E.V. Shishkina], [https://ipme.ru/employees/44 Yu.A. Mochalova]. '''An example of the anti-localization of non-stationary quasi-waves in a 1D semi-infinite harmonic chain'''. 2023, Days on Difraction , 67–72 ([https://ieeexplore.ieee.org/document/10325733 abstract], download [[media:An_example_of_the_anti_localization_of_non_stationary_quasi_waves.pdf|pdf]])
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* PRE2 2023: [[V.A. Kuzkin]].  '''Acoustic transparency of the chain-chain interface'''. 2023, Phys. Rev. E, 107, 065004 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.107.065004 abstract], download [[media: Kuzkin_2023_PRE_transparency.pdf|pdf]])
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* CMT 2023: [[S.D. Liazhkov]]. '''Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain'''. 2023, Continuum Mechanics and Thermodynamics, 35(2), 413-430 ([https://link.springer.com/article/10.1007/s00161-023-01186-z abstract], download [[media:Unsteady_thermal_transport_in_an_instantly_heated_semi_infinite_free_end_Hooke_chain.pdf|pdf]])
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* PNRPU 2023: R.V. Rubinova, [[O.S. Loboda]], [[A.M. Krivtsov]]. '''Ballistic heat transfer in a one-dimensional crystal with long-range interactions'''. 2023, PNRPU Mechanics Bulletin, 5, 74-80 (download [[media: PNRPU_2023.pdf| pdf]])
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* ASM 2023: [https://ipme.ru/employees/72 E.V. Shishkina], [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov]. '''Localized Modes in a 1D Harmonic Crystal with a Mass-Spring Inclusion'''. 2023, Advances in Linear and Nonlinear Continuum and Structural Mechanics. Advanced Structured Materials, 461-479  ([https://link.springer.com/chapter/10.1007/978-3-031-43210-1_25 abstract], download [[media:Ekaterina-v-shishkina-localized-modes-in-a-1d-harmonic.pdf|pdf]])
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* CMT1 2023: [https://ipme.ru/employees/72 E.V. Shishkina], [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov]. '''Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect'''. 2023, Continuum Mechanics and Thermodynamics, 35, 431–456 ([https://link.springer.com/article/10.1007/s00161-023-01188-x abstract], download [[media: CMT_2023.pdf|pdf]])
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===2022===
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* JHMT 2022: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov]. '''Discrete and continuum fundamental solutions describing heat conduction in a 1D harmonic crystal: Discrete-to-continuum limit and slow-and-fast motions decoupling'''. 2022, International Journal of Heat and Mass Transfer, 194, 123019 ([https://www.sciencedirect.com/science/article/pii/S0017931022004926?ref=pdf_download&fr=RR-2&rr=7f8942dc5c1016a7 abstract], download [[media: JHMT_2022.pdf|pdf]]).
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* CMT 2022: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state ballistic thermal transport associated with transversal motions in a damped graphene lattice subjected to a point heat source'''. 2022, Continuum Mechanics and Thermodynamics, 34(1), 297–319 ([https://link.springer.com/article/10.1007/s00161-021-01059-3 abstract], download [[media: Gavrilov_2022_CMT.pdf|pdf]])
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* ZAMM 2022: [[A.M. Krivtsov]]. '''Dynamics of matter and energy'''. 2022, Zeitschrift fur Angewandte Mathematik und Mechanik, 103, e202100496 ([https://onlinelibrary.wiley.com/doi/full/10.1002/zamm.202100496 abstract], download [[media: Krivtsov_2022_ZAMM.pdf|pdf]])
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* JPCM 2022: [[A.M. Krivtsov]], [[A.S. Murachev]], [[D.V. Tsvetkov]]. ''' Transient diffusion and thermal processes in a finite one-dimensional harmonic crystal'''. 2022, Journal of Physics: Condensed Matter,  34(9), 095401 ([https://iopscience.iop.org/article/10.1088/1361-648X/ac33dc abstract], download [[media: Krivtsov_2022_JPCM.pdf|pdf]])
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* PRE 2022: [[S.D. Liazhkov]], [[V.A. Kuzkin]]. '''Unsteady two-temperature heat transport in mass-in-mass chains'''. 2022, Phys. Rev. E, 105, 054145 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.105.054145 abstract], download [[media: PRE_2022.pdf|pdf]])
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* JPCM1 2022: [http://tm.spbstu.ru/%D0%9F%D0%B0%D0%BD%D1%87%D0%B5%D0%BD%D0%BA%D0%BE_%D0%90%D1%80%D1%82%D1%91%D0%BC A.Y. Panchenko], [[V.A. Kuzkin]], [[I.E. Berinskii]]. '''Unsteady ballistic heat transport in two-dimensional harmonic graphene lattice'''. 2022, Journal of Physics: Condensed Matter, 34(16) ([https://iopscience.iop.org/article/10.1088/1361-648X/ac5197 abstract], download [[media: Kuzkin_2022_JPhysCondensMatter.pdf|pdf]])
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* ASM 2022: [[E.A. Podolskaya]], [[A.M. Krivtsov]], [[V.A. Kuzkin]]. '''Discrete thermomechanics: From thermal echo to ballistic resonance (A review)'''. 2022, In: Polyanskiy, V.A., Belyaev, A.K. (eds)  Mechanics and Control of Solids and Structures. Advanced Structured Materials, 164. Springer, Cham. (download [[media: MCSS_2022.pdf|pdf]])
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* A.V. Porubov, [[A.M. Krivtsov]]. '''Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice'''. 2022, Continuum Mechanics and Thermodynamics, 34, 1475–1483 ([https://link.springer.com/article/10.1007/s00161-022-01138-z abstract], download [[media: CMT_2022.pdf|pdf]])
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* MPM 2022: R.V. Rubinova, [[O.S. Loboda]], [[A.M. Krivtsov]]. '''Heat transfer in infinite one-dimensional crystal considering the third coordination sphere'''. 2022, Materials Physics and Mechanics, 50(3), 365-372. ([https://mpm.spbstu.ru/article/2022.92.1/ abstract], download [[media: R.V._Rubinova,_O.S._Loboda,_A.M._Krivtsov.pdf|pdf]])
  
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== Publications ==
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* ASM1 2022: [[A.A. Sokolov]], W.H. Müller, [[A.M. Krivtsov]], A.V. Porubov. '''Signatures of Transient Purely Ballistic Heat Conduction: Theory and Experimental Investigation'''. 2022, Mechanics and Control of Solids and Structures, Advanced Structured Materials 164 ([https://link.springer.com/chapter/10.1007/978-3-030-93076-9_29 abstract], download [[media: ASM_2022.pdf |pdf]])
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===2021===
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* JPCM 2021: [[A.M. Krivtsov]], [[A.S. Murachev]]. '''Transition to thermal equilibrium in a crystal subjected to instantaneous deformation.''' 2021, [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter], 33(21), 215403 ([https://iopscience.iop.org/article/10.1088/1361-648X/abe517 abstract], download [[media:JPH_2021_Krivtsov_Murachev.pdf|pdf]])
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* AM 2021: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Unsteady ballistic heat transport: linking lattice dynamics and kinetic theory'''. 2021, Acta Mechanica, 232(5), 1983-1996 ([https://link.springer.com/article/10.1007/s00707-020-02927-w abstract], download [[media: Kuzkin_2021_ActaMech.pdf|pdf]])
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* CMT 2021: [[O.S. Loboda]], [[E.A. Podolskaya]], [[D.V. Tsvetkov]], [[A.M. Krivtsov]]. '''On the fundamental solution of the heat transfer problem in one-dimensional harmonic crystals.''' 2021, [https://www.springer.com/journal/161 Continuum Mechanics and Thermodynamics], 33(2), pp. 485–496 ([https://www.researchgate.net/publication/344166718_On_the_fundamental_solution_of_the_heat_transfer_problem_in_one-dimensional_harmonic_crystals abstract], download [[media:CMT_2021_Loboda_Podolskaya.pdf|pdf]])
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* JHMT 2021: [[A. A. Sokolov]],  [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [http://www.pdmi.ras.ru/~serge/ S.N. Gavrilov]. '''Heat conduction in 1D harmonic crystal: Discrete and continuum approaches'''. 2021, International Journal of Heat and Mass Transfer, 176, 121442, ([https://doi.org/10.1016/j.ijheatmasstransfer.2021.121442 abstract], download [[media: JHMT_2021.pdf|pdf]] ).
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===2020===
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* CMT 2020: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source.''' 2020, Continuum Mechanics and Thermodynamics, 32(1), 41-61 ([https://link.springer.com/article/10.1007/s00161-019-00782-2 abstract], download [[media:Gavrilov_CMT_2020.pdf|pdf]])
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* PRE 2020: E.A. Korznikova , [[V.A. Kuzkin]], [[A.M. Krivtsov]], D. Xiong , V.A. Gani , A.A. Kudreyko , S.V. Dmitriev. '''Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains'''. 2020, Phys. Rev. E 102, 062148  ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.062148 abstract], download [[media: Kuzkin_2020_PRE_sinus.pdf |pdf]])
  
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* PR 2020: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature'''. 2020, Physical Review, E 101, 042209 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.042209 abstract], download [[media:Kuzkin_2020_PRE.pdf|pdf]])
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* PRE1 2020: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature.''' 2020, Physical Review, E 101, 042209 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.042209 abstract], download [[media:Kuzkin_2020_PRE.pdf|pdf]])
  
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* PM 2020: [[A.M. Krivtsov]], [[M.B. Babenkov]], [[D.V. Tsvetkov]]. '''Heat Propagation in a One-Dimensional Harmonic  Crystal on an Elastic Foundation.''' 2020, [http://www.ispms.ru/ru/52/ Physical Mesomechanics], Vol. 23, No. 2, pp. 109–119 ([http://www.ispms.ru/ru/journals/465/2658/ abstract], download [[media:Krivtsov_Babenkov_PM_2020.pdf |pdf]])
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* PRE2 2020: [[V.A. Kuzkin]], [[S.D. Liazhkov]]. '''Equilibration of kinetic temperatures in face-centered cubic lattices'''. 2020, Physical Rev. E, 102, 042219 ([https://link.aps.org/doi/10.1103/PhysRevE.102.042219 abstract], download [[media:10_1103_PhysRevE_102_042219.pdf|pdf]])
  
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* CMT 2020: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source.''' 2020, Continuum Mechanics and Thermodynamics, 32(1), с. 41-61 ([https://link.springer.com/article/10.1007/s00161-019-00782-2 abstract], download [[media:Gavrilov_CMT_2020.pdf|pdf]])
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===2019===
  
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* MPM 2019: [[A.M. Krivtsov]], [[E.A. Podolskaya]], [[V.Yu. Shubina]]. '''Asymptotics of a thermal wave in a one-dimensional harmonic crystal.''' 2019, [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics], Vol. 42, pp. 837-845 (download [[media:MPM642_15_krivtsov.pdf | pdf]]).
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* PRE1 2019: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Thermal equilibration in a one-dimensional damped harmonic crystal'''. 2019, Phys. Rev. E, E100, 022117 ([https://journals.aps.org/pre/accepted/3d070R5aS2d1102d302744d735916715cb09ce08f abstract], download [[media:Gavrilov_Krivtsov_PhysRev_2019.pdf|pdf]])
  
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* AR 2019: [[A.M. Krivtsov]], [[A.S. Murachev]]. '''Transition to thermal equilibrium in a deformed crystal'''. 2019, ArXiv:1908.05464 ([https://arxiv.org/abs/1908.05464 abstract], download [http://mech.spbstu.ru/images/c/c3/Murachev_2019_ArXiv.pdf pdf])
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* MPM 2019: [[A.M. Krivtsov]], [[E.A. Podolskaya]], [[V.Yu. Shubina]]. '''Asymptotics of a thermal wave in a one-dimensional harmonic crystal.''' 2019, [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics], 42, 837-845 (download [[media:MPM642_15_krivtsov.pdf | pdf]]).
  
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* PR1 2019: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Thermal equilibration in a one-dimensional damped harmonic crystal'''. 2019, [https://journals.aps.org/pre/ Physical review E], E100, 022117 ([https://journals.aps.org/pre/accepted/3d070R5aS2d1102d302744d735916715cb09ce08f abstract], download [[media:Gavrilov_Krivtsov_PhysRev_2019.pdf|pdf]])
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* ARX 2019: [[A.M. Krivtsov]], [[A.S. Murachev]]. '''Transition to thermal equilibrium in a deformed crystal'''. 2019, ArXiv: 1908.05464 ([https://arxiv.org/abs/1908.05464 abstract], download [http://mech.spbstu.ru/images/c/c3/Murachev_2019_ArXiv.pdf pdf])  
  
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* ZAM 2019: [[O.S. Loboda]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[D.V. Tsvetkov]]. '''Thermal processes in a one-dimensional crystal with regard for the second coordination sphere'''. 2019, [https://onlinelibrary.wiley.com/journal/15214001 ZAMM]. 13 p. ([[media:Loboda_Zamm_19.pdf |pdf]]).
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* PMM 2019: [[A.M. Krivtsov]], [[M.B. Babenkov]], [[D.V. Tsvetkov]]. '''Heat Propagation in a One-Dimensional Harmonic  Crystal on an Elastic Foundation.''' 2020, [http://www.ispms.ru/ru/52/ Physical Mesomechanics], 23, 2, 109–119 ([http://www.ispms.ru/ru/journals/465/2658/ abstract], download [[media:Krivtsov_Babenkov_PM_2020.pdf |pdf]])  
  
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* CM3 2019: [[V.A. Kuzkin]]. '''Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell.''' [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, 26 p. ([[media:Kuzkin_2019_CMAT.pdf |pdf]]).  
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* DPG 2019: [[A.M. Krivtsov]]. '''The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal.''' 2019, [https://link.springer.com/book/10.1007/978-3-030-11665-1 Altenbach H., Belyaev A., Eremeyev V., Krivtsov A., Porubov A. (eds) Dynamical Processes in Generalized Continua and Structures. Advanced Structured Materials, Springer], 103, 345–358 ([https://link.springer.com/chapter/10.1007/978-3-030-11665-1_19 abstract], [[media: Krivtsov_Ballistic.pdf|pdf]]).  
  
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* PR 2019: [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [[E.N. Vilchevskaya]]. '''Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation.''' [https://journals.aps.org/pre/ Physical Review E]. 2019, Vol. 99, 042107 ([https://journals.aps.org/pre/accepted/53079Rb3I7211316f7091ae76420724fca5745d95 abstract], [[Media:Sokolov_PhysRev_2019.pdf|pdf]]).  
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* CMT1 2019: [[V.A. Kuzkin]]. '''Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell. '''2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics], 31, 1573–1599 ([https://link.springer.com/article/10.1007/s00161-019-00802-1 abstract], download [[media:Kuzkin_2019_CMAT.pdf |pdf]]).
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* CMT 2019: [[V.A. Kuzkin]]. '''Thermal equilibration in infinite harmonic crytals'''. 2019, [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics],31, 1401–1423 ([https://rd.springer.com/article/10.1007/s00161-019-00758-2#citeas abstract], [[media: Kuzkin2019_Article_ThermalEquilibrationInInfinite.pdf|pdf]]).
  
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*DPG 2019: [[A.M. Krivtsov]]. '''The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal.''' [https://link.springer.com/book/10.1007/978-3-030-11665-1 Dynamical Processes in Generalized Continua and Structures]. 2019, Vol. 103, pp. 345–358 ([https://link.springer.com/chapter/10.1007/978-3-030-11665-1_19 abstract], [[media: Krivtsov_Ballistic.pdf|pdf]]).  
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* ZAMM 2019: [[O.S. Loboda]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[D.V. Tsvetkov]]. '''Thermal processes in a one-dimensional crystal with regard for the second coordination sphere'''. 2019, Zeitschrift fur Angewandte Mathematik und Mechanik, 99, e201900008 ([https://onlinelibrary.wiley.com/doi/full/10.1002/zamm.201900008 abstract], download [[media:Loboda_Zamm_19.pdf |pdf]]).  
  
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* CM2 2019: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source.''' [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, Vol. 31, 21 p. ([https://rd.springer.com/article/10.1007/s00161-019-00782-2 abstract], [[media: Gavrilov-Krivtsov2019_Article_Steady-stateKineticTemperature.pdf|pdf]]).  
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* JPCM 2019: [[A.S. Murachev]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Thermal echo in a one-dimensional harmonic crystal.''' 2019, [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter], 31(9). ([http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/meta abstract], [[media: Murachev_2019_JPCM.pdf|pdf]]).  
  
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* IOP 2019: [[A.S. Murachev]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Thermal echo in a one-dimensional harmonic crystal.''' [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter]. 2019, Vol. 31, Num. 9. ([http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/meta abstract], [[media: Murachev_2019_JPCM.pdf|pdf]]).  
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* PRE 2019: [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [[E.N. Vilchevskaya]]. '''Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation.''' 2019, [https://journals.aps.org/pre/ Phys. Rev. E], 99, 042107 ([https://journals.aps.org/pre/accepted/53079Rb3I7211316f7091ae76420724fca5745d95 abstract], [[Media:Sokolov_PhysRev_2019.pdf|pdf]]).
  
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* CMT 2019: [[V.A. Kuzkin]]. '''Thermal equilibration in infinite harmonic crytals'''. [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, 23 p. ([https://rd.springer.com/article/10.1007/s00161-019-00758-2#citeas abstract], [[media: Kuzkin2019_Article_ThermalEquilibrationInInfinite.pdf|pdf]]).
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===2018===
  
 
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* AR2 2018: [[V.A. Kuzkin]]. '''Fast and slow thermal processes in harmonic crystals with polyatomic lattice'''. arXiv:1808.07255. 2018, 34 p. ([https://arxiv.org/abs/1808.07255 abstract], [https://arxiv.org/pdf/1808.07255.pdf pdf]).
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* ARX 2018: [[V.A. Kuzkin]]. '''Fast and slow thermal processes in harmonic crystals with polyatomic lattice'''. arXiv:1808.07255. 2018, 34 p. ([https://arxiv.org/abs/1808.07255 abstract], [https://arxiv.org/pdf/1808.07255.pdf pdf]).
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* POS 2018: [[А.М. Кривцов]], [[В. А. Кузькин]]. '''Механика дискретных сред. Переходные тепловые процессы в гармонических кристаллах: учебное пособие.''' СПб.: [http://gpupress.ru/ Изд-во Политехн. ун-та]. 2018. 90 с. (download [[media: Kuzkin_Krivtsov_2018_Posobie.pdf |pdf]]). ''(Главы пособия — доработанные статьи ФТИ 2016 и ФТТ 2017).''
 
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* MPM 2018: [[E.A. Podolskaya]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Anomalous heat transfer in one-­dimensional diatomic harmonic crystal.''' [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics]. 2018, 40, pp. 172–180 ([[media:MPM240_05_podolskaya.pdf‎ |pdf]]).
 
  
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* CMT 2018: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply.''' [https://link.springer.com/journal/161/ Continuum Mechanics and Thermodynamics]. 2018, Vol. 31, pp. 255–272 ([https://link.springer.com/article/10.1007/s00161-018-0681-3 abstract], [[media: Gavrilov_Krivtsov_Tsvetkov_Heat_Transfer.pdf|pdf]])
 
  
−
* AMM 2018: [[A.M. Krivtsov]], [[A.A. Sokolov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://mc.spbstu.ru/uPeople/profile/112/ A.B. Freidin]. '''One-Dimensional Heat Conduction and Entropy Production.''' [https://link.springer.com/book/10.1007%2F978-3-319-73694-5 Advances in Mechanics of Microstructured Media and Structures]. 2018, Vol. 87, pp. 197–214 ([[media: A._M._Krivtsov,_A._A._Sokolov,_W.H._Müller,_A._B._Freidin.pdf |pdf]]).  
+
* CMT 2018: [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply.''' 2018, [https://link.springer.com/journal/161/ Continuum Mechanics and Thermodynamics], 31, 255–272 ([https://link.springer.com/article/10.1007/s00161-018-0681-3 abstract], [[media: Gavrilov_Krivtsov_Tsvetkov_Heat_Transfer.pdf|pdf]])
 +
 
 +
* AMM 2018: [[A.M. Krivtsov]], [[A.A. Sokolov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://mc.spbstu.ru/uPeople/profile/112/ A.B. Freidin]. '''One-Dimensional Heat Conduction and Entropy Production.''' 2018, [https://link.springer.com/book/10.1007%2F978-3-319-73694-5 Advances in Mechanics of Microstructured Media and Structures], 87, 197–214 ([https://www.researchgate.net/publication/323423777_One-Dimensional_Heat_Conduction_and_Entropy_Production abstract], download [[media: A._M._Krivtsov,_A._A._Sokolov,_W.H._Müller,_A._B._Freidin.pdf |pdf]]).  
  
−
* ECM 2018: [[A.M. Krivtsov]],  [[V.A. Kuzkin]]. '''Discrete and continuum thermomechanics.''' [https://www.springer.com/gp/book/9783662557709 Encyclopedia of Continuum Mechanics]. 2018, 16 p. ([[media:Kuzkin_2018_Encyclopedia.pdf|pdf]])  
+
* ECM 2018: [[A.M. Krivtsov]],  [[V.A. Kuzkin]]. '''Discrete and continuum thermomechanics.''' 2018, [https://rd.springer.com/referencework/10.1007/978-3-662-53605-6 Altenbach H., Öchsner A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg]. ([https://rd.springer.com/referenceworkentry/10.1007/978-3-662-53605-6_67-1 abstract], download [[media:Kuzkin_2018_Encyclopedia.pdf|pdf]])  
  
−
* LMA 2018: V.A. Tsaplin, [[V.A. Kuzkin]]. '''Temperature oscillations in harmonic triangular lattice with random initial velocities.''' [https://lettersonmaterials.com/en Letters on Materials]. 2018, 8(1), pp. 16–20 ([[media:Kuzkin_2018_LettMat_TempOscil.pdf|pdf]]).  
+
* MPM 2018: [[E.A. Podolskaya]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Anomalous heat transfer in one-­dimensional diatomic harmonic crystal.''' 2018, [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics], 40, 172–180 ([https://mpm.spbstu.ru/article/2018.66.5/ abstract], download [[media:MPM240_05_podolskaya.pdf‎ |pdf]]).  
  
−
* JPH 2017: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Fast and slow thermal processes in harmonic scalar lattices.''' 2017, [http://iopscience.iop.org/journal/0953-8984/ Journal of Physics: Condensed Matter]. 2017, Vol. 29, No. 50, 14 p. ([http://iopscience.iop.org/article/10.1088/1361-648X/aa98eb abstract], [[media:Kuzkin_2017_JPhys_Condens_Matter.pdf |pdf]]).  
+
* LMA 2018: [[V.A. Tsaplin]], [[V.A. Kuzkin]]. '''Temperature oscillations in harmonic triangular lattice with random initial velocities.''' 2018, [https://lettersonmaterials.com/en Letters on Materials], 8(1),  16–20 ([https://lettersonmaterials.com/en/Readers/Article.aspx?aid=2539 abstract], download [[media:Kuzkin_2018_LettMat_TempOscil.pdf|pdf]]).
  
−
* АR2 2017: [[A.M. Krivtsov]]. '''On heat transfer in a thermally perturbed harmonic chain.''' ArXiv:1709.07924. 2017, 2 p. ([https://arxiv.org/abs/1709.07924 abstract], [https://arxiv.org/pdf/1709.07924.pdf pdf]).  
+
===2017===
 +
<!--
 +
* ЧЕС 2017: [[А.М. Кривцов]], [[А.С. Мурачёв]], [[Д.В. Цветков]]. '''Нестационарные термо-диффузионные процессы в конечном одномерном кристалле.''' 2017,[http://www.chebsbornik.ru/jour Чебышевский сборник],том 18, №3, 330–349 ([http://www.chebsbornik.ru/jour/article/view/363 аннотация], download [[media: Нестационарные_термо-диффузионные_процессы_в_конечном_одномерном_кристалле.pdf|pdf]]). ''(Обобщение ДАН 2014 для конечного кристалла, наряду с тепловыми рассматриваются диффузионные характеристики).''
 +
-->
  
−
* ФММ 2017: [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller]. '''Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction.''' Physical Mesomechanics. 2017, Vol. 20, No. 3, pp. 305–310 ([[media: Sokolov 2017 PMM eng.pdf |pdf]]).
 
  
−
* ФТТ 2017: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''An analytical description of transient thermal processes in harmonic crystals.''' [https://link.springer.com/journal/11451 Physics of the Solid State]. 2017, Vol. 59, No. 5, pp. 1051–1062, [[media: Kuzkin 2017 PhysSolState Eng.pdf |pdf]].  
+
* АRX 2017: [[A.M. Krivtsov]]. '''On heat transfer in a thermally perturbed harmonic chain.''' ArXiv:1709.07924. 2017, 2 p. ([https://arxiv.org/abs/1709.07924 abstract], download [https://arxiv.org/pdf/1709.07924.pdf pdf]).
 +
 +
* JPCM 2017: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Fast and slow thermal processes in harmonic scalar lattices.''' 2017, [http://iopscience.iop.org/journal/0953-8984/ Journal of Physics: Condensed Matter], 29 (50) ([http://iopscience.iop.org/article/10.1088/1361-648X/aa98eb abstract], [[media:Kuzkin_2017_JPhys_Condens_Matter.pdf |pdf]]).  
  
−
* ДАН 2017: [[V.A. Kuzkin]], [[A.M. Krivtsov]] '''High-frequency thermal processes in harmonic crystals.''' [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2017, №5, pp. 529–533 ([https://link.springer.com/article/10.1134/S1028335817020070?wt_mc=Internal.Event.1.SEM.ArticleAuthorOnlineFirst abstract],  [[media:Krivtsov_Kuzkin_DAN_2017_eng.pdf |pdf]]).  
+
* PSS 2017: [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''An analytical description of transient thermal processes in harmonic crystals.''' [https://link.springer.com/journal/11451 Physics of the Solid State]. 2017, Vol. 59, No. 5, pp. 1051–1062, ([https://www.researchgate.net/publication/316514694_An_analytical_description_of_transient_thermal_processes_in_harmonic_crystals abstract], [[media: Kuzkin 2017 PhysSolState Eng.pdf |pdf]]).
 +
 
 +
* DAN 2017: [[V.A. Kuzkin]], [[A. M. Krivtsov ]] '''High-frequency thermal processes in harmonic crystals.'''2017, [http://pleiades.online/en/journal/danphys/ Doklady Physics], 5, 529–533 ([https://link.springer.com/article/10.1134/S1028335817020070?wt_mc=Internal.Event.1.SEM.ArticleAuthorOnlineFirst abstract], download [[media:Krivtsov_Kuzkin_DAN_2017_eng.pdf |pdf]]).
 +
 
 +
* PMM 2017: [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller]. '''Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction.''' 2017, Physical Mesomechanics, 20 (3), 305–310 (download [[media: Sokolov 2017 PMM eng.pdf |pdf]]).
 +
 
 +
===2016===
  
 
* ICT 2016: [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Unsteady heat conduction processes in a harmonic crystal with a substrate potential.'''  Proc. of [http://www.ictam2016.org/ XXIV ICTAM], 21-26 August 2016, Montreal, Canada, pp. 2440–2441 ([[media:Babenkov_2016_ICTAM.pdf|pdf]]).  
 
* ICT 2016: [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Unsteady heat conduction processes in a harmonic crystal with a substrate potential.'''  Proc. of [http://www.ictam2016.org/ XXIV ICTAM], 21-26 August 2016, Montreal, Canada, pp. 2440–2441 ([[media:Babenkov_2016_ICTAM.pdf|pdf]]).  
  
−
* ФММ 2016: [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate.''' [http://www.ispms.ru/ru/53/ Phys. Mesomech.]. 2016, 19, No. 3, pp. 282–290 ([[media: Krivtsov_PhysMech_2016.pdf|pdf]]).  
+
* PMM 2016: [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate.''' 2016,[http://www.ispms.ru/ru/53/ Phys. Mesomech.], 19(3), 282–290 (download [[media: Krivtsov_PhysMech_2016.pdf|pdf]]).
  
−
* АRХ 2015: [[A.M. Krivtsov]]. '''On unsteady heat conduction in a harmonic crystal.''' 2015, ArXiv:1509.02506, 5 p. ([http://arxiv.org/abs/1509.02506 abstract], [http://arxiv.org/pdf/1509.02506v2.pdf pdf], [[:en:Heat transfer in a 1D harmonic crystal|simulation]]).
+
===2015===
  
−
* ДАН 2015: [[A.M. Krivtsov]]. '''Heat transfer in infinite harmonic one dimensional crystals.''' [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2015, Vol. 60, No. 9, pp. 407–411 ([[media: Krivtsov 2015 DAN eng.pdf.pdf|pdf]]).  
+
* АRХ 2015: [[A.M. Krivtsov]]. '''On unsteady heat conduction in a harmonic crystal.''' 2015, ArXiv:1509.02506, 5 p. ([http://arxiv.org/abs/1509.02506 abstract], download [http://arxiv.org/pdf/1509.02506v2.pdf pdf], [[:en:Heat transfer in a 1D harmonic crystal|simulation]]).  
  
−
* ДАН 2014: [[A.M. Krivtsov]]. '''Energy Oscillations in a One-Dimensional Crystal'''. [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2014, Vol. 59, No. 9, pp. 427–430 ([[media: Krivtsov_2014_DAN_eng_corrected.pdf|pdf]]).
+
* DAN 2015: [[A.M. Krivtsov]]. '''Heat transfer in infinite harmonic one dimensional crystals.''' [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2015, Vol. 60, No. 9, pp. 407–411 (download [[media: Krivtsov 2015 DAN eng.pdf.pdf|pdf]]).
 +
 
 +
===2014===
 +
 
 +
* DAN 2014: [[A.M. Krivtsov]]. '''Energy Oscillations in a One-Dimensional Crystal'''. [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2014, Vol. 59, No. 9, pp. 427–430 (download [[media: Krivtsov_2014_DAN_eng_corrected.pdf|pdf]]).  
 +
 
 +
 
 +
<!--=== ====
 +
 
 +
 
 +
 
 +
* [[V.A. Kuzkin]], S.D. Liazhkov, '''Equilibration of kinetic temperatures in face-centered cubic lattices'''. 2020, Physical Review E, 102, 042219 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.042219 abstract], download [[media:Kuzkin_2020_PRE_FCC.pdf| pdf]])
 +
 
 +
* [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature'''. 2020, Physical Review, E 101, 042209 ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.042209 abstract], download [[media:Kuzkin_2020_PRE.pdf|pdf]])
 +
 
 +
* [[A.M. Krivtsov]], [[M.B. Babenkov]], [[D.V. Tsvetkov]]. '''Heat Propagation in a One-Dimensional Harmonic  Crystal on an Elastic Foundation.''' 2020, [http://www.ispms.ru/ru/52/ Physical Mesomechanics], Vol. 23, No. 2, pp. 109–119 ([http://www.ispms.ru/ru/journals/465/2658/ abstract], download [[media:Krivtsov_Babenkov_PM_2020.pdf |pdf]])
 +
 
 +
* [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source.''' 2020, Continuum Mechanics and Thermodynamics, 32(1), с. 41-61 ([https://link.springer.com/article/10.1007/s00161-019-00782-2 abstract], download [[media:Gavrilov_CMT_2020.pdf|pdf]])
 +
 
 +
* [[A.M. Krivtsov]], [[E.A. Podolskaya]], [[V.Yu. Shubina]]. '''Asymptotics of a thermal wave in a one-dimensional harmonic crystal.''' 2019, [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics], Vol. 42, pp. 837-845 (download [[media:MPM642_15_krivtsov.pdf | pdf]]).
 +
 
 +
* [[A.M. Krivtsov]], [[A.S. Murachev]]. '''Transition to thermal equilibrium in a deformed crystal'''. 2019, ArXiv:1908.05464 ([https://arxiv.org/abs/1908.05464 abstract], download [http://mech.spbstu.ru/images/c/c3/Murachev_2019_ArXiv.pdf pdf])
 +
 
 +
* [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Thermal equilibration in a one-dimensional damped harmonic crystal'''. 2019, [https://journals.aps.org/pre/ Physical review E], E100, 022117 ([https://journals.aps.org/pre/accepted/3d070R5aS2d1102d302744d735916715cb09ce08f abstract], download [[media:Gavrilov_Krivtsov_PhysRev_2019.pdf|pdf]])
 +
 
 +
* [[O.S. Loboda]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov], [[D.V. Tsvetkov]]. '''Thermal processes in a one-dimensional crystal with regard for the second coordination sphere'''. 2019, [https://onlinelibrary.wiley.com/journal/15214001 ZAMM]. 13 p. ([[media:Loboda_Zamm_19.pdf |pdf]]).
 +
 
 +
* [[V.A. Kuzkin]]. '''Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell.''' [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, 26 p. ([[media:Kuzkin_2019_CMAT.pdf |pdf]]).
 +
 
 +
* [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [[E.N. Vilchevskaya]]. '''Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation.''' [https://journals.aps.org/pre/ Physical Review E]. 2019, Vol. 99, 042107 ([https://journals.aps.org/pre/accepted/53079Rb3I7211316f7091ae76420724fca5745d95 abstract], [[Media:Sokolov_PhysRev_2019.pdf|pdf]]).
 +
 
 +
* [[A.M. Krivtsov]]. '''The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal.''' [https://link.springer.com/book/10.1007/978-3-030-11665-1 Dynamical Processes in Generalized Continua and Structures]. 2019, Vol. 103, pp. 345–358 ([https://link.springer.com/chapter/10.1007/978-3-030-11665-1_19 abstract], [[media: Krivtsov_Ballistic.pdf|pdf]]).
 +
 
 +
* [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]]. '''Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source.''' [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, Vol. 31, 21 p. ([https://rd.springer.com/article/10.1007/s00161-019-00782-2 abstract], [[media: Gavrilov-Krivtsov2019_Article_Steady-stateKineticTemperature.pdf|pdf]]).
 +
 
 +
* [[A.S. Murachev]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Thermal echo in a one-dimensional harmonic crystal.''' [https://iopscience.iop.org/journal/0953-8984 Journal of Physics: Condensed Matter]. 2019, Vol. 31, Num. 9. ([http://iopscience.iop.org/article/10.1088/1361-648X/aaf3c6/meta abstract], [[media: Murachev_2019_JPCM.pdf|pdf]]).
 +
 
 +
* [[V.A. Kuzkin]]. '''Thermal equilibration in infinite harmonic crytals'''. [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, 23 p. ([https://rd.springer.com/article/10.1007/s00161-019-00758-2#citeas abstract], [[media: Kuzkin2019_Article_ThermalEquilibrationInInfinite.pdf|pdf]]).
 +
 
 +
 
 +
* AR2 2018: [[V.A. Kuzkin]]. '''Fast and slow thermal processes in harmonic crystals with polyatomic lattice'''. arXiv:1808.07255. 2018, 34 p. ([https://arxiv.org/abs/1808.07255 abstract], [https://arxiv.org/pdf/1808.07255.pdf pdf]).
 +
--><!--
 +
* [[E.A. Podolskaya]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Anomalous heat transfer in one-­dimensional diatomic harmonic crystal.''' [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics]. 2018, 40, pp. 172–180 ([[media:MPM240_05_podolskaya.pdf‎ |pdf]]).
 +
 
 +
* [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply.''' [https://link.springer.com/journal/161/ Continuum Mechanics and Thermodynamics]. 2018, Vol. 31, pp. 255–272 ([https://link.springer.com/article/10.1007/s00161-018-0681-3 abstract], [[media: Gavrilov_Krivtsov_Tsvetkov_Heat_Transfer.pdf|pdf]])
 +
 
 +
* [[A.M. Krivtsov]], [[A.A. Sokolov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller], [http://mc.spbstu.ru/uPeople/profile/112/ A.B. Freidin]. '''One-Dimensional Heat Conduction and Entropy Production.''' [https://link.springer.com/book/10.1007%2F978-3-319-73694-5 Advances in Mechanics of Microstructured Media and Structures]. 2018, Vol. 87, pp. 197–214 ([[media: A._M._Krivtsov,_A._A._Sokolov,_W.H._Müller,_A._B._Freidin.pdf |pdf]]).
 +
 
 +
* [[A.M. Krivtsov]],  [[V.A. Kuzkin]]. '''Discrete and continuum thermomechanics.''' [https://www.springer.com/gp/book/9783662557709 Encyclopedia of Continuum Mechanics]. 2018, 16 p. ([[media:Kuzkin_2018_Encyclopedia.pdf|pdf]])
 +
 
 +
* V.A. Tsaplin, [[V.A. Kuzkin]]. '''Temperature oscillations in harmonic triangular lattice with random initial velocities.''' [https://lettersonmaterials.com/en Letters on Materials]. 2018, 8(1), pp. 16–20 ([[media:Kuzkin_2018_LettMat_TempOscil.pdf|pdf]]).
 +
 
 +
* [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''Fast and slow thermal processes in harmonic scalar lattices.''' 2017, [http://iopscience.iop.org/journal/0953-8984/ Journal of Physics: Condensed Matter]. 2017, Vol. 29, No. 50, 14 p.  ([http://iopscience.iop.org/article/10.1088/1361-648X/aa98eb abstract], [[media:Kuzkin_2017_JPhys_Condens_Matter.pdf |pdf]]).
 +
 
 +
* [[A.M. Krivtsov]]. '''On heat transfer in a thermally perturbed harmonic chain.''' ArXiv:1709.07924. 2017, 2 p. ([https://arxiv.org/abs/1709.07924 abstract], [https://arxiv.org/pdf/1709.07924.pdf pdf]).
 +
 
 +
* [[A.A. Sokolov]], [[A.M. Krivtsov]], [http://www.lkm.tu-berlin.de/menue/mitarbeiterinnen_sprechstunden/prof_dr_rer_nat_w_h_mueller/ W.H. Müller]. '''Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction.''' Physical Mesomechanics. 2017, Vol. 20, No. 3, pp. 305–310 ([[media: Sokolov 2017 PMM eng.pdf |pdf]]).
 +
 
 +
* [[V.A. Kuzkin]], [[A.M. Krivtsov]]. '''An analytical description of transient thermal processes in harmonic crystals.''' [https://link.springer.com/journal/11451 Physics of the Solid State]. 2017, Vol. 59, No. 5, pp. 1051–1062, [[media: Kuzkin 2017 PhysSolState Eng.pdf |pdf]].
 +
 
 +
* [[V.A. Kuzkin]], [[A.M. Krivtsov]] '''High-frequency thermal processes in harmonic crystals.''' [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2017, №5, pp. 529–533 ([https://link.springer.com/article/10.1134/S1028335817020070?wt_mc=Internal.Event.1.SEM.ArticleAuthorOnlineFirst abstract],  [[media:Krivtsov_Kuzkin_DAN_2017_eng.pdf |pdf]]).
 +
 
 +
* [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Unsteady heat conduction processes in a harmonic crystal with a substrate potential.'''  Proc. of [http://www.ictam2016.org/ XXIV ICTAM], 21-26 August 2016, Montreal, Canada, pp. 2440–2441 ([[media:Babenkov_2016_ICTAM.pdf|pdf]]).
 +
 
 +
* [[M.B. Babenkov]], [[A.M. Krivtsov]], [[D.V. Tsvetkov]]. '''Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate.''' [http://www.ispms.ru/ru/53/ Phys. Mesomech.]. 2016, 19, No. 3, pp. 282–290 ([[media: Krivtsov_PhysMech_2016.pdf|pdf]]).
 +
 
 +
* [[A.M. Krivtsov]]. '''On unsteady heat conduction in a harmonic crystal.''' 2015, ArXiv:1509.02506, 5 p. ([http://arxiv.org/abs/1509.02506 abstract], [http://arxiv.org/pdf/1509.02506v2.pdf pdf], [[:en:Heat transfer in a 1D harmonic crystal|simulation]]).
 +
 
 +
* [[A.M. Krivtsov]]. '''Heat transfer in infinite harmonic one dimensional crystals.''' [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2015, Vol. 60, No. 9, pp. 407–411 ([[media: Krivtsov 2015 DAN eng.pdf.pdf|pdf]]).
 +
 
 +
* [[A.M. Krivtsov]]. '''Energy Oscillations in a One-Dimensional Crystal'''. [http://pleiades.online/en/journal/danphys/ Doklady Physics]. 2014, Vol. 59, No. 9, pp. 427–430 ([[media: Krivtsov_2014_DAN_eng_corrected.pdf|pdf]]).
 +
-->
  
 
== Additional publications ==
 
== Additional publications ==
Line 100: Line 251:
 
== Conferences talks ==
 
== Conferences talks ==
  
−
 
+
* [[A.M. Krivtsov]]. June 22, 2020: '''Hooke’s chain'''. ''Keynote lecture.'' St. Petersburg, [http://apm-conf.spb.ru/apmonline2020 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE"].
 +
* [http://www.pdmi.ras.ru/~serge/index.html S.N. Gavrilov]. June 22, 2020: '''Heat conduction in 1D harmonic crystal: discrete-to-continuum limit and slow-and-fast motions decoupling'''. St. Petersburg, [http://apm-conf.spb.ru/apmonline2020 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE"].
 +
* [[V.A. Kuzkin]]. June 22, 2020: '''Ballistic resonance and thermalization in Fermi-Pasta-UlamTsingou chain at finite temperature'''. St. Petersburg, [http://apm-conf.spb.ru/apmonline2020 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE"].
 +
* [[A.Yu. Panchenko]]. June 22, 2020: '''Ballistic heat propagation in a 2D harmonic graphene lattice'''. St. Petersburg, [http://apm-conf.spb.ru/apmonline2020 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE"].
 +
* [[A.A. Sokolov]]. June 22, 2020: '''Ballistic heat conduction in graphene: The approach based on analytical results obtained from lattice dynamics and dispersion relations measured in MD simulations and experiments'''. St. Petersburg, [http://apm-conf.spb.ru/apmonline2020 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE"].
 
* [[A.M. Krivtsov]]. October 2, 2019: '''Ballistic and diffusive heat process in ultrapure materials'''. ''Plenary lecture.'' Tomsk, [http://www.ispms.ru/en/ispmsconf/10/ The International Workshop "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems" in Memory of Professor Sergey Grigor'evich Psakhie].
 
* [[A.M. Krivtsov]]. October 2, 2019: '''Ballistic and diffusive heat process in ultrapure materials'''. ''Plenary lecture.'' Tomsk, [http://www.ispms.ru/en/ispmsconf/10/ The International Workshop "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems" in Memory of Professor Sergey Grigor'evich Psakhie].
 
* [[A.M. Krivtsov]]. June 25, 2019: '''Wave and diffusive heat processes in ultrapure materials'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
 
* [[A.M. Krivtsov]]. June 25, 2019: '''Wave and diffusive heat processes in ultrapure materials'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
Line 116: Line 271:
 
* [[A.M. Krivtsov]]. June 23, 2018: '''Unsteady thermal processes in harmonic crystals'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2017].
 
* [[A.M. Krivtsov]]. June 23, 2018: '''Unsteady thermal processes in harmonic crystals'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2017].
 
*  [[A.A. Sokolov]]. September 17, 2016. '''Localized heat impulses and non-Fourier heat propagation in 1-D crystals'''. Tomsk, [http://www.ispms.ru/en/IWCMM26/ 26th INTERNATIONAL WORKSHOP ON COMPUTATIONAL MECHANICS OF MATERIALS].
 
*  [[A.A. Sokolov]]. September 17, 2016. '''Localized heat impulses and non-Fourier heat propagation in 1-D crystals'''. Tomsk, [http://www.ispms.ru/en/IWCMM26/ 26th INTERNATIONAL WORKSHOP ON COMPUTATIONAL MECHANICS OF MATERIALS].
−
 
 
* [[A.M. Krivtsov]]. June 25, 2016. '''On unsteady heat conduction in a harmonic crystal'''. Sheffield, UK, [http://www.sheffield.ac.uk/materials/nesc/index Non-Equilibrium Simulation Conference (NESC 2016)].
 
* [[A.M. Krivtsov]]. June 25, 2016. '''On unsteady heat conduction in a harmonic crystal'''. Sheffield, UK, [http://www.sheffield.ac.uk/materials/nesc/index Non-Equilibrium Simulation Conference (NESC 2016)].
 
* [[A.M. Krivtsov]]. June 27, 2016. '''Unsteady thermal processes in harmonic crystals'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2016].
 
* [[A.M. Krivtsov]]. June 27, 2016. '''Unsteady thermal processes in harmonic crystals'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2016].
−
 
 
* [[A.M. Krivtsov]]. June 22, 2015. '''One-dimensional crystals and heat superconductivity.''' ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2015].
 
* [[A.M. Krivtsov]]. June 22, 2015. '''One-dimensional crystals and heat superconductivity.''' ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2015].
  
 
== Links ==
 
== Links ==
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* [[Main_Page | Department "Theoretical Mechanics"]]
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* [[Main_Page | Higher school of theoretical mechanics]]

Latest revision as of 14:11, 22 November 2024

Ballistic resonance and thermalization in FPU chain
TM > Project "Thermocrystal"

The project is devoted to development of analytical models of nonequilibrium thermal processes in ultrapure crystals.

Publications[edit]

2024[edit]

  • CMT 2024: S.N. Gavrilov, E.V. Shishkina. Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect. 2024, Continuum Mechanics and Thermodynamics (abstract, download pdf)
  • PRE 2024: A.M. Krivtsov, V.A. Kuzkin, V.A. Tsaplin. Transition from ballistic to diffusive heat transfer in a chain with breaks. 2024, Phys. Rev. E, 110, 054123 (abstract, download pdf)
  • AM 2024: S.D. Liazhkov. Energy supply into a semi-infinite Fermi–Pasta–Ulam–Tsingou chain by periodic force loading. 2024, Acta Mech (abstract, download pdf)
  • PHA 2024: A.A. Lykov, A.S. Murachev. On the kinetic temperature of a one-dimensional crystal on the long-time scale. 2024, Physica A: Statistical Mechanics and its Applications, 654, 130114 (abstract, download pdf)

2023[edit]

  • PRE1 2023: S.V. Dmitriev, V.A. Kuzkin, A.M. Krivtsov. Nonequilibrium thermal rectification at the junction of harmonic chains. 2023, Phys. Rev. E, 108, 054221 (abstract, download pdf)
  • PRE2 2023: V.A. Kuzkin. Acoustic transparency of the chain-chain interface. 2023, Phys. Rev. E, 107, 065004 (abstract, download pdf)
  • CMT 2023: S.D. Liazhkov. Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain. 2023, Continuum Mechanics and Thermodynamics, 35(2), 413-430 (abstract, download pdf)
  • PNRPU 2023: R.V. Rubinova, O.S. Loboda, A.M. Krivtsov. Ballistic heat transfer in a one-dimensional crystal with long-range interactions. 2023, PNRPU Mechanics Bulletin, 5, 74-80 (download pdf)
  • ASM 2023: E.V. Shishkina, S.N. Gavrilov. Localized Modes in a 1D Harmonic Crystal with a Mass-Spring Inclusion. 2023, Advances in Linear and Nonlinear Continuum and Structural Mechanics. Advanced Structured Materials, 461-479 (abstract, download pdf)
  • CMT1 2023: E.V. Shishkina, S.N. Gavrilov. Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect. 2023, Continuum Mechanics and Thermodynamics, 35, 431–456 (abstract, download pdf)

2022[edit]

  • JHMT 2022: S.N. Gavrilov. Discrete and continuum fundamental solutions describing heat conduction in a 1D harmonic crystal: Discrete-to-continuum limit and slow-and-fast motions decoupling. 2022, International Journal of Heat and Mass Transfer, 194, 123019 (abstract, download pdf).
  • CMT 2022: S.N. Gavrilov, A.M. Krivtsov. Steady-state ballistic thermal transport associated with transversal motions in a damped graphene lattice subjected to a point heat source. 2022, Continuum Mechanics and Thermodynamics, 34(1), 297–319 (abstract, download pdf)
  • ZAMM 2022: A.M. Krivtsov. Dynamics of matter and energy. 2022, Zeitschrift fur Angewandte Mathematik und Mechanik, 103, e202100496 (abstract, download pdf)
  • ASM 2022: E.A. Podolskaya, A.M. Krivtsov, V.A. Kuzkin. Discrete thermomechanics: From thermal echo to ballistic resonance (A review). 2022, In: Polyanskiy, V.A., Belyaev, A.K. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, 164. Springer, Cham. (download pdf)
  • A.V. Porubov, A.M. Krivtsov. Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice. 2022, Continuum Mechanics and Thermodynamics, 34, 1475–1483 (abstract, download pdf)
  • MPM 2022: R.V. Rubinova, O.S. Loboda, A.M. Krivtsov. Heat transfer in infinite one-dimensional crystal considering the third coordination sphere. 2022, Materials Physics and Mechanics, 50(3), 365-372. (abstract, download pdf)
  • ASM1 2022: A.A. Sokolov, W.H. Müller, A.M. Krivtsov, A.V. Porubov. Signatures of Transient Purely Ballistic Heat Conduction: Theory and Experimental Investigation. 2022, Mechanics and Control of Solids and Structures, Advanced Structured Materials 164 (abstract, download pdf)

2021[edit]

  • AM 2021: V.A. Kuzkin, A.M. Krivtsov. Unsteady ballistic heat transport: linking lattice dynamics and kinetic theory. 2021, Acta Mechanica, 232(5), 1983-1996 (abstract, download pdf)

2020[edit]

  • CMT 2020: S.N. Gavrilov, A.M. Krivtsov. Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. 2020, Continuum Mechanics and Thermodynamics, 32(1), 41-61 (abstract, download pdf)
  • PRE 2020: E.A. Korznikova , V.A. Kuzkin, A.M. Krivtsov, D. Xiong , V.A. Gani , A.A. Kudreyko , S.V. Dmitriev. Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains. 2020, Phys. Rev. E 102, 062148 (abstract, download pdf)
  • PRE1 2020: V.A. Kuzkin, A.M. Krivtsov. Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature. 2020, Physical Review, E 101, 042209 (abstract, download pdf)

2019[edit]

2018[edit]

2017[edit]

  • АRX 2017: A.M. Krivtsov. On heat transfer in a thermally perturbed harmonic chain. ArXiv:1709.07924. 2017, 2 p. (abstract, download pdf).
  • PMM 2017: A.A. Sokolov, A.M. Krivtsov, W.H. Müller. Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction. 2017, Physical Mesomechanics, 20 (3), 305–310 (download pdf).

2016[edit]

2015[edit]

  • DAN 2015: A.M. Krivtsov. Heat transfer in infinite harmonic one dimensional crystals. Doklady Physics. 2015, Vol. 60, No. 9, pp. 407–411 (download pdf).

2014[edit]


Additional publications[edit]

Preprints[edit]

Virtual laboratory[edit]

Conferences talks[edit]

Links[edit]

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