Difference between revisions of "Project "Thermocrystal""
From Department of Theoretical and Applied Mechanics
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== Publications == | == Publications == | ||
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+ | ===2023=== | ||
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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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * PRE2 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]]) | ||
+ | |||
+ | * CMT1 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]]) | ||
+ | |||
+ | * PRE1 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]]) | ||
+ | |||
+ | * 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(6) ([https://journals.aps.org/pre/abstract/10.1103/PhysRevE.107.065002 abstract], download [[media: Baimova 2023_PRV.pdf|pdf]]) | ||
+ | |||
+ | * CMT 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]]) | ||
+ | |||
+ | |||
+ | ===2022=== | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]) . | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, 164. Springer, Cham. (download [[media: MCSS_2022.pdf|pdf]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * JPCM1 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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * JPCM 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]]) | ||
+ | |||
+ | ===2021=== | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]] ). | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | ===2020=== | ||
+ | |||
+ | * PRE2 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]]) | ||
+ | |||
+ | * PRE1 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]]) | ||
+ | |||
+ | * PRE 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]]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | ===2019=== | ||
+ | |||
+ | * 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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+ | |||
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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]) | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]). | ||
+ | |||
+ | * 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]]). | ||
+ | |||
+ | * 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]]) | ||
+ | |||
+ | * 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]]). | ||
+ | |||
+ | * 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]]). | ||
+ | |||
+ | * 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]]). | ||
+ | |||
+ | * 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]]). | ||
+ | === ==== | ||
+ | |||
+ | |||
* [[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]], 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]]) |
Revision as of 15:55, 16 February 2024
TM > Project "Thermocrystal"The project is devoted to development of analytical models of nonequilibrium thermal processes in ultrapure crystals.
Contents
Publications
2023
- 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)
- DD 2023: S.N. Gavrilov, E.V. Shishkina, 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 (abstract, download pdf)
- PRE2 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)
- CMT1 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)
- PRE1 2023: V.A. Kuzkin. Acoustic transparency of the chain-chain interface. 2023, Phys. Rev. E, 107, 065004 (abstract, download pdf)
- PRE 2023: J. A. Baimova, N.M. Bessonov, A.M. Krivtsov. Motion of localized disturbances in scalar harmonic lattices. 2023, Phys. Rev. E, 107(6) (abstract, download pdf)
- CMT 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
- 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)
- 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)
- 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) .
- PRE 2022: S.D. Liazhkov, V.A. Kuzkin. Unsteady two-temperature heat transport in mass-in-mass chains. 2022, Phys. Rev. E, 105, 054145 (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., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, 164. Springer, Cham. (download pdf)
- ZAMM 2022: A.M. Krivtsov. Dynamics of matter and energy. 2022, Zeitschrift fur Angewandte Mathematik und Mechanik, 103, e202100496 (abstract, download pdf)
- JPCM1 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 (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)
- JPCM 2022: 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) (abstract, download pdf)
2021
- 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)
- JHMT 2021: A. A. Sokolov, W.H. Müller, A.V. Porubov, S.N. Gavrilov. Heat conduction in 1D harmonic crystal: Discrete and continuum approaches. 2021, International Journal of Heat and Mass Transfer, 176, 121442, (abstract, download pdf ).
- 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, Continuum Mechanics and Thermodynamics, 33(2), pp. 485–496 (abstract, download pdf)
- JPCM 2021: A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a crystal subjected to instantaneous deformation. 2021, Journal of Physics: Condensed Matter, 33(21), 215403 (abstract, download pdf)
2020
- PRE2 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)
- PRE1 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)
- PRE 2020: V.A. Kuzkin, S.D. Liazhkov. Equilibration of kinetic temperatures in face-centered cubic lattices. 2020, Physical Rev. E, 102, 042219 (abstract, download pdf)
- 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)
2019
- MPM 2019: A.M. Krivtsov, E.A. Podolskaya, V.Yu. Shubina. Asymptotics of a thermal wave in a one-dimensional harmonic crystal. 2019, Materials Physics and Mechanics, 42, 837-845 (download pdf).
- ARX 2019: A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal. 2019, ArXiv: 1908.05464 (abstract, download pdf)
- PRE1 2019: S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional damped harmonic crystal. 2019, Phys. Rev. E, E100, 022117 (abstract, download pdf)
- ZAMM 2019: O.S. Loboda, A.M. Krivtsov, 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 (abstract, download pdf).
- CMT1 2019: V.A. Kuzkin. Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell. 2019, Continuum Mechanics and Thermodynamics, 31, 1573–1599 (abstract, download pdf).
- PMM 2019: A.M. Krivtsov, M.B. Babenkov, D.V. Tsvetkov. Heat Propagation in a One-Dimensional Harmonic Crystal on an Elastic Foundation. 2020, Physical Mesomechanics, 23, 2, 109–119 (abstract, download pdf)
- PRE 2019: A.A. Sokolov, A.M. Krivtsov, W.H. Müller, E.N. Vilchevskaya. Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation. 2019, Phys. Rev. E, 99, 042107 (abstract, pdf).
- DPG 2019: A.M. Krivtsov. The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal. 2019, 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 (abstract, pdf).
- JPCM 2019: A.S. Murachev, A.M. Krivtsov, D.V. Tsvetkov. Thermal echo in a one-dimensional harmonic crystal. 2019, Journal of Physics: Condensed Matter, 31(9). (abstract, pdf).
- CMT 2019: V.A. Kuzkin. Thermal equilibration in infinite harmonic crytals. 2019, Continuum Mechanics and Thermodynamics,31, 1401–1423 (abstract, pdf).
=
- V.A. Kuzkin, S.D. Liazhkov, Equilibration of kinetic temperatures in face-centered cubic lattices. 2020, Physical Review E, 102, 042219 (abstract, download 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 (abstract, download pdf)
- A.M. Krivtsov, M.B. Babenkov, D.V. Tsvetkov. Heat Propagation in a One-Dimensional Harmonic Crystal on an Elastic Foundation. 2020, Physical Mesomechanics, Vol. 23, No. 2, pp. 109–119 (abstract, download pdf)
- 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 (abstract, download pdf)
- A.M. Krivtsov, E.A. Podolskaya, V.Yu. Shubina. Asymptotics of a thermal wave in a one-dimensional harmonic crystal. 2019, Materials Physics and Mechanics, Vol. 42, pp. 837-845 (download pdf).
- A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal. 2019, ArXiv:1908.05464 (abstract, download pdf)
- S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional damped harmonic crystal. 2019, Physical review E, E100, 022117 (abstract, download pdf)
- O.S. Loboda, A.M. Krivtsov, A.V. Porubov, D.V. Tsvetkov. Thermal processes in a one-dimensional crystal with regard for the second coordination sphere. 2019, ZAMM. 13 p. (pdf).
- V.A. Kuzkin. Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell. Continuum Mechanics and Thermodynamics. 2019, 26 p. (pdf).
- A.A. Sokolov, A.M. Krivtsov, W.H. Müller, E.N. Vilchevskaya. Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation. Physical Review E. 2019, Vol. 99, 042107 (abstract, pdf).
- A.M. Krivtsov. The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal. Dynamical Processes in Generalized Continua and Structures. 2019, Vol. 103, pp. 345–358 (abstract, pdf).
- 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. Continuum Mechanics and Thermodynamics. 2019, Vol. 31, 21 p. (abstract, pdf).
- A.S. Murachev, A.M. Krivtsov, D.V. Tsvetkov. Thermal echo in a one-dimensional harmonic crystal. Journal of Physics: Condensed Matter. 2019, Vol. 31, Num. 9. (abstract, pdf).
- V.A. Kuzkin. Thermal equilibration in infinite harmonic crytals. Continuum Mechanics and Thermodynamics. 2019, 23 p. (abstract, pdf).
- E.A. Podolskaya, A.M. Krivtsov, D.V. Tsvetkov. Anomalous heat transfer in one-dimensional diatomic harmonic crystal. Materials Physics and Mechanics. 2018, 40, pp. 172–180 (pdf).
- 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. Continuum Mechanics and Thermodynamics. 2018, Vol. 31, pp. 255–272 (abstract, pdf)
- A.M. Krivtsov, A.A. Sokolov, W.H. Müller, A.B. Freidin. One-Dimensional Heat Conduction and Entropy Production. Advances in Mechanics of Microstructured Media and Structures. 2018, Vol. 87, pp. 197–214 (pdf).
- A.M. Krivtsov, V.A. Kuzkin. Discrete and continuum thermomechanics. Encyclopedia of Continuum Mechanics. 2018, 16 p. (pdf)
- V.A. Tsaplin, V.A. Kuzkin. Temperature oscillations in harmonic triangular lattice with random initial velocities. Letters on Materials. 2018, 8(1), pp. 16–20 (pdf).
- V.A. Kuzkin, A.M. Krivtsov. Fast and slow thermal processes in harmonic scalar lattices. 2017, Journal of Physics: Condensed Matter. 2017, Vol. 29, No. 50, 14 p. (abstract, pdf).
- A.M. Krivtsov. On heat transfer in a thermally perturbed harmonic chain. ArXiv:1709.07924. 2017, 2 p. (abstract, pdf).
- A.A. Sokolov, A.M. Krivtsov, 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 (pdf).
- V.A. Kuzkin, A.M. Krivtsov. An analytical description of transient thermal processes in harmonic crystals. Physics of the Solid State. 2017, Vol. 59, No. 5, pp. 1051–1062, pdf.
- V.A. Kuzkin, A.M. Krivtsov High-frequency thermal processes in harmonic crystals. Doklady Physics. 2017, №5, pp. 529–533 (abstract, pdf).
- M.B. Babenkov, A.M. Krivtsov, D.V. Tsvetkov. Unsteady heat conduction processes in a harmonic crystal with a substrate potential. Proc. of XXIV ICTAM, 21-26 August 2016, Montreal, Canada, pp. 2440–2441 (pdf).
- M.B. Babenkov, A.M. Krivtsov, D.V. Tsvetkov. Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate. Phys. Mesomech.. 2016, 19, No. 3, pp. 282–290 (pdf).
- A.M. Krivtsov. On unsteady heat conduction in a harmonic crystal. 2015, ArXiv:1509.02506, 5 p. (abstract, pdf, simulation).
- A.M. Krivtsov. Heat transfer in infinite harmonic one dimensional crystals. Doklady Physics. 2015, Vol. 60, No. 9, pp. 407–411 (pdf).
- A.M. Krivtsov. Energy Oscillations in a One-Dimensional Crystal. Doklady Physics. 2014, Vol. 59, No. 9, pp. 427–430 (pdf).
Additional publications
- A.A. Le-Zakharov, A.M. Krivtsov, A.V. Porubov. Relation between defects and crystalline thermal conduction. 2019, Continuum Mechanics and Thermodynamics, ISSN 0935-1175, Volume 31, Number 6, pp. 1873–1881 (download pdf).
- A.A. Le-Zakharov, A.M. Krivtsov. Molecular dynamics investigation of heat conduction in crystals with defects. Doklady Physics, 2008, № 5, pp. 261–264. (pdf).
Preprints
- A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal.
- S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional harmonic crystal lying in a viscous environment.
- A.A. Sokolov, A.M. Krivtsov, W.H. Müller. Energy transfer in discrete and continuous one-dimensional media.
Virtual laboratory
- Dynamics of 1D harmonic crystal
- Dynamics of 1D anharmonic crystal
- Oscillations of energies in 1D crystal
- Diffusive processses in 1D crystal
- Heat transport in 1D crystal (see also uniform and periodic temperature)
- Oscillations of energies in 1D crystal on elastic substrateDistribution function in 2D triangular lattice
- Fermi-Pasta-Ulam crystal (Fermi-Pasta-Ulam crystal (analytics))
- Heat tranport in triangular lattice
- Transition of mechanical energy to heat:
- Heat supply:
- Group velocity vs. phase velocity
- Soliton vs. harmonic wave
Conferences talks
- A.M. Krivtsov. June 22, 2020: Hooke’s chain. Keynote lecture. St. Petersburg, 48th International Summer School-Conference "Advanced Problems in Mechanics-2020 ONLINE".
- S.N. Gavrilov. June 22, 2020: Heat conduction in 1D harmonic crystal: discrete-to-continuum limit and slow-and-fast motions decoupling. St. Petersburg, 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, 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, 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, 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, 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, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- V.A. Kuzkin. June 25, 2019: Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- S.N. Gavrilov. June 25, 2019: Steady-state kinetic temperature distribution in a two-dimensional harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- A.S. Murachev. June 25, 2019: Transition to thermal equilibrium in a deformed crystal. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- A.A. Sokolov. June 25, 2019: Heat conduction in 1D harmonic crystal. Finite or infinite? The comparison of two approaches. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- A.S. Evseenkov. June 25, 2019: Ballistic and diffusion heat transfer in onedimensional harmonic crystal with defects. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019.
- A.M. Krivtsov. June 26, 2018: Ballistic heat conduction at nano- and microscale. Plenary lecture. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- V.A. Kuzkin. June 26, 2018: Transition to thermal equilibrium and nonequipartition of energy in harmonic crystals . St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- S.N. Gavrilov. June 26, 2018: Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- E.B. Starobinskii. June 26, 2018: Mechanical and thermal oscillations in crystals of different dimensions . St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- A.S. Murachev. June 26, 2018: Non-stationary thermodiffusion processes in a finite one-dimensional crystal. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- A.A. Sokolov. June 26, 2018: Entropy production for one-dimensional ballistic heat equation - sinusoidal initial perturbation. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018.
- A.M. Krivtsov. June 23, 2018: Unsteady thermal processes in harmonic crystals. Plenary lecture. St. Petersburg, 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, 26th INTERNATIONAL WORKSHOP ON COMPUTATIONAL MECHANICS OF MATERIALS.
- A.M. Krivtsov. June 25, 2016. On unsteady heat conduction in a harmonic crystal. Sheffield, UK, Non-Equilibrium Simulation Conference (NESC 2016).
- A.M. Krivtsov. June 27, 2016. Unsteady thermal processes in harmonic crystals. Plenary lecture. St. Petersburg, 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, International Summer School-Conference “Advanced Problems in Mechanics” 2015.