Difference between revisions of "Project "Thermocrystal""
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== Publications == | == Publications == | ||
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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]]) | ||
| + | |||
| + | * 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]]) | ||
===2023=== | ===2023=== | ||
| − | * 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 | + | * 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]]) |
* 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]]) | * 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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* 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]]) | * 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]]) | ||
| − | * | + | * 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]]) |
| + | |||
| + | * 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]]) | ||
| − | * | + | * 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]]) |
| − | * | + | * 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]]) |
* 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]]) | * 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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* 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).'' | * 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).'' | ||
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| − | * | + | * 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]]). | ||
* 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]]). | * 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]]). | * 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]]). | ||
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| + | * 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=== | ===2016=== | ||
Latest revision as of 14:11, 22 November 2024
TM > Project "Thermocrystal"
The project is devoted to development of analytical models of nonequilibrium thermal processes in ultrapure crystals.
Contents
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]
- PRE 2023: J. A. Baimova, N.M. Bessonov, A.M. Krivtsov. Motion of localized disturbances in scalar harmonic lattices. 2023, Phys. Rev. E, 107, 065002 (abstract, download pdf)
- 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)
- 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: 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)
- 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 (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)
- JPCM1 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)
- 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]
- 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)
- 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)
- 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)
- 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 ).
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)
- PRE2 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)
2019[edit]
- 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)
- 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)
- 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)
- 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).
- 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).
- CMT 2019: V.A. Kuzkin. Thermal equilibration in infinite harmonic crytals. 2019, Continuum Mechanics and Thermodynamics,31, 1401–1423 (abstract, 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).
- 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).
- 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).
2018[edit]
- CMT 2018: 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, Continuum Mechanics and Thermodynamics, 31, 255–272 (abstract, pdf)
- AMM 2018: A.M. Krivtsov, A.A. Sokolov, W.H. Müller, A.B. Freidin. One-Dimensional Heat Conduction and Entropy Production. 2018, Advances in Mechanics of Microstructured Media and Structures, 87, 197–214 (abstract, download pdf).
- ECM 2018: A.M. Krivtsov, V.A. Kuzkin. Discrete and continuum thermomechanics. 2018, Altenbach H., Öchsner A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. (abstract, download pdf)
- MPM 2018: E.A. Podolskaya, A.M. Krivtsov, D.V. Tsvetkov. Anomalous heat transfer in one-dimensional diatomic harmonic crystal. 2018, Materials Physics and Mechanics, 40, 172–180 (abstract, download pdf).
- LMA 2018: V.A. Tsaplin, V.A. Kuzkin. Temperature oscillations in harmonic triangular lattice with random initial velocities. 2018, Letters on Materials, 8(1), 16–20 (abstract, download pdf).
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).
- JPCM 2017: V.A. Kuzkin, A.M. Krivtsov. Fast and slow thermal processes in harmonic scalar lattices. 2017, Journal of Physics: Condensed Matter, 29 (50) (abstract, pdf).
- PSS 2017: 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, (abstract, pdf).
- DAN 2017: V.A. Kuzkin, A. M. Krivtsov High-frequency thermal processes in harmonic crystals.2017, Doklady Physics, 5, 529–533 (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]
- 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 XXIV ICTAM, 21-26 August 2016, Montreal, Canada, pp. 2440–2441 (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,Phys. Mesomech., 19(3), 282–290 (download pdf).
2015[edit]
- АRХ 2015: A.M. Krivtsov. On unsteady heat conduction in a harmonic crystal. 2015, ArXiv:1509.02506, 5 p. (abstract, download pdf, simulation).
- 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]
- DAN 2014: A.M. Krivtsov. Energy Oscillations in a One-Dimensional Crystal. Doklady Physics. 2014, Vol. 59, No. 9, pp. 427–430 (download pdf).
Additional publications[edit]
- 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[edit]
- 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[edit]
- 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[edit]
- 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.
