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| − | [[ru: TC ]] | + | #REDIRECT[[Project "Thermocrystal"]] |
| − | [[Main_Page|Кафедра ТМ]] > '''Project "Thermocrystal"''' <HR>
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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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| − | * ZAM 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'''. [https://onlinelibrary.wiley.com/journal/15214001 ZAMM]. 2019, 13 p. (proofs [[media:Loboda_ZAMM_2019.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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| − | * 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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| − | *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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| − | * 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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| − | * 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_Krivtsov_Tsvetkov.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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| − | * 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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| − | * 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]])
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| − | * 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]]).
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| − | * 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. ([[Медиа:Kuzkin_2018_Encyclopedia.pdf|pdf]])
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| − | * 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 ([[Медиа:Kuzkin_2018_LettMat_TempOscil.pdf|pdf]]).
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| − | * 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], [[Медиа:Kuzkin_2017_JPhys_Condens_Matter.pdf |pdf]]).
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| − | * 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]).
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| − | * 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]]).
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| − | * 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]].
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| − | * 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]]).
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| − | * 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]]).
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| − | * 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 ([[Медиа: Krivtsov_PhysMech_2016.pdf|pdf]]).
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| − | * 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]]).
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| − | * 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 ([[Медиа: Krivtsov 2015 DAN eng.pdf.pdf|pdf]]).
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| − | * 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 ([[Медиа: Krivtsov_2014_DAN_eng_corrected.pdf|pdf]]).
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| − | == Additional publications ==
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| − | * [[A.A. Le-Zakharov]], [[A.M. Krivtsov]], [http://www.ipme.ru/ipme/ru/indexr.html A.V. Porubov]. '''Relation between defects and crystalline thermal conduction.''' [https://rd.springer.com/journal/161 Continuum Mechanics and Thermodynamics]. 2019, 12 p. (proof: [[media: LeZakharov_CMT.pdf|pdf]]).
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| − | * [[A.A. Le-Zakharov]], [[A.M. Krivtsov]]. ''' Molecular dynamics investigation of heat conduction in crystals with defects.''' [http://www.maik.rssi.ru/cgi-perl/journal.pl?name=danphys&page=main Doklady Physics], 2008, № 5, pp. 261–264. ([[media:Le_2008_DAN_eng.pdf |pdf]]).
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| − | == Preprints ==
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| − | * [[A.M. Krivtsov]], [[E.A. Podolskaya]], V.Yu. Shubina. '''Asymptotics of a thermal wave in a one-dimensional harmonic crystal.''' [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics]. 2019.
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| − | * [[A.M. Krivtsov]], [[A.S. Murachev]]. Transition to thermal equilibrium in a deformed crystal.
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| − | * S.N. Gavrilov, [[A.M. Krivtsov]]. Thermal equilibration in a one-dimensional harmonic crystal lying in a viscous environment.
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| − | * [[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]. Energy transfer in discrete and continuous one-dimensional media.
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| − | == [[Virtual laboratory]] ==
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| − | *[http://tm.spbstu.ru/Динамика_одномерного_кристалла Dynamics of 1D harmonic crystal]
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| − | *[http://tm.spbstu.ru/Динамика_одномерного_нелинейного_кристалла Dynamics of 1D anharmonic crystal]
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| − | *[http://tm.spbstu.ru/Колебания_энергий_в_одномерном_кристалле Oscillations of energies in 1D crystal]
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| − | *[http://tm.spbstu.ru/Диффузионные_процессы_в_одномерном_кристалле Diffusive processses in 1D crystal]
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| − | *[http://tm.spbstu.ru/Распространение_тепла_в_гармоническом_одномерном_кристалле Heat transport in 1D crystal] (see also [http://tm.spbstu.ru/Распространение_тепла_в_гармоническом_одномерном_кристалле:_регулярная_температура|uniform] and [http://tm.spbstu.ru/Распространение_тепла_в_гармоническом_одномерном_кристалле:_периодическая_температура periodic] temperature)
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| − | *[http://tm.spbstu.ru/Колебания_энергий_в_одномерном_кристалле_с_подложкой Oscillations of energies in 1D crystal on elastic substrate]]
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| − | *[http://tm.spbstu.ru/Статистические_распределения_в_двумерном_кристалле_с_треугольной_решеткой Distribution function in 2D triangular lattice]]
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| − | *[http://tm.spbstu.ru/ФПУ_термокристалл | Fermi-Pasta-Ulam crystal] ([http://tm.spbstu.ru/ФПУ_термокристалл:_аналитическое_решение Fermi-Pasta-Ulam crystal (analytics)])
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| − | *[http://tm.spbstu.ru/Моделирование_распространения_тепла_в_треугольной_кристаллической_решетке Heat tranport in triangular lattice]]
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| − | * Transition of mechanical energy to heat:
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| − | **[http://tm.spbstu.ru/Преобразования_энергии_в_нелинейном_кристалле:_осцилляции oscillations ]
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| − | **[http://tm.spbstu.ru/Преобразования_энергии_в_нелинейном_кристалле:_бегущая_волна traveling wave]
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| − | **[http://tm.spbstu.ru/Преобразования_энергии_в_нелинейном_кристалле:_Гаусс Gauss]
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| − | * Heat supply:
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| − | **[http://tm.spbstu.ru/Одномерное_броуновское_движение Brownian motion]
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| − | **[http://tm.spbstu.ru/Нагрев_одномерного_кристалла behavior of displacements and velocities)]
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| − | **[http://tm.spbstu.ru/Нагрев_одномерного_кристалла:_температура behavior of temperature]
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| − | *[http://tm.spbstu.ru/Сравнение_групповой_и_фазовой_скоростей Group velocity vs. phase velocity]
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| − | *[http://tm.spbstu.ru/Сравнение_солитона_с_волной Soliton vs. harmonic wave]
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| − | == Conferences talks ==
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| − | * [[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].
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| − | * [[V.A. Kuzkin]]. June 25, 2019: '''Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
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| − | * [http://www.pdmi.ras.ru/~serge/index.html 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, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
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| − | * [[A.S. Murachev]]. June 25, 2019: '''Transition to thermal equilibrium in a deformed crystal'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
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| − | * [[A.A. Sokolov]]. June 25, 2019: '''Heat conduction in 1D harmonic crystal. Finite or infinite? The comparison of two approaches'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
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| − | * A.S. Evseenkov. June 25, 2019: '''Ballistic and diffusion heat transfer in onedimensional harmonic crystal with defects'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2019].
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| − | * [[A.M. Krivtsov]]. 26 июня 2018: '''Ballistic heat conduction at nano- and microscale'''. ''Plenary lecture.'' St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * [[V.A. Kuzkin]]. 26 июня 2018: '''Transition to thermal equilibrium and nonequipartition of energy in harmonic crystals '''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * [http://www.pdmi.ras.ru/~serge/index.html С.Н. Гаврилов]. June 26, 2018: '''Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * E.B. Starobinskii. June 26, 2018: '''Mechanical and thermal oscillations in crystals of different dimensions '''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * [[A.S. Murachev]]. June 26, 2018: '''Non-stationary thermodiffusion processes in a finite one-dimensional crystal'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * [[A.A. Sokolov]]. June 26, 2018: '''Entropy production for one-dimensional ballistic heat equation - sinusoidal initial perturbation'''. St. Petersburg, [http://www.apm-conf.spb.ru International Summer School-Conference “Advanced Problems in Mechanics” 2018].
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| − | * [[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].
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| − | * [[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].
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| − | * [[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)].
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| − | * [[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].
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| − | * [[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].
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| − | == Links ==
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| − | * [[Main_Page | Department "Theoretical Mechanics"]]
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