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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 295, Pages 107–141
DOI: https://doi.org/10.1134/S0371968516040063 (Mi tm3753) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonequilibrium statistical mechanics of a solid immersed in a continuum

A. V. Dymovab

a National Research University "Higher School of Economics", ul. Myasnitskaya 20, Moscow, 101000 Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968516040063
Abstract: In the introductory part of this survey, we briefly discuss the problems of nonequilibrium statistical physics that arise in the study of energy transport in solids as well as the results available at the moment. In the main part of the survey, we explain, compare, and generalize results obtained in our previous works. We study the dynamics and energy transport in Hamiltonian systems of particles where each particle is weakly perturbed by the interaction with its own stochastic Langevin thermostat. Such systems can be regarded as models of solids that interact weakly with a continuum.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-5991.2016.1
This work was supported by a grant of the President of the Russian Federation, project no. MD-5991.2016.1.
Received: June 14, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 295, Pages 95–128
DOI: https://doi.org/10.1134/S008154381608006X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Dymov, “Nonequilibrium statistical mechanics of a solid immersed in a continuum”, Modern problems of mechanics, Collected papers, Trudy Mat. Inst. Steklova, 295, MAIK Nauka/Interperiodica, Moscow, 2016, 107–141; Proc. Steklov Inst. Math., 295 (2016), 95–128
Citation in format AMSBIB
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\pages 107--141
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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