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Tr. Mat. Inst. Steklova, 2016, Volume 295, Pages 107–141 (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

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.


DOI: https://doi.org/10.1134/S0371968516040063

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 295, 95–128

Bibliographic databases:

Document Type: Article
Received: June 14, 2016

Citation: A. V. Dymov, “Nonequilibrium statistical mechanics of a solid immersed in a continuum”, Modern problems of mechanics, Collected papers, Tr. 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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\vol 295
\pages 107--141
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • http://mi.mathnet.ru/eng/tm/v295/p107

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Dymov, “Asymptotic behavior of a network of oscillators coupled to thermostats of finite energy”, Russ. J. Math. Phys., 25:2 (2018), 183–199  crossref  mathscinet  isi  scopus
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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