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Convergence to Equilibrium for Many Particle Systems

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Modern Problems of Stochastic Analysis and Statistics (MPSAS 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 208))

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Abstract

The goal of this paper is to give a short review of recent results of the authors concerning classical Hamiltonian many-particle systems. We hope that these results support the new possible formulation of Boltzmann’s ergodicity hypothesis which sounds as follows. For almost all potentials, the minimal contact with external world, through only one particle of N, is sufficient for ergodicity. But only if this contact has no memory. Also new results for quantum case are presented.

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Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Vorobyevy Gory 1, Moscow, 119991, Russia

    Alexander Lykov & Vadim Malyshev

Authors
  1. Alexander Lykov
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  2. Vadim Malyshev
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Corresponding author

Correspondence to Alexander Lykov .

Editor information

Editors and Affiliations

  1. Department of Statistics and Data Analysis, Higher School of Economics, Moscow, Russia

    Vladimir Panov

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Lykov, A., Malyshev, V. (2017). Convergence to Equilibrium for Many Particle Systems. In: Panov, V. (eds) Modern Problems of Stochastic Analysis and Statistics. MPSAS 2016. Springer Proceedings in Mathematics & Statistics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-65313-6_11

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