Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics

C. Boldrighini, A. Pellegrinotti, E. Presutti, Ya G. Sinai, M. R. Soloveichik

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We consider the dynamical system ( {Mathematical expression}, μ, Tt) where ( {Mathematical expression}, μ) is the Gibbs ensemble at some fixed temperature and density for a semi-infinite one-dimensional ideal gas of point particles. The first particle has mass M, all the other particles mass m<M. Tt is the time evolution which describes free motion of the particles except for elastic collisions with each other and with the wall at the origin. We prove that ( {Mathematical expression}, μ, Tt) is a K-flow.

Original languageEnglish (US)
Pages (from-to)363-382
Number of pages20
JournalCommunications In Mathematical Physics
Volume101
Issue number3
DOIs
StatePublished - Sep 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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