Adiabatic piston as a dynamical system

A. I. Neishtadt, Y. G. Sinai

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

We consider systems of finitely many interacting particles in a cube with a separating wall having a big mass M (adiabatic piston). Assuming that the particles reflect elastically from the ball and the initial velocity of the piston is zero we prove that as M tends to infinity the dynamics of the piston converges to periodic oscillations.

Original languageEnglish (US)
Pages (from-to)815-820
Number of pages6
JournalJournal of Statistical Physics
Volume116
Issue number1-4
DOIs
StatePublished - Aug 1 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • adiabatic invariant
  • adiabatic piston
  • averaging method

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