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Communications in Mathematical Physics

, Volume 101, Issue 3, pp 363–382 | Cite as

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

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

Abstract

We consider the dynamical system (\(\mathfrak{X}\),μ,T t ) where (\(\mathfrak{X}\),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 massM, all the other particles massm<M. T t 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 (\(\mathfrak{X}\),μ,T t ) is aK-flow.

Keywords

Neural Network Dynamical System Statistical Physic Complex System Time Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • C. Boldrighini
    • 1
  • A. Pellegrinotti
    • 2
  • E. Presutti
    • 3
  • Ya. G. Sinai
    • 4
  • M. R. Soloveichik
    • 5
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Dipartimento di MatematicaUniversità di CamerinoCamerinoItaly
  3. 3.Dipartimento di MatematicaUniversità La SapienzaRomaItaly
  4. 4.Landau Institute for Theoretical PhysicsMoscowUSSR
  5. 5.Moscow State UniversityMoscowUSSR

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