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

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

doi:10.1007/BF01216095

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 journal › Article › peer-review

20 Scopus citations

Abstract

We consider the dynamical system ( {Mathematical expression}, μ, T_t) 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. 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 ( {Mathematical expression}, μ, T_t) is a K-flow.

Original language	English (US)
Pages (from-to)	363-382
Number of pages	20
Journal	Communications In Mathematical Physics
Volume	101
Issue number	3
DOIs	https://doi.org/10.1007/BF01216095
State	Published - Sep 1985

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01216095

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title = "Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics",

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 mt 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.",

author = "C. Boldrighini and A. Pellegrinotti and E. Presutti and Sinai, \{Ya G.\} and Soloveichik, \{M. R.\}",

year = "1985",

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T1 - Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics

AU - Boldrighini, C.

AU - Pellegrinotti, A.

AU - Presutti, E.

AU - Sinai, Ya G.

AU - Soloveichik, M. R.

PY - 1985/9

Y1 - 1985/9

N2 - 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 mt 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.

AB - 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 mt 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.

UR - https://www.scopus.com/pages/publications/0000241369

UR - https://www.scopus.com/pages/publications/0000241369#tab=citedBy

U2 - 10.1007/BF01216095

DO - 10.1007/BF01216095

M3 - Article

AN - SCOPUS:0000241369

SN - 0010-3616

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SP - 363

EP - 382

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

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

Abstract

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