Ergodic properties of an infinite one dimensional hard rod system

Michael Aizenman; Sheldon Goldstein; Joel L. Lebowitz

doi:10.1007/BF01705376

Ergodic properties of an infinite one dimensional hard rod system

Michael Aizenman
, Sheldon Goldstein
, Joel L. Lebowitz

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

It is shown that an infinite one dimensional system of hard rods for which the "effective" velocities of the pulses (free velocity plus a drift term due to collisions) are bounded away from some neighborhood of 0 is Bernoulli. This generalizes a result of Sinai who showed that some hard rod systems are K-systems.

Original language	English (US)
Pages (from-to)	289-301
Number of pages	13
Journal	Communications In Mathematical Physics
Volume	39
Issue number	4
DOIs	https://doi.org/10.1007/BF01705376
State	Published - Dec 1975
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01705376

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title = "Ergodic properties of an infinite one dimensional hard rod system",

abstract = "It is shown that an infinite one dimensional system of hard rods for which the {"}effective{"} velocities of the pulses (free velocity plus a drift term due to collisions) are bounded away from some neighborhood of 0 is Bernoulli. This generalizes a result of Sinai who showed that some hard rod systems are K-systems.",

author = "Michael Aizenman and Sheldon Goldstein and Lebowitz, \{Joel L.\}",

year = "1975",

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AU - Aizenman, Michael

AU - Goldstein, Sheldon

AU - Lebowitz, Joel L.

PY - 1975/12

Y1 - 1975/12

N2 - It is shown that an infinite one dimensional system of hard rods for which the "effective" velocities of the pulses (free velocity plus a drift term due to collisions) are bounded away from some neighborhood of 0 is Bernoulli. This generalizes a result of Sinai who showed that some hard rod systems are K-systems.

AB - It is shown that an infinite one dimensional system of hard rods for which the "effective" velocities of the pulses (free velocity plus a drift term due to collisions) are bounded away from some neighborhood of 0 is Bernoulli. This generalizes a result of Sinai who showed that some hard rod systems are K-systems.

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UR - https://www.scopus.com/pages/publications/0039421832#tab=citedBy

U2 - 10.1007/BF01705376

DO - 10.1007/BF01705376

M3 - Article

AN - SCOPUS:0039421832

SN - 0010-3616

VL - 39

SP - 289

EP - 301

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 4

ER -

Ergodic properties of an infinite one dimensional hard rod system

Abstract

All Science Journal Classification (ASJC) codes

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