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

30 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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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.",

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AU - Goldstein, Sheldon

AU - Lebowitz, Joel L.

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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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DO - 10.1007/BF01705376

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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Ergodic properties of an infinite one dimensional hard rod system

Abstract

All Science Journal Classification (ASJC) codes

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