Statistical properties of lorentz gas with periodic configuration of scatterers

L. A. Bunimovich; Ya G. Sinai

doi:10.1007/BF02046760

Statistical properties of lorentz gas with periodic configuration of scatterers

L. A. Bunimovich, Ya G. Sinai

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Abstract

In our previous paper Markov partitions for some classes of dispersed billiards were constructed. Using these partitions we estimate the decay of velocity auto-correlation function and prove the central limit theorem of probability theory and Donsker's Invariance Principle for Lorentz Gas with periodic configuration of scatterers.

Original language	English (US)
Pages (from-to)	479-497
Number of pages	19
Journal	Communications In Mathematical Physics
Volume	78
Issue number	4
DOIs	https://doi.org/10.1007/BF02046760
State	Published - Jan 1981

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02046760

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title = "Statistical properties of lorentz gas with periodic configuration of scatterers",

abstract = "In our previous paper Markov partitions for some classes of dispersed billiards were constructed. Using these partitions we estimate the decay of velocity auto-correlation function and prove the central limit theorem of probability theory and Donsker's Invariance Principle for Lorentz Gas with periodic configuration of scatterers.",

author = "Bunimovich, {L. A.} and Sinai, {Ya G.}",

year = "1981",

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doi = "10.1007/BF02046760",

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pages = "479--497",

journal = "Communications In Mathematical Physics",

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AB - In our previous paper Markov partitions for some classes of dispersed billiards were constructed. Using these partitions we estimate the decay of velocity auto-correlation function and prove the central limit theorem of probability theory and Donsker's Invariance Principle for Lorentz Gas with periodic configuration of scatterers.

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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Statistical properties of lorentz gas with periodic configuration of scatterers

Abstract

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