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

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

342 Scopus citations

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

Access to Document

10.1007/BF02046760

Cite this

@article{1cc8a78ac4004d9095cb7a00f7099428,

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",

month = jan,

doi = "10.1007/BF02046760",

language = "English (US)",

volume = "78",

pages = "479--497",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Statistical properties of lorentz gas with periodic configuration of scatterers

AU - Bunimovich, L. A.

AU - Sinai, Ya G.

PY - 1981/1

Y1 - 1981/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/11744373241

UR - https://www.scopus.com/pages/publications/11744373241#tab=citedBy

U2 - 10.1007/BF02046760

DO - 10.1007/BF02046760

M3 - Article

AN - SCOPUS:11744373241

SN - 0010-3616

VL - 78

SP - 479

EP - 497

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 4

ER -

Statistical properties of lorentz gas with periodic configuration of scatterers

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this