One-dimensional classical massive particle in the ideal gas

Ya G. Sinai; M. R. Soloveichik

doi:10.1007/BF01210949

One-dimensional classical massive particle in the ideal gas

Ya G. Sinai, M. R. Soloveichik

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26 Scopus citations

Abstract

The motion of a one-dimensional massive particle under the action of collisions with points of the ideal gas is considered. It is shown that the normed displacement of the massive particle is represented asymptotically as the difference of random variables having limit Gauss distribution. Estimations of the diffusion coefficient not depending on the mass are found.

Original language	English (US)
Pages (from-to)	423-443
Number of pages	21
Journal	Communications In Mathematical Physics
Volume	104
Issue number	3
DOIs	https://doi.org/10.1007/BF01210949
State	Published - Sep 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01210949

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abstract = "The motion of a one-dimensional massive particle under the action of collisions with points of the ideal gas is considered. It is shown that the normed displacement of the massive particle is represented asymptotically as the difference of random variables having limit Gauss distribution. Estimations of the diffusion coefficient not depending on the mass are found.",

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One-dimensional classical massive particle in the ideal gas

Abstract

All Science Journal Classification (ASJC) codes

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