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Communications in Mathematical Physics

, Volume 104, Issue 3, pp 423–443 | Cite as

One-dimensional classical massive particle in the ideal gas

  • Ya. G. Sinai
  • M. R. Soloveichik
Article

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.

Keywords

Neural Network Statistical Physic Diffusion Coefficient Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Ya. G. Sinai
    • 1
  • M. R. Soloveichik
    • 1
  1. 1.L. D. Landau Institute of Theoretical PhysicsAcademy of Sciences of the USSRMoscowUSSR

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