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Journal of Statistical Physics

, Volume 43, Issue 1–2, pp 321–341 | Cite as

On the diffusion of a fast molecule

  • S. Goldstein
  • J. Guetti
Articles

Abstract

We consider the motion of a heavy particle in interaction with an infinite ideal gas of slow atoms. We prove that the velocity of the heavy particle is, in a suitable limit, modeled by a deterministic process. We also treat the process of rescaled velocity fluctuations around a certain deterministic motion and show that this is appropriately modeled by a nonhomogeneous diffusion process.

Key words

Nonhomogeneous diffusion velocity fluctuations Rayleigh piston Markov approximation deterministic limit fluctuations 

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • S. Goldstein
    • 1
  • J. Guetti
    • 2
  1. 1.Department of MathematicsRutgers UniversityNew Brunswick
  2. 2.Department of MathematicsSeton Hall UniversitySouth Orange

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