On the diffusion of a fast molecule

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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.

Original languageEnglish (US)
Pages (from-to)321-341
Number of pages21
JournalJournal of Statistical Physics
Volume43
Issue number1-2
DOIs
StatePublished - Apr 1 1986

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Markov approximation
  • Nonhomogeneous diffusion
  • Rayleigh piston
  • deterministic limit
  • fluctuations
  • velocity fluctuations

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