Transport properties of the one-dimensional stochastic Lorentz model: I. Velocity autocorrelation function

Henk van Beijeren, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Point scatterers are placed on the real line such that the distances between scatterers are independent identically distributed random variables (stationary renewal process). For a fixed configuration of scatterers a particle performs the following random walk: The particle starts at the point x with velocity υ, |υ|=1. In between scatterers the particle moves freely. At a scatterer the particle is either transmitted or reflected, both with probability 1/2. For given initial conditions of the particle the velocity autocorrelation function is a random variable on the scatterer configurations. If this variable is averaged over the distribution of scatterers, it decays not faster than t-3/2.

Original languageEnglish
Pages (from-to)231-254
Number of pages24
JournalJournal of Statistical Physics
Volume31
Issue number2
DOIs
StatePublished - May 1983
Externally publishedYes

Keywords

  • Long time tails
  • stochastic Lorentz model
  • transfer matrix method

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