Diffusion in the Lorentz gas

Carl P. Dettmann*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

35 Citations (Scopus)
231 Downloads (Pure)

Abstract

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers, has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises recent results, including periodic and aperiodic models, finite and infinite horizon, external fields, smooth or polygonal obstacles, and in the Boltzmann - Grad limit. New results are given for several moving particles and for obstacles with flat points. Finally, a variety of applications are presented.

Original languageEnglish
Pages (from-to)521-540
Number of pages20
JournalCommunications in Theoretical Physics
Volume62
Issue number4
DOIs
Publication statusPublished - 1 Oct 2014

Keywords

  • nlin.CD
  • cond-mat.stat-mech
  • math.DS

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