The Boltzmann-Grad limit of the periodic Lorentz gas

J Marklof, A Strombergsson

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

34 Citations (Scopus)

Abstract

We study the dynamics of a point particle in a periodic array of spherical scatterers and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.
Translated title of the contributionThe Botzmann-Grad limit of the periodic Lorentz gas
Original languageEnglish
Pages (from-to)225 - 298
Number of pages64
JournalAnnals of Mathematics
Volume174
Issue number1
DOIs
Publication statusPublished - Jan 2011

Bibliographical note

Publisher: Princeton University

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