A functional limit theorem for the position of a particle in the Lorentz model

V. V. Vysotsky

Research output: Contribution to journalArticle

Abstract

We consider a particle moving through a medium under a constant external field. The medium consists of immobile spherical obstacles of equal radii randomly distributed in ℝ3. When the particle collides with an obstacle, it reflects inelastically, with restitution coefficient α , (0, 1). We study the asymptotics of X(t), the position of the particle at time t, as t → ∞. The main result is a functional limit theorem for X(t). Its proof is based on the functional CLT for Markov chains. Bibliography: 10 titles.

Original languageEnglish (US)
Pages (from-to)6520-6534
Number of pages15
JournalJournal of Mathematical Sciences
Volume139
Issue number3
DOIs
StatePublished - Dec 2006
Externally publishedYes

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Functional Limit Theorem
Bibliographies
Markov processes
External Field
Markov chain
Radius
Model
Coefficient

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A functional limit theorem for the position of a particle in the Lorentz model. / Vysotsky, V. V.

In: Journal of Mathematical Sciences, Vol. 139, No. 3, 12.2006, p. 6520-6534.

Research output: Contribution to journalArticle

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