[Author]
 Vysotsky V. V.

[Title]
 A limit theorem for the position of a particle in Lorentz model

[AMS Subj-class]
 60K37 Processes in random environments

[Abstract]
 Consider a particle moving through a random medium. The medium
 consists of immobile spherical obstacles of equal radii, randomly
 distributed in $\R^3$. The particle is accelerated by a constant
 external field; when colliding with an obstacle, the particle
 inelastically reflects. We study the asymptotics of $X(t)$, which 
 denotes the position of the particle at time $t$, as $t \to \infty$. 
 The result is a limit theorem for $X(t)$. Its proof is based on the 
 functional CLT for Markov chains.

[Keywords]
 Lorentz model, random medium, position of particle, FCLT for Markov chains,
 limit theorems

[Comments]
 LaTeX, Russian, 20 pp.
 To be published in "Zapiski nauchnih seminarov POMI"

[Contact e-mail]
 vysotsky@vv9034.spb.edu