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

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

2006-12-10

arxiv.org/abs/math/0612253v1

Mathematics

Probability

19 pages, uses texdraw.sty

Scientific paper

Consider a particle moving through a random medium, which consists of spherical obstacles, randomly distributed in R^d. 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 tends to infinity. The result is a functional limit theorem for X(t).

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