A functional limit theorem for the position of a particle in a Lorentz type model
Abstract
Consider a particle moving through a random medium, which consists of spherical obstacles, randomly distributed in Rd. 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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