Randomly accelerated particle in a box: mean absorption time for partially absorbing and inelastic boundaries.
Consider a particle which is randomly accelerated by Gaussian white noise on the line segment 0<x<1 and is absorbed as soon as it reaches x=0 or x=1. The mean absorption time T(x,v), where x and v denote the initial position and velocity, was calculated exactly by Masoliver and Porrà in 1995. We consider a more general boundary condition. On arriving at either boundary, the particle is absorbed with probability 1-p and reflected with probability p. The reflections are inelastic, with coefficient of restitution, r. With exact analytical and numerical methods and simulations, we study the mean absorption time as a function of p and r.
Kotsev
Stanislav N
SN
Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA.
Burkhardt
Theodore W
TW