Survival of a diffusing particle in an expanding cage
Statistical Mechanics
2009-11-13 v1 Probability
Abstract
We consider a Brownian particle, with diffusion constant D, moving inside an expanding d-dimensional sphere whose surface is an absorbing boundary for the particle. The sphere has initial radius L_0 and expands at a constant rate c. We calculate the joint probability density, p(r,t|r_0), that the particle survives until time t, and is at a distance r from the centre of the sphere, given that it started at a distance r_0 from the centre.
Keywords
Cite
@article{arxiv.0705.0501,
title = {Survival of a diffusing particle in an expanding cage},
author = {Alan J Bray and Richard Smith},
journal= {arXiv preprint arXiv:0705.0501},
year = {2009}
}