Survival of a Diffusing Particle in a Transverse Flow Field
Statistical Mechanics
2009-11-11 v1
Abstract
We consider a particle diffusing in the y-direction, dy/dt=\eta(t) where \eta(t) is Gaussian white noise, and subject to a transverse flow field in the x-direction, dx/dt=f(y), where x \ge 0 and x=0 is an absorbing boundary. We discuss the time-dependence of the survival probability of the particle for a class of functions f(y) that are positive in some regions of space and negative in others.
Keywords
Cite
@article{arxiv.cond-mat/0502459,
title = {Survival of a Diffusing Particle in a Transverse Flow Field},
author = {Alan J. Bray and Panos Gonos},
journal= {arXiv preprint arXiv:cond-mat/0502459},
year = {2009}
}
Comments
6 pages