Survival of a Diffusing Particle in a Transverse Flow Field
arXiv:cond-mat/0502459 · doi:10.1088/0305-4470/38/25/002
Abstract
We consider a particle diffusing in the y-direction, dy/dt=η(t) where η(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.
6 pages