Survival of a Diffusing Particle in a Transverse Flow Field

Details Survival of a Diffusing Particle in a Transverse Flow Field Survival of a Diffusing Particle in a Transverse Flow Field

2005-02-18

arxiv.org/abs/cond-mat/0502459v1

J Phys A 38, 5617 (2005)

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1088/0305-4470/38/25/002

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.

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