Winding angle distribution of 2D random walks with traps

Abstract

We study analytically the asymptotic behaviour of the average probability P(n,t) for the trajectory of a 2D Brownian particle wandering in the presence of randomly distributed traps to wind n times around a given point after a time t. It is shown that P(n,t)\sim\exp(-c\sqrt{t}) (1+x^2)^{-1} with x\sim n/\sqrt{t}, where the first exponent represents a well known long-time tail of the probability that a particle will not be trapped.

RevTeX, 6 pages, 1 postscript figure, to be published in J. Phys. A

Cited by in corpus (3)

• Distribution of the area enclosed by a 2D random walk in a disordered medium
• Winding of planar gaussian processes
• Winding angle distributions for two-dimensional collapsing polymers