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)(-ct) (1+x2)-1 with x n/t, where the first exponent represents a well known long-time tail of the probability that a particle will not be trapped.
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