Trapping of a random walk by diffusing traps

Details Trapping of a random walk by diffusing traps Trapping of a random walk by diffusing traps

2002-05-12

arxiv.org/abs/cond-mat/0205236v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/35/26/303

We present a systematic analytical approach to the trapping of a random walk
by a finite density rho of diffusing traps in arbitrary dimension d. We confirm
the phenomenologically predicted e^{-c_d rho t^{d/2}} time decay of the
survival probability, and compute the dimension dependent constant c_d to
leading order within an eps=2-d expansion.

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