Trapping of a random walk by diffusing traps
arXiv:cond-mat/0205236 · doi:10.1088/0305-4470/35/26/303
Abstract
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.
16 pages, to appear in J. Phys. A