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Trapping of a random walk by diffusing traps

F. van Wijland
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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.

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F. van Wijland. 2002-05-12. Trapping of a random walk by diffusing traps. https://doi.org/10.1088/0305-4470%2F35%2F26%2F303

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