Trapping of a random walk by diffusing traps

نویسنده

  • Frédéric van Wijland
چکیده

We present a systematic analytical approach to the trapping of a random walk by a finite density ρ of diffusing traps in arbitrary dimension d. We confirm the phenomenologically predicted ed d/2 time decay of the survival probability, and compute the dimension dependent constant cd to leading order within an ε = 2− d expansion.

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تاریخ انتشار 2002