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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2002

Trapping of a random walk by diffusing traps

Résumé

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.

Dates et versions

hal-00012899 , version 1 (28-10-2005)

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Frédéric van Wijland. Trapping of a random walk by diffusing traps. Journal of Physics A: Mathematical and Theoretical, 2002, 35 (26), pp.5391-5401. ⟨10.1088/0305-4470/35/26/303⟩. ⟨hal-00012899⟩
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