Trapping of a random walk by diffusing traps

DOI10.1088/0305-4470/35/26/303zbMATH Open1043.82017arXivcond-mat/0205236OpenAlexW2150883167MaRDI QIDQ4465890

Frédéric Van Wijland

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0205236

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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