Survival probabilities in three-dimensional random walks |
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Authors: | G. Zumofen A. Blumen |
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Affiliation: | Physical Chemistry Laboratory, ETH-Zentrum, CH-8092 Zurich, Switzerland;Lehrstuhl für Theorensche Chemie, Technische Universität München, D-8046 Garching, West Germany |
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Abstract: | We evaluate the survival probability for random walkers on lattices doped with traps. We consider nearest-neighborstep walks and walks mediated bi multipolar interactions, for which the probability of steps of length r is proportional to r?s. The decay law due to trapping is calculated for the diamond, simple cubic and body- and face-centered cubic lattices. We establish validity domains of approximate expressions. |
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