Lifetime of a target in the presence of N independent walkers

Félix Rojo, Pedro A. Pury and Carlos E. Budde

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 17, 3399-3408

Abstract: We study the survival probability of an immobile target in the presence of N independent diffusing walkers. We address the problem of the Mean Target Lifetime and its dependence on the number and initial distribution of the walkers when the trapping is perfect or imperfect. We consider the diffusion on lattices and in the continuous space and we address the bulk limit corresponding to a density of diffusing particles and only one isolated trap. Also, we use intermittent motion for the optimization of search strategies.

Keywords: Trapping by targets; Passage-time; Intermittent search (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:17:p:3399-3408

DOI: 10.1016/j.physa.2010.04.025

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