Multiparticle trapping problem in the half-line

Santos B. Yuste and L. Acedo

Physica A: Statistical Mechanics and its Applications, 2001, vol. 297, issue 3, 321-336

Abstract: A variation of Rosenstock's trapping model in which N independent random walkers are all initially placed upon a site of a one-dimensional lattice in the presence of a one-sided random distribution (with probability c) of absorbing traps is investigated. The probability (survival probability) ΦN(t) that no random walker is trapped by time t for N⪢1 is calculated by using the extended Rosenstock approximation. This requires the evaluation of the moments of the number SN(t) of distinct sites visited in a given direction up to time t by N independent random walkers. The Rosenstock approximation improves when N increases, working well in the range Dtln2(1−c)⪡lnN, D being the diffusion constant. The moments of the time (lifetime) before any trapping event occurs are calculated asymptotically, too. The agreement with numerical results is excellent.

Keywords: Rosenstock trapping model; Rosenstock approximation; Multiparticle diffusion problems; Survival probability (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:297:y:2001:i:3:p:321-336

DOI: 10.1016/S0378-4371(01)00244-8

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