Escape times in interacting biased random walks

Barma, Mustansir ; Ramaswamy, Ramakrishna (1986) Escape times in interacting biased random walks Journal of Statistical Physics, 43 (4). pp. 1572-9613. ISSN 0022-4715

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The dynamics of N particles with hard core exclusion performing biased random walks is studied on a one-dimensional lattice with a reflecting wall. The bias is toward the wall and the particles are placed initially on the N sites of the lattice closest to the wall. For N=1 the leading behavior of the first passage time TFP to a distant site l is known to follow the Kramers escape time formula T FP1 where λ is the ratio of hopping rates toward and away from the wall. For N >1 Monte Carlo and analytical results are presented to show that for the particle closest to the wall, the Kramers formula generalizes to TFR~ λ IN. First passage times for the other particles are studied as well. A second question that is studied pertains to survival times T s in the presence of an absorbing barrier placed at site l. In contrast to the first passage time, it is found that T s follows the leading behavior λ 1independent of N.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Interacting Random Walks; Bias; Generalized Kramers Escape Problem; Survival Times
ID Code:1428
Deposited On:04 Oct 2010 11:18
Last Modified:05 Jul 2012 09:39

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