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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Official URL: http://www.springerlink.com/content/xn0v4jw52v2011...

Related URL: http://dx.doi.org/10.1007/BF01020653

## Abstract

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 T_{FP} to a distant site l is known to follow the Kramers escape time formula T _{FP}~λ^{1} 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 T_{FR}~ 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^{ 1}independent of N.

Item Type: | Article |
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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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