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Mean first passage time approach to the problem of optimal barrier subdivision for Kramer's escape rate

Bekele, Mulugeta and Ananthakrishna, G and Kumar, N (1999) Mean first passage time approach to the problem of optimal barrier subdivision for Kramer's escape rate. In: Physica A: Statistical Mechanics and its Applications, 270 (1-2). pp. 149-158.

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Official URL: http://dx.doi.org/10.1016/S0378-4371(99)00138-7

Abstract

We consider the effect of subdividing the potential barrier along the reaction coordinate on Kramer's escape rate for a model potential, Using the known supersymmetric potential approach, we show the existence of an optimal number of subdivisions that maximizes the rate, We cast the problem as a mean first passage time problem of a biased random walker and obtain equivalent results, We briefly summarize the results of our investigation on the increase in the escape rate by placing a blow-torch in the unstable part of one of the potential wells. (C) 1999 Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Kramer's escape rate;Activated processes;Reaction rates;Blow torch
Department/Centre: Division of Chemical Sciences > Materials Research Centre
Date Deposited: 30 Jun 2011 11:45
Last Modified: 13 Oct 2011 06:57
URI: http://eprints.iisc.ernet.in/id/eprint/38651

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