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Title: | Mean first passage time approach to the problem of optimal barrier subdivision for Kramer's escape rate |
Authors: | Bekele, Mulugeta Ananthakrishna, G. Kumar, N. |
Keywords: | Kramer's escape rate Activated processes Reaction rates Blow torch |
Issue Date: | Aug-1999 |
Publisher: | Elsevier B.V. |
Citation: | Physica A: Statistical Mechanics and its Applications, 1999, Vol.270, p149-158 |
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. |
Description: | Restricted Access. |
URI: | http://hdl.handle.net/2289/3206 |
ISSN: | 0378-4371 |
Alternative Location: | http://dx.doi.org/10.1016/S0378-4371(99)00138-7 |
Copyright: | 1999 Elsevier B.V. |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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1999.PHYSICA-A.27.P149.pdf Restricted Access | Restricted Access | 124.77 kB | Adobe PDF | View/Open Request a copy |
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