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

Author

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  • Bekele, Mulugeta
  • Ananthakrishna, G
  • Kumar, N

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.

Suggested Citation

  • Bekele, Mulugeta & Ananthakrishna, G & Kumar, N, 1999. "Mean first passage time approach to the problem of optimal barrier subdivision for Kramer's escape rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 149-158.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:1:p:149-158
    DOI: 10.1016/S0378-4371(99)00138-7
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    Cited by:

    1. Li, Wei & Xu, Wei & Zhao, Junfeng & Jin, Yanfei, 2006. "First-passage problem for strong nonlinear stochastic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 414-421.

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