Mean exit times over fluctuating barriers

D. L. Stein; R. G. Palmer; J. L. Van Hemmen; Charles R. Doering

doi:10.1016/0375-9601(89)90414-3

Mean exit times over fluctuating barriers

D. L. Stein, R. G. Palmer, J. L. Van Hemmen, Charles R. Doering

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the problem of thermal activation over a fluctuating barrier. Three regimes are considered: the fluctuations slow compared to the mean crossing time τ_A of the average barrier height, fluctuations on roughly the same timescale as τ_A, and fluctuations extremely fast compared to τ_A. In the latter two cases, the mean barrier crossing time is reduced. The relevance of these results to a variety of problems in complex systems is discussed.

Original language	English (US)
Pages (from-to)	353-357
Number of pages	5
Journal	Physics Letters A
Volume	136
Issue number	7-8
DOIs	https://doi.org/10.1016/0375-9601(89)90414-3
State	Published - Apr 17 1989

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(89)90414-3

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title = "Mean exit times over fluctuating barriers",

abstract = "We investigate the problem of thermal activation over a fluctuating barrier. Three regimes are considered: the fluctuations slow compared to the mean crossing time τA of the average barrier height, fluctuations on roughly the same timescale as τA, and fluctuations extremely fast compared to τA. In the latter two cases, the mean barrier crossing time is reduced. The relevance of these results to a variety of problems in complex systems is discussed.",

author = "Stein, {D. L.} and Palmer, {R. G.} and {Van Hemmen}, {J. L.} and Doering, {Charles R.}",

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AU - Palmer, R. G.

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AU - Doering, Charles R.

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Y1 - 1989/4/17

N2 - We investigate the problem of thermal activation over a fluctuating barrier. Three regimes are considered: the fluctuations slow compared to the mean crossing time τA of the average barrier height, fluctuations on roughly the same timescale as τA, and fluctuations extremely fast compared to τA. In the latter two cases, the mean barrier crossing time is reduced. The relevance of these results to a variety of problems in complex systems is discussed.

AB - We investigate the problem of thermal activation over a fluctuating barrier. Three regimes are considered: the fluctuations slow compared to the mean crossing time τA of the average barrier height, fluctuations on roughly the same timescale as τA, and fluctuations extremely fast compared to τA. In the latter two cases, the mean barrier crossing time is reduced. The relevance of these results to a variety of problems in complex systems is discussed.

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Mean exit times over fluctuating barriers

Abstract

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