Escape from a fluctuating double well

Antonio J. R. Madureira, Peter Hänggi, Vincent Buonomano, and Waldyr A. Rodrigues, Jr.
Phys. Rev. E 51, 3849 – Published 1 May 1995; Erratum Phys. Rev. E 52, 3301 (1995)
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Abstract

We study thermally driven escape from a double well over a fluctuating barrier height. The fluctuations of the bistable potential are governed by exponentially correlated Gaussian noise of weak-to-moderate-to-large noise correlation time τ. Exact results are obtained for the limiting cases of very fast (τ→0) and very slow (τ→∞) barrier fluctuations. For finite noise color τ, we present approximation schemes for the stochastic dynamics of nonlinear systems that are driven simultaneously by both a white noise source and a multiplicative colored noise (colored noise driven parametric stochastic flows). Our approximative results for arbitrary, but finite noise color τ become exact for escape in a piecewise parabolic bistable potential with a cusp at the transition state.

  • Received 20 December 1994

DOI:https://doi.org/10.1103/PhysRevE.51.3849

©1995 American Physical Society

Erratum

Erratum: Escape from a fluctuating double well

Antonio J. R. Madureira, Peter Hänggi, Vincent Buonomano, and Waldyr A. Rodrigues, Jr.
Phys. Rev. E 52, 3301 (1995)

Authors & Affiliations

Antonio J. R. Madureira and Peter Hänggi

  • Department of Physics, University of Augsburg, Memminger Strasse 6, D-86135 Augsburg, Germany

Vincent Buonomano and Waldyr A. Rodrigues, Jr.

  • Departamento de Matematica Aplicada, Universitade Estadual de Campinas, Caixa Postal 6065, 13081-970 Campinas, Brazil

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Vol. 51, Iss. 5 — May 1995

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