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Fluctuations and Sensitivity in Nonequilibrium Systems pp 95–103Cite as

Bistable Flows Driven by Colored Noise

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 1))

Abstract

The escape from a metastable state has long been a subject of theoretical attention. Such processes play an important role in physics, chemistry, engineering sciences and bio-physics in problems such as thermoionic emmission, transport in Josephson junctions and super-ionic conductors, modeling of chemical reaction rates and ligand migration in proteins. Bistable systems often resemble the model of a Brownian motion in a potential field with two or perhaps more adjacent wells and barriers in between which prevent the particles from jumping too often. This is the viewpoint put forward by KRAMERS /1/ whose original work in this field represents a milestone. In his approach, the relevant nonlinear motion is treated explicitly whereas the interaction with the residual degrees of freedom are represented by noise and frictional forces. Kramers treated the motion in. a one-dimensional potential field and described the heat bath interaction by white Gaussian noise which satisfies an Einstein relation. Generalizations of Kramers’ work to Brownian motion in a multi-dimensional potential field are due to BRINKMAN /2/, LANDAUER and SWANSON /3/ and LANGER /4/.

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Author information

Authors and Affiliations

  1. Department of Physics, Polytechnic Institute of New York, 333 Jay Street, Brooklyn, NY, 11201, USA

    P. Hanggi

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  1. P. Hanggi
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Editors and Affiliations

  1. Department of Physics, Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Werner Horsthemke

  2. Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Dilip K. Kondepudi PhD

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© 1984 Springer-Verlag Berlin Heidelberg

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Hanggi, P. (1984). Bistable Flows Driven by Colored Noise. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-46508-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46510-9

  • Online ISBN: 978-3-642-46508-6

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