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Noise-Induced Transitions and Chemical Rate Laws

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New Trends in Kramers’ Reaction Rate Theory

Part of the book series: Understanding Chemical Reactivity ((UCRE,volume 11))

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Abstract

Transition rates in dissipative dynamical systems subject to external noise are investigated. The focus is on systems whose underlying deterministic dynamics supports bistable attracting states. Both simple one-variable systems governed by motion in a bistable potential, as well as more complicated systems in two and higher dimensions involving bistability between other types of attractors, are considered. If external noise is applied to such systems, transitions between the noisy analogs of the deterministic attractors may take place. The conditions under which such transitions may be described by first-order phenomenological rate laws are determined and the transition rates are computed. Transitions between two steady states and between a steady state and a limit cycle are considered in some detail.

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Authors
  1. Raymond Kapral
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Editor information

Editors and Affiliations

  1. Paul Scherrer Institute, Villingen, Switzerland

    Peter Talkner

  2. Department of Physics, Universität Augsburg, Augsburg, Germany

    Peter Hänggi

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© 1995 Springer Science+Business Media Dordrecht

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Kapral, R. (1995). Noise-Induced Transitions and Chemical Rate Laws. In: Talkner, P., Hänggi, P. (eds) New Trends in Kramers’ Reaction Rate Theory. Understanding Chemical Reactivity, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0465-4_6

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  • DOI: https://doi.org/10.1007/978-94-011-0465-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4208-6

  • Online ISBN: 978-94-011-0465-4

  • eBook Packages: Springer Book Archive

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