Journal of Statistical Physics

, Volume 30, Issue 2, pp 255–262 | Cite as

From classical dynamics to continuous time random walks

  • Robert Zwanzig
Articles

Abstract

The migration of a classical dynamical system between regions of configuration space can be treated as a continuous time random walk between these regions. Derivation of a classical analog of the quantum mechanical generalized master equation provides expressions for the waiting time distribution in terms of transition memory functions. A short memory approximation to these memory functions is equivalent to the well-known transition state method. An example is discussed for which this approximation seems reasonable but is entirely wrong.

Key words

Classical dynamics continuous time random walks 

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Robert Zwanzig
    • 1
  1. 1.Institute for Physical Science and TechnologyUniversity of MarylandCollege Park

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