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.
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J. Machta and R. Zwanzig, to be published.
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Research supported by the National Science Foundation under Grant No. CHE 77-16308.
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Zwanzig, R. From classical dynamics to continuous time random walks. J Stat Phys 30, 255–262 (1983). https://doi.org/10.1007/BF01012300
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DOI: https://doi.org/10.1007/BF01012300