From classical dynamics to continuous time random walks
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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 wordsClassical dynamics continuous time random walks
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- 1.T. Yamamoto,J. Chem. Phys. 33:281 (1960).Google Scholar
- 2.D. Chandler,J. Chem. Phys. 68:2959 (1978).Google Scholar
- 3.R. F. Grote and J. T. Hynes,J. Chem. Phys. 73:2715 (1980).Google Scholar
- 4.N. De Leon and B. J. Berne,J. Chem. Phys. 75:3495 (1981).Google Scholar
- 5.V. M. Kenkre, E. W. Montroll, and M. F. Shlesinger,J. Stat. Phys. 9:45 (1973).Google Scholar
- 6.E. W. Montroll and B. J. West, Chapter 2 inStudies in Statistical Mechanics, Volume VII, Fluctuation Phenomena, E. W. Montroll and J. L. Lebowitz, eds. (North-Holland, Amsterdam, 1979), pp. 61–176.Google Scholar
- 7.R. Zwanzig,J. Chem. Phys. 40:2527 (1964).Google Scholar
- 8.B. J. Berne, J. P. Boon, and S. A. Rice,J. Chem. Phys. 45:1086 (1966).Google Scholar
- 9.J. Machta and R. Zwanzig, to be published.Google Scholar