Optimal paths and the calculation of state selection probabilities

Alan J. McKane, Martin B. Tarlie

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The relative merits of the mathematical techniques for the calculation of the state-selection probabilities are discussed. The method based on the backward Fokker-Planck equation was a powerful one for systems with one degree of freedom, but in systems with more degrees of freedom it was much less useful. For systems with more than one degree of freedom, the path-integral method was found to be a very natural way of calculating state-selection probabilities. It was found that the state-selection probabilities were in excellent agreement with Monte Carlo simulations.
    Original languageEnglish
    Article number041106
    Pages (from-to)1-41106
    Number of pages41105
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume69
    Issue number4
    DOIs
    Publication statusPublished - Apr 2004

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