Steady-state relaxation and the first passage time distribution of the generalized master equation

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dc.creatorShalloway, David
dc.date2004-09-10
dc.date2004-11-03
dc.date.accessioned2026-07-07T05:52:40Z
dc.date.available2026-07-07T05:52:40Z
dc.descriptionIn principle, the generalized master equation can be used to efficiently compute the macroscopic first passage time (FPT) distribution of a complex stochastic system from short-term microscopic simulation data. However, computing its transition function matrix, Gamma(tau), from such data can be practically difficult or impossible. We solve this problem by showing that the FPT moment generating function is a simple function of the (easily computable) Laplace transform of the local FPT distribution matrix. Physical insight into this relationship is obtained by analyzing the process of steady-state relaxation.
dc.descriptionPaper revised to improve clarity and references. No significant change in content
dc.identifierhttps://arxiv.org/abs/physics/0409053
dc.identifierhttp://arxiv.org/abs/physics/0409053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86391
dc.subjectComputational Physics
dc.subjectChemical Physics
dc.titleSteady-state relaxation and the first passage time distribution of the generalized master equation
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