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

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

2004-09-10

arxiv.org/abs/physics/0409053v2

Physics

Computational Physics

Paper revised to improve clarity and references. No significant change in content

Scientific paper

In 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.

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