Statistics of trajectories in two-state master equations

Details Statistics of trajectories in two-state master equations Statistics of trajectories in two-state master equations

2008-12-02

arxiv.org/abs/0812.0498v2

Phys. Rev. E 79(021121), 2009

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.79.021121

We derive a simple expression for the probability of trajectories of a master equation. The expression is particularly useful when the number of states is small and permits the calculation of observables that can be defined as functionals of whole trajectories. We illustrate the method with a two-state master equation, for which we calculate the distribution of the time spent in one state and the distribution of the number of transitions, each in a given time interval. These two expressions are obtained analytically in terms of modified Bessel functions.

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