Statistics of trajectories in two-state master equations

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dc.creatorJackson, Andrew D.
dc.creatorPigolotti, Simone
dc.date2008-12-02
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:44:51Z
dc.date.available2026-07-07T12:44:51Z
dc.descriptionWe 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.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0812.0498
dc.identifierhttp://arxiv.org/abs/0812.0498
dc.identifierPhys. Rev. E 79(021121), 2009
dc.identifierdoi:10.1103/PhysRevE.79.021121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220914
dc.subjectStatistical Mechanics
dc.titleStatistics of trajectories in two-state master equations
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