Non-equilibrium steady states of stochastic processes with intermittent resetting

Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols. Here, we obtain the general solution for the distribution o...

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Bibliographic Details
Published inNew journal of physics Vol. 18; no. 3; pp. 33006 - 33012
Main Authors Eule, Stephan, Metzger, Jakob J
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 02.03.2016
Subjects
05.10.Gg
05.40.Fb
52.65.Ff
non-equilibrium steady states
optimal search
Physics
Steady state
Stochastic models
Stochastic processes
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Summary:Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols. Here, we obtain the general solution for the distribution of processes in which waiting times between reset events are drawn from an arbitrary distribution. This allows for the investigation of a broader class of much more realistic processes. As an example, our results are applied to the analysis of the efficiency of constrained random search processes.
Bibliography:NJP-104245.R1
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/3/033006