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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/3/033006 |
| _version_ | 1827873744228450304 |
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| author | Stephan Eule Jakob J Metzger |
| author_facet | Stephan Eule Jakob J Metzger |
| author_sort | Stephan Eule |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:41:24Z |
| format | Article |
| id | doaj.art-5c0709b380d84c688a4e1b9183a06fb3 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:41:24Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5c0709b380d84c688a4e1b9183a06fb32023-08-08T14:28:11ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303300610.1088/1367-2630/18/3/033006Non-equilibrium steady states of stochastic processes with intermittent resettingStephan Eule0Jakob J Metzger1Max Planck Institute for Dynamics and Self-Organization , Am Faßberg 17, D-37077 Göttingen, GermanyMax Planck Institute for Dynamics and Self-Organization , Am Faßberg 17, D-37077 Göttingen, Germany; Institute for Nonlinear Dynamics, Department of Physics, University of Göttingen , GermanyStochastic 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.https://doi.org/10.1088/1367-2630/18/3/033006stochastic processesnon-equilibrium steady statesoptimal search05.40.Fb05.10.Gg52.65.Ff |
| spellingShingle | Stephan Eule Jakob J Metzger Non-equilibrium steady states of stochastic processes with intermittent resetting New Journal of Physics stochastic processes non-equilibrium steady states optimal search 05.40.Fb 05.10.Gg 52.65.Ff |
| title | Non-equilibrium steady states of stochastic processes with intermittent resetting |
| title_full | Non-equilibrium steady states of stochastic processes with intermittent resetting |
| title_fullStr | Non-equilibrium steady states of stochastic processes with intermittent resetting |
| title_full_unstemmed | Non-equilibrium steady states of stochastic processes with intermittent resetting |
| title_short | Non-equilibrium steady states of stochastic processes with intermittent resetting |
| title_sort | non equilibrium steady states of stochastic processes with intermittent resetting |
| topic | stochastic processes non-equilibrium steady states optimal search 05.40.Fb 05.10.Gg 52.65.Ff |
| url | https://doi.org/10.1088/1367-2630/18/3/033006 |
| work_keys_str_mv | AT stephaneule nonequilibriumsteadystatesofstochasticprocesseswithintermittentresetting AT jakobjmetzger nonequilibriumsteadystatesofstochasticprocesseswithintermittentresetting |