Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise
In a recent paper, [J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. E 48, 951 (1993)], we derived the equations for the mean first-passage time for systems driven by the coin-toss square wave, a particular type of dichotomous noisy signal, to reach either one of two boundaries. The coin-tos...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1995 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/18862 |
| Acceso en línea: | https://hdl.handle.net/2445/18862 |
| Access Level: | acceso abierto |
| Palabra clave: | Física estadística Soroll Processos estocàstics Statistical physics Thermodynamics Noise Stochastic processes |
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Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noisePorrà i Rovira, Josep MariaLindenberg, KatjaFísica estadísticaSorollProcessos estocàsticsStatistical physicsThermodynamicsNoiseStochastic processesIn a recent paper, [J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. E 48, 951 (1993)], we derived the equations for the mean first-passage time for systems driven by the coin-toss square wave, a particular type of dichotomous noisy signal, to reach either one of two boundaries. The coin-toss square wave, which we here call periodic-persistent dichotomous noise, is a random signal that can only change its value at specified time points, where it changes its value with probability q or retains its previous value with probability p=1-q. These time points occur periodically at time intervals t. Here we consider the stationary version of this signal, that is, equilibrium periodic-persistent noise. We show that the mean first-passage time for systems driven by this stationary noise does not show either the discontinuities or the oscillations found in the case of nonstationary noise. We also discuss the existence of discontinuities in the mean first-passage time for random one-dimensional stochastic maps.The American Physical Society201120111995info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion9 p.application/pdfhttps://hdl.handle.net/2445/18862Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.52.409Physical Review E, 1995, vol. 52, núm. 1, p. 409-417http://dx.doi.org/10.1103/PhysRevE.52.409(c) American Physical Society, 1995info:eu-repo/semantics/openAccessoai:recercat.cat:2445/188622026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| title |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| spellingShingle |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise Porrà i Rovira, Josep Maria Física estadística Soroll Processos estocàstics Statistical physics Thermodynamics Noise Stochastic processes |
| title_short |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| title_full |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| title_fullStr |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| title_full_unstemmed |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| title_sort |
Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise |
| dc.creator.none.fl_str_mv |
Porrà i Rovira, Josep Maria Lindenberg, Katja |
| author |
Porrà i Rovira, Josep Maria |
| author_facet |
Porrà i Rovira, Josep Maria Lindenberg, Katja |
| author_role |
author |
| author2 |
Lindenberg, Katja |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Física estadística Soroll Processos estocàstics Statistical physics Thermodynamics Noise Stochastic processes |
| topic |
Física estadística Soroll Processos estocàstics Statistical physics Thermodynamics Noise Stochastic processes |
| description |
In a recent paper, [J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. E 48, 951 (1993)], we derived the equations for the mean first-passage time for systems driven by the coin-toss square wave, a particular type of dichotomous noisy signal, to reach either one of two boundaries. The coin-toss square wave, which we here call periodic-persistent dichotomous noise, is a random signal that can only change its value at specified time points, where it changes its value with probability q or retains its previous value with probability p=1-q. These time points occur periodically at time intervals t. Here we consider the stationary version of this signal, that is, equilibrium periodic-persistent noise. We show that the mean first-passage time for systems driven by this stationary noise does not show either the discontinuities or the oscillations found in the case of nonstationary noise. We also discuss the existence of discontinuities in the mean first-passage time for random one-dimensional stochastic maps. |
| publishDate |
1995 |
| dc.date.none.fl_str_mv |
1995 2011 2011 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/18862 |
| url |
https://hdl.handle.net/2445/18862 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.52.409 Physical Review E, 1995, vol. 52, núm. 1, p. 409-417 http://dx.doi.org/10.1103/PhysRevE.52.409 |
| dc.rights.none.fl_str_mv |
(c) American Physical Society, 1995 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
(c) American Physical Society, 1995 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
9 p. application/pdf |
| dc.publisher.none.fl_str_mv |
The American Physical Society |
| publisher.none.fl_str_mv |
The American Physical Society |
| dc.source.none.fl_str_mv |
Articles publicats en revistes (Física de la Matèria Condensada) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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1869406291464552448 |
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15.811543 |