Intermittent search strategies revisited: Effect of the jump length and biased motion
- Autores
- Rojo, F.; Revelli, Jorge Alberto; Budde, Carlos Ernesto; Wio, Horacio Sergio; Oshanin, G.; Lindenberg, Katja
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study the kinetics of a search of a single fixed target by a large number of searchers performing an intermittent biased random walk in a homogeneous medium. Our searchers carry out their walks in one of two states between which they switch randomly. One of these states (search phase) is a nearest-neighbor walk characterized by the probability of stepping in a given direction (i.e. the walks in this state are not necessarily isotropic). The other (relocation phase) is characterized by the length of the jumps (i.e. when in this state a walker does not perform a nearest-neighbor walk). Within such a framework, we propose a model to describe the searchers' dynamics, generalizing results of our previous work. We have obtained, and numerically evaluated, analytic results for the mean number of distinct sites visited up to a maximum evolution time. We have studied the dependence of this quantity on both the transition probability between the states and the parameters that characterize each state. In addition to our theoretical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical-numerical and simulations results. © 2010 IOP Publishing Ltd.
Fil: Rojo, F.. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Revelli, Jorge Alberto. Universidad de Cantabria; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Budde, Carlos Ernesto. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Universidad de Cantabria; España
Fil: Wio, Horacio Sergio. Universidad de Cantabria; España. Comision Nacional de Energía Atómica. Gerencia de Área Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Bariloche). División Física de Metales; Argentina
Fil: Oshanin, G.. Université Pierre et Marie Curie; Francia
Fil: Lindenberg, Katja. University of California; Estados Unidos - Materia
-
INTERMITTENT SEARCH
BIAS MOTION
JUMP LENGTH - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/186815
Ver los metadatos del registro completo
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Intermittent search strategies revisited: Effect of the jump length and biased motionRojo, F.Revelli, Jorge AlbertoBudde, Carlos ErnestoWio, Horacio SergioOshanin, G.Lindenberg, KatjaINTERMITTENT SEARCHBIAS MOTIONJUMP LENGTHhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the kinetics of a search of a single fixed target by a large number of searchers performing an intermittent biased random walk in a homogeneous medium. Our searchers carry out their walks in one of two states between which they switch randomly. One of these states (search phase) is a nearest-neighbor walk characterized by the probability of stepping in a given direction (i.e. the walks in this state are not necessarily isotropic). The other (relocation phase) is characterized by the length of the jumps (i.e. when in this state a walker does not perform a nearest-neighbor walk). Within such a framework, we propose a model to describe the searchers' dynamics, generalizing results of our previous work. We have obtained, and numerically evaluated, analytic results for the mean number of distinct sites visited up to a maximum evolution time. We have studied the dependence of this quantity on both the transition probability between the states and the parameters that characterize each state. In addition to our theoretical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical-numerical and simulations results. © 2010 IOP Publishing Ltd.Fil: Rojo, F.. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Revelli, Jorge Alberto. Universidad de Cantabria; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Budde, Carlos Ernesto. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Universidad de Cantabria; EspañaFil: Wio, Horacio Sergio. Universidad de Cantabria; España. Comision Nacional de Energía Atómica. Gerencia de Área Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Bariloche). División Física de Metales; ArgentinaFil: Oshanin, G.. Université Pierre et Marie Curie; FranciaFil: Lindenberg, Katja. University of California; Estados UnidosIOP Publishing2010-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/186815Rojo, F.; Revelli, Jorge Alberto; Budde, Carlos Ernesto; Wio, Horacio Sergio; Oshanin, G.; et al.; Intermittent search strategies revisited: Effect of the jump length and biased motion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 34; 8-20101751-81131751-8121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/43/34/345001/info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/34/345001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:47:05Zoai:ri.conicet.gov.ar:11336/186815instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:47:06.162CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
title |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
spellingShingle |
Intermittent search strategies revisited: Effect of the jump length and biased motion Rojo, F. INTERMITTENT SEARCH BIAS MOTION JUMP LENGTH |
title_short |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
title_full |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
title_fullStr |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
title_full_unstemmed |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
title_sort |
Intermittent search strategies revisited: Effect of the jump length and biased motion |
dc.creator.none.fl_str_mv |
Rojo, F. Revelli, Jorge Alberto Budde, Carlos Ernesto Wio, Horacio Sergio Oshanin, G. Lindenberg, Katja |
author |
Rojo, F. |
author_facet |
Rojo, F. Revelli, Jorge Alberto Budde, Carlos Ernesto Wio, Horacio Sergio Oshanin, G. Lindenberg, Katja |
author_role |
author |
author2 |
Revelli, Jorge Alberto Budde, Carlos Ernesto Wio, Horacio Sergio Oshanin, G. Lindenberg, Katja |
author2_role |
author author author author author |
dc.subject.none.fl_str_mv |
INTERMITTENT SEARCH BIAS MOTION JUMP LENGTH |
topic |
INTERMITTENT SEARCH BIAS MOTION JUMP LENGTH |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We study the kinetics of a search of a single fixed target by a large number of searchers performing an intermittent biased random walk in a homogeneous medium. Our searchers carry out their walks in one of two states between which they switch randomly. One of these states (search phase) is a nearest-neighbor walk characterized by the probability of stepping in a given direction (i.e. the walks in this state are not necessarily isotropic). The other (relocation phase) is characterized by the length of the jumps (i.e. when in this state a walker does not perform a nearest-neighbor walk). Within such a framework, we propose a model to describe the searchers' dynamics, generalizing results of our previous work. We have obtained, and numerically evaluated, analytic results for the mean number of distinct sites visited up to a maximum evolution time. We have studied the dependence of this quantity on both the transition probability between the states and the parameters that characterize each state. In addition to our theoretical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical-numerical and simulations results. © 2010 IOP Publishing Ltd. Fil: Rojo, F.. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina Fil: Revelli, Jorge Alberto. Universidad de Cantabria; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina Fil: Budde, Carlos Ernesto. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Universidad de Cantabria; España Fil: Wio, Horacio Sergio. Universidad de Cantabria; España. Comision Nacional de Energía Atómica. Gerencia de Área Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Bariloche). División Física de Metales; Argentina Fil: Oshanin, G.. Université Pierre et Marie Curie; Francia Fil: Lindenberg, Katja. University of California; Estados Unidos |
description |
We study the kinetics of a search of a single fixed target by a large number of searchers performing an intermittent biased random walk in a homogeneous medium. Our searchers carry out their walks in one of two states between which they switch randomly. One of these states (search phase) is a nearest-neighbor walk characterized by the probability of stepping in a given direction (i.e. the walks in this state are not necessarily isotropic). The other (relocation phase) is characterized by the length of the jumps (i.e. when in this state a walker does not perform a nearest-neighbor walk). Within such a framework, we propose a model to describe the searchers' dynamics, generalizing results of our previous work. We have obtained, and numerically evaluated, analytic results for the mean number of distinct sites visited up to a maximum evolution time. We have studied the dependence of this quantity on both the transition probability between the states and the parameters that characterize each state. In addition to our theoretical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical-numerical and simulations results. © 2010 IOP Publishing Ltd. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-08 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/186815 Rojo, F.; Revelli, Jorge Alberto; Budde, Carlos Ernesto; Wio, Horacio Sergio; Oshanin, G.; et al.; Intermittent search strategies revisited: Effect of the jump length and biased motion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 34; 8-2010 1751-8113 1751-8121 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/186815 |
identifier_str_mv |
Rojo, F.; Revelli, Jorge Alberto; Budde, Carlos Ernesto; Wio, Horacio Sergio; Oshanin, G.; et al.; Intermittent search strategies revisited: Effect of the jump length and biased motion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 34; 8-2010 1751-8113 1751-8121 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/43/34/345001/ info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/34/345001 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |