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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/186815
Acceder
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spelling 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 Técnicas2025-10-22T12:20:28Zoai: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:34982025-10-22 12:20:28.935CONICET 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
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str 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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score 12.982451

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