Nonlinear fokker-planck equation for an overdamped system with drag depending on direction

Autores
Plastino, Ángel Ricardo; Wedemann, Roseli S.; Tsallis, Constantino
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That is, particles moving to the right do not experience the same drag as those moving to the left. The dynamics of the system, effectively described by a non-linear, Fokker–Planck equation, exhibits peculiar features related to the way in which the drag force depends on velocity. The evolution equation satisfies an H-theorem involving the Sq nonadditive entropy, and admits particular, exact, time-dependent solutions closely related, but not identical, to the q-Gaussian densities. The departure from the canonical, q-Gaussian shape is related to the fact that in one spatial dimension, in contrast to what occurs in two or more spatial dimensions, the drag’s dependence on direction entails that its dependence on velocity is necessarily (and severely) non-linear. The results reported here provide further evidence of the deep connections between overdamped, many-body systems, non-linear Fokker–Planck equations, and the Sq-thermostatistics.
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
Fil: Wedemann, Roseli S.. Universidade do Estado de Rio do Janeiro; Brasil
Fil: Tsallis, Constantino. Centro Brasileiro de Pesquisas Físicas; Brasil. Santa Fe Institute; Estados Unidos. Complexity Science Hub Vienna; Austria
Materia
DIRECTION-DEPENDENT DRAG
H-THEOREM
NON-LINEAR FOKKER–PLANCK EQUATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/166303
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Nonlinear fokker-planck equation for an overdamped system with drag depending on directionPlastino, Ángel RicardoWedemann, Roseli S.Tsallis, ConstantinoDIRECTION-DEPENDENT DRAGH-THEOREMNON-LINEAR FOKKER–PLANCK EQUATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That is, particles moving to the right do not experience the same drag as those moving to the left. The dynamics of the system, effectively described by a non-linear, Fokker–Planck equation, exhibits peculiar features related to the way in which the drag force depends on velocity. The evolution equation satisfies an H-theorem involving the Sq nonadditive entropy, and admits particular, exact, time-dependent solutions closely related, but not identical, to the q-Gaussian densities. The departure from the canonical, q-Gaussian shape is related to the fact that in one spatial dimension, in contrast to what occurs in two or more spatial dimensions, the drag’s dependence on direction entails that its dependence on velocity is necessarily (and severely) non-linear. The results reported here provide further evidence of the deep connections between overdamped, many-body systems, non-linear Fokker–Planck equations, and the Sq-thermostatistics.Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); ArgentinaFil: Wedemann, Roseli S.. Universidade do Estado de Rio do Janeiro; BrasilFil: Tsallis, Constantino. Centro Brasileiro de Pesquisas Físicas; Brasil. Santa Fe Institute; Estados Unidos. Complexity Science Hub Vienna; AustriaMultidisciplinary Digital Publishing Institute2021-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/166303Plastino, Ángel Ricardo; Wedemann, Roseli S.; Tsallis, Constantino; Nonlinear fokker-planck equation for an overdamped system with drag depending on direction; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 9; 9-2021; 1-132073-8994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/13/9/1621info:eu-repo/semantics/altIdentifier/doi/10.3390/sym13091621info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:09Zoai:ri.conicet.gov.ar:11336/166303instacron: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 10:18:09.259CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
title Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
spellingShingle Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
Plastino, Ángel Ricardo
DIRECTION-DEPENDENT DRAG
H-THEOREM
NON-LINEAR FOKKER–PLANCK EQUATION
title_short Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
title_full Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
title_fullStr Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
title_full_unstemmed Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
title_sort Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
dc.creator.none.fl_str_mv Plastino, Ángel Ricardo
Wedemann, Roseli S.
Tsallis, Constantino
author Plastino, Ángel Ricardo
author_facet Plastino, Ángel Ricardo
Wedemann, Roseli S.
Tsallis, Constantino
author_role author
author2 Wedemann, Roseli S.
Tsallis, Constantino
author2_role author
author
dc.subject.none.fl_str_mv DIRECTION-DEPENDENT DRAG
H-THEOREM
NON-LINEAR FOKKER–PLANCK EQUATION
topic DIRECTION-DEPENDENT DRAG
H-THEOREM
NON-LINEAR FOKKER–PLANCK EQUATION
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 investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That is, particles moving to the right do not experience the same drag as those moving to the left. The dynamics of the system, effectively described by a non-linear, Fokker–Planck equation, exhibits peculiar features related to the way in which the drag force depends on velocity. The evolution equation satisfies an H-theorem involving the Sq nonadditive entropy, and admits particular, exact, time-dependent solutions closely related, but not identical, to the q-Gaussian densities. The departure from the canonical, q-Gaussian shape is related to the fact that in one spatial dimension, in contrast to what occurs in two or more spatial dimensions, the drag’s dependence on direction entails that its dependence on velocity is necessarily (and severely) non-linear. The results reported here provide further evidence of the deep connections between overdamped, many-body systems, non-linear Fokker–Planck equations, and the Sq-thermostatistics.
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
Fil: Wedemann, Roseli S.. Universidade do Estado de Rio do Janeiro; Brasil
Fil: Tsallis, Constantino. Centro Brasileiro de Pesquisas Físicas; Brasil. Santa Fe Institute; Estados Unidos. Complexity Science Hub Vienna; Austria
description We investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That is, particles moving to the right do not experience the same drag as those moving to the left. The dynamics of the system, effectively described by a non-linear, Fokker–Planck equation, exhibits peculiar features related to the way in which the drag force depends on velocity. The evolution equation satisfies an H-theorem involving the Sq nonadditive entropy, and admits particular, exact, time-dependent solutions closely related, but not identical, to the q-Gaussian densities. The departure from the canonical, q-Gaussian shape is related to the fact that in one spatial dimension, in contrast to what occurs in two or more spatial dimensions, the drag’s dependence on direction entails that its dependence on velocity is necessarily (and severely) non-linear. The results reported here provide further evidence of the deep connections between overdamped, many-body systems, non-linear Fokker–Planck equations, and the Sq-thermostatistics.
publishDate 2021
dc.date.none.fl_str_mv 2021-09
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/11336/166303
Plastino, Ángel Ricardo; Wedemann, Roseli S.; Tsallis, Constantino; Nonlinear fokker-planck equation for an overdamped system with drag depending on direction; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 9; 9-2021; 1-13
2073-8994
CONICET Digital
CONICET
url http://hdl.handle.net/11336/166303
identifier_str_mv Plastino, Ángel Ricardo; Wedemann, Roseli S.; Tsallis, Constantino; Nonlinear fokker-planck equation for an overdamped system with drag depending on direction; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 9; 9-2021; 1-13
2073-8994
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/13/9/1621
info:eu-repo/semantics/altIdentifier/doi/10.3390/sym13091621
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
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 13.070432

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