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dc.contributor.author
Plastino, Ángel Ricardo
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dc.contributor.author
Wedemann, Roseli S.
dc.contributor.author
Tsallis, Constantino
dc.date.available
2022-08-23T13:24:16Z
dc.date.issued
2021-09
dc.identifier.citation
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
dc.identifier.uri
http://hdl.handle.net/11336/166303
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Multidisciplinary Digital Publishing Institute
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
DIRECTION-DEPENDENT DRAG
dc.subject
H-THEOREM
dc.subject
NON-LINEAR FOKKER–PLANCK EQUATION
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-08-19T14:45:37Z
dc.identifier.eissn
2073-8994
dc.journal.volume
13
dc.journal.number
9
dc.journal.pagination
1-13
dc.journal.pais
Suiza
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dc.journal.ciudad
Basilea
dc.description.fil
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
dc.description.fil
Fil: Wedemann, Roseli S.. Universidade do Estado de Rio do Janeiro; Brasil
dc.description.fil
Fil: Tsallis, Constantino. Centro Brasileiro de Pesquisas Físicas; Brasil. Santa Fe Institute; Estados Unidos. Complexity Science Hub Vienna; Austria
dc.journal.title
Symmetry
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/13/9/1621
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3390/sym13091621
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