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dc.contributor.author
Curilef, S.
dc.contributor.author
Plastino, Ángel Ricardo
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dc.contributor.author
Wedemann, R. S.
dc.date.available
2023-05-16T13:08:48Z
dc.date.issued
2022-11
dc.identifier.citation
Curilef, S.; Plastino, Ángel Ricardo; Wedemann, R. S.; Statistical dynamics of driven systems of confined interacting particles in the overdamped-motion regime; American Institute of Physics; Chaos; 32; 11; 11-2022; 1-14
dc.identifier.issn
1054-1500
dc.identifier.uri
http://hdl.handle.net/11336/197660
dc.description.abstract
Systems consisting of confined, interacting particles doing overdamped motion admit an effective description in terms of nonlinear Fokker-Planck equations. The behavior of these systems is closely related to the S q power-law entropies and can be interpreted in terms of the S q-based thermostatistics. The connection between overdamped systems and the S q measures provides valuable insights on diverse physical problems, such as the dynamics of interacting vortices in type-II superconductors. The S q-thermostatistical approach to the study of many-body systems described by nonlinear Fokker-Planck equations has been intensively explored in recent years, but most of these efforts were restricted to systems affected by time-independent external potentials. Here, we extend this treatment to systems evolving under time-dependent external forces. We establish a lower bound on the work done by these forces when they drive the system during a transformation. The bound is expressed in terms of a free energy based on the S q entropy and is satisfied even if the driving forces are not derivable from a potential function. It constitutes a generalization, for systems governed by nonlinear Fokker-Planck equations involving general time-dependent external forces, of the H-theorem satisfied by these systems when the external forces arise from a time-independent potential.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
NONLINEAR FOKKER-PLANCK EQUATION
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OVERDAMPED MOTION
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WORK BOUNDS
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TIME-DEPENDENT DRIVING FORCES
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
Statistical dynamics of driven systems of confined interacting particles in the overdamped-motion regime
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-05-16T11:24:16Z
dc.journal.volume
32
dc.journal.number
11
dc.journal.pagination
1-14
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Curilef, S.. Universidad Católica del Norte; Chile
dc.description.fil
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Wedemann, R. S.. Universidade do Estado de Rio do Janeiro; Brasil
dc.journal.title
Chaos
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/5.0104907
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