Nonholonomic constraints at finite temperature

Autores
Jagla, Eduardo Alberto; Bloch, Anthony M.; Rojo, Alberto G.
Año de publicación
2026
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the behavior of dynamical systems with nonholonomic constraints when coupled to a thermal bath, focusing on the paradigmatic case of the Chaplygin sleigh. A straightforward Langevin-type approach—obtained by naively adding stochastic and dissipative terms to the equations of motion—predicts a regime in which useful work can be extracted, violating the second law of thermodynamics. To resolve this paradox, we resort to a physically motivated implementation of the nonholonomic constraint as the limiting case of a viscous interaction. However, at finite temperature, fluctuation-dissipation relations imply that the viscous force has to be complemented with stochastic forces acting at the contact. We show that their incorporation restores compliance with the second law. Therefore, our results place fundamental limits on the physical realizability of idealized nonholonomic constraints.
Fil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Bloch, Anthony M.. University of Michigan; Estados Unidos
Fil: Rojo, Alberto G.. Oakland University; Estados Unidos
Materia
classical statistical mechanics
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:11336/290003
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Nonholonomic constraints at finite temperatureJagla, Eduardo AlbertoBloch, Anthony M.Rojo, Alberto G.classical statistical mechanicshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate the behavior of dynamical systems with nonholonomic constraints when coupled to a thermal bath, focusing on the paradigmatic case of the Chaplygin sleigh. A straightforward Langevin-type approach—obtained by naively adding stochastic and dissipative terms to the equations of motion—predicts a regime in which useful work can be extracted, violating the second law of thermodynamics. To resolve this paradox, we resort to a physically motivated implementation of the nonholonomic constraint as the limiting case of a viscous interaction. However, at finite temperature, fluctuation-dissipation relations imply that the viscous force has to be complemented with stochastic forces acting at the contact. We show that their incorporation restores compliance with the second law. Therefore, our results place fundamental limits on the physical realizability of idealized nonholonomic constraints.Fil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Bloch, Anthony M.. University of Michigan; Estados UnidosFil: Rojo, Alberto G.. Oakland University; Estados UnidosAmerican Physical Society2026-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/290003Jagla, Eduardo Alberto; Bloch, Anthony M.; Rojo, Alberto G.; Nonholonomic constraints at finite temperature; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 113; 2; 2-2026; 1-91539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/z12q-3l1xinfo:eu-repo/semantics/altIdentifier/doi/10.1103/z12q-3l1xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:58:41Zoai:ri.conicet.gov.ar:11336/290003instacron: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:34982026-08-25 14:58:41.98CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonholonomic constraints at finite temperature
title Nonholonomic constraints at finite temperature
spellingShingle Nonholonomic constraints at finite temperature
Jagla, Eduardo Alberto
classical statistical mechanics
title_short Nonholonomic constraints at finite temperature
title_full Nonholonomic constraints at finite temperature
title_fullStr Nonholonomic constraints at finite temperature
title_full_unstemmed Nonholonomic constraints at finite temperature
title_sort Nonholonomic constraints at finite temperature
dc.creator.none.fl_str_mv Jagla, Eduardo Alberto
Bloch, Anthony M.
Rojo, Alberto G.
author Jagla, Eduardo Alberto
author_facet Jagla, Eduardo Alberto
Bloch, Anthony M.
Rojo, Alberto G.
author_role author
author2 Bloch, Anthony M.
Rojo, Alberto G.
author2_role author
author
dc.subject.none.fl_str_mv classical statistical mechanics
topic classical statistical mechanics
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 the behavior of dynamical systems with nonholonomic constraints when coupled to a thermal bath, focusing on the paradigmatic case of the Chaplygin sleigh. A straightforward Langevin-type approach—obtained by naively adding stochastic and dissipative terms to the equations of motion—predicts a regime in which useful work can be extracted, violating the second law of thermodynamics. To resolve this paradox, we resort to a physically motivated implementation of the nonholonomic constraint as the limiting case of a viscous interaction. However, at finite temperature, fluctuation-dissipation relations imply that the viscous force has to be complemented with stochastic forces acting at the contact. We show that their incorporation restores compliance with the second law. Therefore, our results place fundamental limits on the physical realizability of idealized nonholonomic constraints.
Fil: Jagla, Eduardo Alberto. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Bloch, Anthony M.. University of Michigan; Estados Unidos
Fil: Rojo, Alberto G.. Oakland University; Estados Unidos
description We investigate the behavior of dynamical systems with nonholonomic constraints when coupled to a thermal bath, focusing on the paradigmatic case of the Chaplygin sleigh. A straightforward Langevin-type approach—obtained by naively adding stochastic and dissipative terms to the equations of motion—predicts a regime in which useful work can be extracted, violating the second law of thermodynamics. To resolve this paradox, we resort to a physically motivated implementation of the nonholonomic constraint as the limiting case of a viscous interaction. However, at finite temperature, fluctuation-dissipation relations imply that the viscous force has to be complemented with stochastic forces acting at the contact. We show that their incorporation restores compliance with the second law. Therefore, our results place fundamental limits on the physical realizability of idealized nonholonomic constraints.
publishDate 2026
dc.date.none.fl_str_mv 2026-02
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/11336/290003
Jagla, Eduardo Alberto; Bloch, Anthony M.; Rojo, Alberto G.; Nonholonomic constraints at finite temperature; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 113; 2; 2-2026; 1-9
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/290003
identifier_str_mv Jagla, Eduardo Alberto; Bloch, Anthony M.; Rojo, Alberto G.; Nonholonomic constraints at finite temperature; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 113; 2; 2-2026; 1-9
1539-3755
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://link.aps.org/doi/10.1103/z12q-3l1x
info:eu-repo/semantics/altIdentifier/doi/10.1103/z12q-3l1x
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
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.24418

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