Generalised Gibbs Ensemble for spherically constrained harmonic models

Autores
Barbier, Damien; Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on an N dimensional sphere, and feels the effect of anisotropic harmonic potentials. We derive all relevant averaged static observables in the (thermodynamic) N→∞ limit. We compare them to their long-term dynamic averages finding excellent agreement in all phases of a non-trivial phase diagram determined by the characteristics of the initial conditions and the amount of energy injected or extracted in an instantaneous quench. We discuss the implications of our results for the proper Neumann model in which the spherical constraint is imposed strictly.
Fil: Barbier, Damien. École Polytechnique Fédérale de Lausanne; Suiza. Sorbonne University; Francia
Fil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Universite de la Mediterranee. Institut Universitaire de France; Francia
Fil: Lozano, Gustavo Sergio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Nessi, Emilio Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Gibbs ensemble
Neuman model
Out of equilibrium
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:11336/215061
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Generalised Gibbs Ensemble for spherically constrained harmonic modelsBarbier, DamienCugliandolo, Leticia F.Lozano, Gustavo SergioNessi, Emilio NicolásGibbs ensembleNeuman modelOut of equilibriumhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on an N dimensional sphere, and feels the effect of anisotropic harmonic potentials. We derive all relevant averaged static observables in the (thermodynamic) N→∞ limit. We compare them to their long-term dynamic averages finding excellent agreement in all phases of a non-trivial phase diagram determined by the characteristics of the initial conditions and the amount of energy injected or extracted in an instantaneous quench. We discuss the implications of our results for the proper Neumann model in which the spherical constraint is imposed strictly.Fil: Barbier, Damien. École Polytechnique Fédérale de Lausanne; Suiza. Sorbonne University; FranciaFil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Universite de la Mediterranee. Institut Universitaire de France; FranciaFil: Lozano, Gustavo Sergio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Nessi, Emilio Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaThe SciPost Foundation2022-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215061Barbier, Damien; Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Generalised Gibbs Ensemble for spherically constrained harmonic models; The SciPost Foundation; SciPost Physics; 13; 3; 10-2022; 1-752542-4653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://scipost.org/10.21468/SciPostPhys.13.3.048info:eu-repo/semantics/altIdentifier/doi/10.21468/SciPostPhys.13.3.048info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:32:46Zoai:ri.conicet.gov.ar:11336/215061instacron: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 11:32:47.285CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Generalised Gibbs Ensemble for spherically constrained harmonic models
title Generalised Gibbs Ensemble for spherically constrained harmonic models
spellingShingle Generalised Gibbs Ensemble for spherically constrained harmonic models
Barbier, Damien
Gibbs ensemble
Neuman model
Out of equilibrium
title_short Generalised Gibbs Ensemble for spherically constrained harmonic models
title_full Generalised Gibbs Ensemble for spherically constrained harmonic models
title_fullStr Generalised Gibbs Ensemble for spherically constrained harmonic models
title_full_unstemmed Generalised Gibbs Ensemble for spherically constrained harmonic models
title_sort Generalised Gibbs Ensemble for spherically constrained harmonic models
dc.creator.none.fl_str_mv Barbier, Damien
Cugliandolo, Leticia F.
Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author Barbier, Damien
author_facet Barbier, Damien
Cugliandolo, Leticia F.
Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author_role author
author2 Cugliandolo, Leticia F.
Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author2_role author
author
author
dc.subject.none.fl_str_mv Gibbs ensemble
Neuman model
Out of equilibrium
topic Gibbs ensemble
Neuman model
Out of equilibrium
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 build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on an N dimensional sphere, and feels the effect of anisotropic harmonic potentials. We derive all relevant averaged static observables in the (thermodynamic) N→∞ limit. We compare them to their long-term dynamic averages finding excellent agreement in all phases of a non-trivial phase diagram determined by the characteristics of the initial conditions and the amount of energy injected or extracted in an instantaneous quench. We discuss the implications of our results for the proper Neumann model in which the spherical constraint is imposed strictly.
Fil: Barbier, Damien. École Polytechnique Fédérale de Lausanne; Suiza. Sorbonne University; Francia
Fil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Universite de la Mediterranee. Institut Universitaire de France; Francia
Fil: Lozano, Gustavo Sergio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Nessi, Emilio Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on an N dimensional sphere, and feels the effect of anisotropic harmonic potentials. We derive all relevant averaged static observables in the (thermodynamic) N→∞ limit. We compare them to their long-term dynamic averages finding excellent agreement in all phases of a non-trivial phase diagram determined by the characteristics of the initial conditions and the amount of energy injected or extracted in an instantaneous quench. We discuss the implications of our results for the proper Neumann model in which the spherical constraint is imposed strictly.
publishDate 2022
dc.date.none.fl_str_mv 2022-10
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/11336/215061
Barbier, Damien; Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Generalised Gibbs Ensemble for spherically constrained harmonic models; The SciPost Foundation; SciPost Physics; 13; 3; 10-2022; 1-75
2542-4653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215061
identifier_str_mv Barbier, Damien; Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Generalised Gibbs Ensemble for spherically constrained harmonic models; The SciPost Foundation; SciPost Physics; 13; 3; 10-2022; 1-75
2542-4653
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://scipost.org/10.21468/SciPostPhys.13.3.048
info:eu-repo/semantics/altIdentifier/doi/10.21468/SciPostPhys.13.3.048
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 The SciPost Foundation
publisher.none.fl_str_mv The SciPost Foundation
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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