Renormalized coordinate approach to the thermalization process
Autor(a) principal: | |
---|---|
Data de Publicação: | 2009 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.79.032105 http://hdl.handle.net/11449/225443 |
Resumo: | We consider a particle in the harmonic approximation coupled linearly to an environment modeled by an infinite set of harmonic oscillators. The system (particle environment) is considered in a cavity at thermal equilibrium. We employ the recently introduced notion of renormalized coordinates to investigate the time evolution of the particle occupation number. For comparison, we first present this study in bare coordinates. For a long elapsed time, in both approaches, the occupation number of the particle becomes independent of its initial value. The value of the occupation number of the particle is the physically expected one at the given temperature. So we have a Markovian process, describing the particle thermalization with the environment. With renormalized coordinates, no renormalization procedure is required, leading directly to a finite result. © 2009 The American Physical Society. |
id |
UNSP_ad863a56a546b85bfb818b7264f4f8a6 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/225443 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Renormalized coordinate approach to the thermalization processWe consider a particle in the harmonic approximation coupled linearly to an environment modeled by an infinite set of harmonic oscillators. The system (particle environment) is considered in a cavity at thermal equilibrium. We employ the recently introduced notion of renormalized coordinates to investigate the time evolution of the particle occupation number. For comparison, we first present this study in bare coordinates. For a long elapsed time, in both approaches, the occupation number of the particle becomes independent of its initial value. The value of the occupation number of the particle is the physically expected one at the given temperature. So we have a Markovian process, describing the particle thermalization with the environment. With renormalized coordinates, no renormalization procedure is required, leading directly to a finite result. © 2009 The American Physical Society.Instituto de Ciências Exatas Universidade Federal de Itajubá, 37500-903, Itajubá, MGCentro Brasileiro de Pesquisas Físicas MCT, 22290-180, Rio de Janeiro, RJInstituto de Física Universidade Federal da Bahia, 40.210-310, Salvador (BA)Instituto de Física Teorica Universidade Estadual Paulista, 01405-900, São Paulo (SP)Instituto de Física Universidade de Brasília, 70910-900, Brasília-DFInstituto de Física Teorica Universidade Estadual Paulista, 01405-900, São Paulo (SP)Universidade Federal de ItajubáMCTUniversidade Federal da Bahia (UFBA)Universidade Estadual Paulista (UNESP)Universidade de Brasília (UnB)Flores-Hidalgo, G.Malbouisson, A. P.C.Malbouisson, J. M.C.Milla, Y. W. [UNESP]Santana, A. E.2022-04-28T20:50:46Z2022-04-28T20:50:46Z2009-03-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.79.032105Physical Review A - Atomic, Molecular, and Optical Physics, v. 79, n. 3, 2009.1050-29471094-1622http://hdl.handle.net/11449/22544310.1103/PhysRevA.79.0321052-s2.0-63049134845Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:50:46Zoai:repositorio.unesp.br:11449/225443Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:41:32.183471Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Renormalized coordinate approach to the thermalization process |
title |
Renormalized coordinate approach to the thermalization process |
spellingShingle |
Renormalized coordinate approach to the thermalization process Flores-Hidalgo, G. |
title_short |
Renormalized coordinate approach to the thermalization process |
title_full |
Renormalized coordinate approach to the thermalization process |
title_fullStr |
Renormalized coordinate approach to the thermalization process |
title_full_unstemmed |
Renormalized coordinate approach to the thermalization process |
title_sort |
Renormalized coordinate approach to the thermalization process |
author |
Flores-Hidalgo, G. |
author_facet |
Flores-Hidalgo, G. Malbouisson, A. P.C. Malbouisson, J. M.C. Milla, Y. W. [UNESP] Santana, A. E. |
author_role |
author |
author2 |
Malbouisson, A. P.C. Malbouisson, J. M.C. Milla, Y. W. [UNESP] Santana, A. E. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Itajubá MCT Universidade Federal da Bahia (UFBA) Universidade Estadual Paulista (UNESP) Universidade de Brasília (UnB) |
dc.contributor.author.fl_str_mv |
Flores-Hidalgo, G. Malbouisson, A. P.C. Malbouisson, J. M.C. Milla, Y. W. [UNESP] Santana, A. E. |
description |
We consider a particle in the harmonic approximation coupled linearly to an environment modeled by an infinite set of harmonic oscillators. The system (particle environment) is considered in a cavity at thermal equilibrium. We employ the recently introduced notion of renormalized coordinates to investigate the time evolution of the particle occupation number. For comparison, we first present this study in bare coordinates. For a long elapsed time, in both approaches, the occupation number of the particle becomes independent of its initial value. The value of the occupation number of the particle is the physically expected one at the given temperature. So we have a Markovian process, describing the particle thermalization with the environment. With renormalized coordinates, no renormalization procedure is required, leading directly to a finite result. © 2009 The American Physical Society. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-03-03 2022-04-28T20:50:46Z 2022-04-28T20:50:46Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.79.032105 Physical Review A - Atomic, Molecular, and Optical Physics, v. 79, n. 3, 2009. 1050-2947 1094-1622 http://hdl.handle.net/11449/225443 10.1103/PhysRevA.79.032105 2-s2.0-63049134845 |
url |
http://dx.doi.org/10.1103/PhysRevA.79.032105 http://hdl.handle.net/11449/225443 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 79, n. 3, 2009. 1050-2947 1094-1622 10.1103/PhysRevA.79.032105 2-s2.0-63049134845 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129451057217536 |