Short-time dynamics of percolation observables
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.74.051123 http://hdl.handle.net/11449/224844 |
Resumo: | We consider the critical short-time evolution of magnetic and droplet-percolation order parameters for the Ising model in two and three dimensions, through Monte Carlo simulations with the (local) heat-bath method. We find qualitatively different dynamic behaviors for the two types of order parameters. More precisely, we find that the percolation order parameter does not have a power-law behavior as encountered for the magnetization, but develops a scale (related to the relaxation time to equilibrium) in the Monte Carlo time. We argue that this difference is due to the difficulty in forming large clusters at the early stages of the evolution. Our results show that, although the descriptions in terms of magnetic and percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times. In particular, this concerns the attempts to describe the dynamics of the deconfinement phase transition in QCD using cluster observables. © 2006 The American Physical Society. |
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Short-time dynamics of percolation observablesWe consider the critical short-time evolution of magnetic and droplet-percolation order parameters for the Ising model in two and three dimensions, through Monte Carlo simulations with the (local) heat-bath method. We find qualitatively different dynamic behaviors for the two types of order parameters. More precisely, we find that the percolation order parameter does not have a power-law behavior as encountered for the magnetization, but develops a scale (related to the relaxation time to equilibrium) in the Monte Carlo time. We argue that this difference is due to the difficulty in forming large clusters at the early stages of the evolution. Our results show that, although the descriptions in terms of magnetic and percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times. In particular, this concerns the attempts to describe the dynamics of the deconfinement phase transition in QCD using cluster observables. © 2006 The American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo, SPInstituto de Física de Sao Carlos Universidade de Sao Paulo, C.P. 369, 13560-970 Sao Carlos, SPInstituto de Física Teörica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo, SPInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo, SPInstituto de Física Teörica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo, SPUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Wanzeller, Wanderson G. [UNESP]Mendes, TerezaKrein, Gastao [UNESP]2022-04-28T20:13:19Z2022-04-28T20:13:19Z2006-12-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.74.051123Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 74, n. 5, 2006.1539-37551550-2376http://hdl.handle.net/11449/22484410.1103/PhysRevE.74.0511232-s2.0-33751546158Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:13:19Zoai:repositorio.unesp.br:11449/224844Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T20:13:19Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Short-time dynamics of percolation observables |
title |
Short-time dynamics of percolation observables |
spellingShingle |
Short-time dynamics of percolation observables Wanzeller, Wanderson G. [UNESP] |
title_short |
Short-time dynamics of percolation observables |
title_full |
Short-time dynamics of percolation observables |
title_fullStr |
Short-time dynamics of percolation observables |
title_full_unstemmed |
Short-time dynamics of percolation observables |
title_sort |
Short-time dynamics of percolation observables |
author |
Wanzeller, Wanderson G. [UNESP] |
author_facet |
Wanzeller, Wanderson G. [UNESP] Mendes, Tereza Krein, Gastao [UNESP] |
author_role |
author |
author2 |
Mendes, Tereza Krein, Gastao [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Wanzeller, Wanderson G. [UNESP] Mendes, Tereza Krein, Gastao [UNESP] |
description |
We consider the critical short-time evolution of magnetic and droplet-percolation order parameters for the Ising model in two and three dimensions, through Monte Carlo simulations with the (local) heat-bath method. We find qualitatively different dynamic behaviors for the two types of order parameters. More precisely, we find that the percolation order parameter does not have a power-law behavior as encountered for the magnetization, but develops a scale (related to the relaxation time to equilibrium) in the Monte Carlo time. We argue that this difference is due to the difficulty in forming large clusters at the early stages of the evolution. Our results show that, although the descriptions in terms of magnetic and percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times. In particular, this concerns the attempts to describe the dynamics of the deconfinement phase transition in QCD using cluster observables. © 2006 The American Physical Society. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-12-05 2022-04-28T20:13:19Z 2022-04-28T20:13:19Z |
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/PhysRevE.74.051123 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 74, n. 5, 2006. 1539-3755 1550-2376 http://hdl.handle.net/11449/224844 10.1103/PhysRevE.74.051123 2-s2.0-33751546158 |
url |
http://dx.doi.org/10.1103/PhysRevE.74.051123 http://hdl.handle.net/11449/224844 |
identifier_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 74, n. 5, 2006. 1539-3755 1550-2376 10.1103/PhysRevE.74.051123 2-s2.0-33751546158 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter 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_ |
1803650174408458240 |