Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100003 |
Resumo: | We use a two-dimensional Wang-Landau sampling algorithm to calculate the density of states for two discrete spin models and then extract their phase diagrams. The first system is an asymmetric Ising model on a triangular lattice with two- and three-body interactions in an external field. An accurate density of states allows us to locate the critical endpoint accurately in a two-dimensional parameter space. We observe a divergence of the spectator phase boundary and of the temperature derivative of the magnetization coexistence diameter at the critical endpoint in quantitative agreement with theoretical predictions. The second model is a Q-state Potts model in an external field H. We map the phase diagram of this model for Q > 8 and observe a first-order phase transition line that starts at the H = 0 phase transition point and ends at a critical point (Tc,Hc), which must be located in a two-dimensional parameter space. The critical field Hc(Q) is positive and increases with Q, in qualitative agreement with previous theoretical predictions. |
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Brazilian Journal of Physics |
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Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau samplingIsing and Potts modelsCritical endpointsTwo-dimensional Wang-LandauWe use a two-dimensional Wang-Landau sampling algorithm to calculate the density of states for two discrete spin models and then extract their phase diagrams. The first system is an asymmetric Ising model on a triangular lattice with two- and three-body interactions in an external field. An accurate density of states allows us to locate the critical endpoint accurately in a two-dimensional parameter space. We observe a divergence of the spectator phase boundary and of the temperature derivative of the magnetization coexistence diameter at the critical endpoint in quantitative agreement with theoretical predictions. The second model is a Q-state Potts model in an external field H. We map the phase diagram of this model for Q > 8 and observe a first-order phase transition line that starts at the H = 0 phase transition point and ends at a critical point (Tc,Hc), which must be located in a two-dimensional parameter space. The critical field Hc(Q) is positive and increases with Q, in qualitative agreement with previous theoretical predictions.Sociedade Brasileira de Física2008-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100003Brazilian Journal of Physics v.38 n.1 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000100003info:eu-repo/semantics/openAccessTsai,Shan-HoWang,FugaoLandau,D. P.eng2008-03-27T00:00:00Zoai:scielo:S0103-97332008000100003Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2008-03-27T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
title |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
spellingShingle |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling Tsai,Shan-Ho Ising and Potts models Critical endpoints Two-dimensional Wang-Landau |
title_short |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
title_full |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
title_fullStr |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
title_full_unstemmed |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
title_sort |
Uncovering the secrets of unusual phase diagrams: applications of two-dimensional Wang-Landau sampling |
author |
Tsai,Shan-Ho |
author_facet |
Tsai,Shan-Ho Wang,Fugao Landau,D. P. |
author_role |
author |
author2 |
Wang,Fugao Landau,D. P. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Tsai,Shan-Ho Wang,Fugao Landau,D. P. |
dc.subject.por.fl_str_mv |
Ising and Potts models Critical endpoints Two-dimensional Wang-Landau |
topic |
Ising and Potts models Critical endpoints Two-dimensional Wang-Landau |
description |
We use a two-dimensional Wang-Landau sampling algorithm to calculate the density of states for two discrete spin models and then extract their phase diagrams. The first system is an asymmetric Ising model on a triangular lattice with two- and three-body interactions in an external field. An accurate density of states allows us to locate the critical endpoint accurately in a two-dimensional parameter space. We observe a divergence of the spectator phase boundary and of the temperature derivative of the magnetization coexistence diameter at the critical endpoint in quantitative agreement with theoretical predictions. The second model is a Q-state Potts model in an external field H. We map the phase diagram of this model for Q > 8 and observe a first-order phase transition line that starts at the H = 0 phase transition point and ends at a critical point (Tc,Hc), which must be located in a two-dimensional parameter space. The critical field Hc(Q) is positive and increases with Q, in qualitative agreement with previous theoretical predictions. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100003 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332008000100003 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.38 n.1 2008 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734864414801920 |