Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/104583 |
Resumo: | The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite-size effects they show. By exploiting at the best the capabilities of standard modern CPUs (especially the streaming single instruction, multiple data extensions), we have been able to simulate the four-dimensional Edwards-Anderson model with Gaussian couplings up to sizes L = 70 and for times long enough to accurately measure the asymptotic behavior. By quenching systems of different sizes to the critical temperature and to temperatures in the whole low temperature phase, we have been able to identify the regime where finite-size effects are negligible: ξ (t ) > ~L/7. Our estimates for the dynamical exponent (z ≈ 1/T ) and for the replicon exponent (∝ ≈ 1.0 and T independent), that controls the decay of the spatial correlation in the zero overlap sector, are consistent with the replica symmetry breaking theory, but the latter differs from the theoretically conjectured value. |
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Nicolao, LucasParisi, GiorgioRicci-Tersenghi, Federico2014-10-15T02:12:51Z20141539-3755http://hdl.handle.net/10183/104583000922705The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite-size effects they show. By exploiting at the best the capabilities of standard modern CPUs (especially the streaming single instruction, multiple data extensions), we have been able to simulate the four-dimensional Edwards-Anderson model with Gaussian couplings up to sizes L = 70 and for times long enough to accurately measure the asymptotic behavior. By quenching systems of different sizes to the critical temperature and to temperatures in the whole low temperature phase, we have been able to identify the regime where finite-size effects are negligible: ξ (t ) > ~L/7. Our estimates for the dynamical exponent (z ≈ 1/T ) and for the replicon exponent (∝ ≈ 1.0 and T independent), that controls the decay of the spatial correlation in the zero overlap sector, are consistent with the replica symmetry breaking theory, but the latter differs from the theoretically conjectured value.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 3 (Mar. 2014), 032127, 6 p.Método de Monte CarloVidros de spinSpatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glassesEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000922705.pdf.txt000922705.pdf.txtExtracted Texttext/plain28176http://www.lume.ufrgs.br/bitstream/10183/104583/2/000922705.pdf.txta6c999b65894539f380451093a7f21a7MD52ORIGINAL000922705.pdf000922705.pdfTexto completo (inglês)application/pdf334838http://www.lume.ufrgs.br/bitstream/10183/104583/1/000922705.pdf8b240f277fbc69989b53eeba73b68161MD51THUMBNAIL000922705.pdf.jpg000922705.pdf.jpgGenerated Thumbnailimage/jpeg2114http://www.lume.ufrgs.br/bitstream/10183/104583/3/000922705.pdf.jpg77f3c19942d156838dfad94faf1c1f79MD5310183/1045832018-10-10 08:11:55.787oai:www.lume.ufrgs.br:10183/104583Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-10T11:11:55Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
title |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
spellingShingle |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses Nicolao, Lucas Método de Monte Carlo Vidros de spin |
title_short |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
title_full |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
title_fullStr |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
title_full_unstemmed |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
title_sort |
Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses |
author |
Nicolao, Lucas |
author_facet |
Nicolao, Lucas Parisi, Giorgio Ricci-Tersenghi, Federico |
author_role |
author |
author2 |
Parisi, Giorgio Ricci-Tersenghi, Federico |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Nicolao, Lucas Parisi, Giorgio Ricci-Tersenghi, Federico |
dc.subject.por.fl_str_mv |
Método de Monte Carlo Vidros de spin |
topic |
Método de Monte Carlo Vidros de spin |
description |
The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite-size effects they show. By exploiting at the best the capabilities of standard modern CPUs (especially the streaming single instruction, multiple data extensions), we have been able to simulate the four-dimensional Edwards-Anderson model with Gaussian couplings up to sizes L = 70 and for times long enough to accurately measure the asymptotic behavior. By quenching systems of different sizes to the critical temperature and to temperatures in the whole low temperature phase, we have been able to identify the regime where finite-size effects are negligible: ξ (t ) > ~L/7. Our estimates for the dynamical exponent (z ≈ 1/T ) and for the replicon exponent (∝ ≈ 1.0 and T independent), that controls the decay of the spatial correlation in the zero overlap sector, are consistent with the replica symmetry breaking theory, but the latter differs from the theoretically conjectured value. |
publishDate |
2014 |
dc.date.accessioned.fl_str_mv |
2014-10-15T02:12:51Z |
dc.date.issued.fl_str_mv |
2014 |
dc.type.driver.fl_str_mv |
Estrangeiro 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://hdl.handle.net/10183/104583 |
dc.identifier.issn.pt_BR.fl_str_mv |
1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000922705 |
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1539-3755 000922705 |
url |
http://hdl.handle.net/10183/104583 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 3 (Mar. 2014), 032127, 6 p. |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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