Critical behavior of ising models with random long-range (small-world) interactions

Detalhes bibliográficos
Autor(a) principal: Zhang,X.
Data de Publicação: 2006
Outros Autores: Novotny,M. A.
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=S0103-97332006000500016
Resumo: The critical scaling behavior of Ising models with long range interactions is studied. These long-range interactions, when imposed in addition to interactions on a regular lattice, lead to small world graphs. Large-scale Monte Carlo simulations, together with finite-size scaling, is used to obtain the critical behavior of a number of different models. These include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. These scaling results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials.
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spelling Critical behavior of ising models with random long-range (small-world) interactionsMonte CarloNanomaterialsSmall worldThe critical scaling behavior of Ising models with long range interactions is studied. These long-range interactions, when imposed in addition to interactions on a regular lattice, lead to small world graphs. Large-scale Monte Carlo simulations, together with finite-size scaling, is used to obtain the critical behavior of a number of different models. These include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. These scaling results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials.Sociedade Brasileira de Física2006-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500016Brazilian Journal of Physics v.36 n.3a 2006reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332006000500016info:eu-repo/semantics/openAccessZhang,X.Novotny,M. A.eng2006-10-16T00:00:00Zoai:scielo:S0103-97332006000500016Revistahttp://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:2006-10-16T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Critical behavior of ising models with random long-range (small-world) interactions
title Critical behavior of ising models with random long-range (small-world) interactions
spellingShingle Critical behavior of ising models with random long-range (small-world) interactions
Zhang,X.
Monte Carlo
Nanomaterials
Small world
title_short Critical behavior of ising models with random long-range (small-world) interactions
title_full Critical behavior of ising models with random long-range (small-world) interactions
title_fullStr Critical behavior of ising models with random long-range (small-world) interactions
title_full_unstemmed Critical behavior of ising models with random long-range (small-world) interactions
title_sort Critical behavior of ising models with random long-range (small-world) interactions
author Zhang,X.
author_facet Zhang,X.
Novotny,M. A.
author_role author
author2 Novotny,M. A.
author2_role author
dc.contributor.author.fl_str_mv Zhang,X.
Novotny,M. A.
dc.subject.por.fl_str_mv Monte Carlo
Nanomaterials
Small world
topic Monte Carlo
Nanomaterials
Small world
description The critical scaling behavior of Ising models with long range interactions is studied. These long-range interactions, when imposed in addition to interactions on a regular lattice, lead to small world graphs. Large-scale Monte Carlo simulations, together with finite-size scaling, is used to obtain the critical behavior of a number of different models. These include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. These scaling results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials.
publishDate 2006
dc.date.none.fl_str_mv 2006-09-01
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=S0103-97332006000500016
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500016
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332006000500016
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.36 n.3a 2006
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
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