Phase separation in the six-vertex model with a variety of boundary conditions

Detalhes bibliográficos
Autor(a) principal: Lyberg, I.
Data de Publicação: 2018
Outros Autores: Korepin, V., Ribeiro, G.A.P., Viti, Jacopo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30469
Resumo: We present numerical results for the six-vertex model with a variety of boundary conditions. Adapting an algorithm for domain wall boundary conditions, proposed in the work of Allison and Reshetikhin [Ann. Inst. Fourier 55(6), 1847–1869 (2005)], we examine some modifications of these boundary conditions. To be precise, we discuss partial domain wall boundary conditions, reflecting ends, and half turn boundary conditions (domain wall boundary conditions with half turn symmetry)
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spelling Lyberg, I.Korepin, V.Ribeiro, G.A.P.Viti, Jacopo2020-10-20T23:55:13Z2020-10-20T23:55:13Z2018-05-03LYBERG, I.; KOREPIN, V.; RIBEIRO, G. A. P.; VITI, Jacopo. Phase separation in the six-vertex model with a variety of boundary conditions. Journal Of Mathematical Physics, [S.L.], v. 59, n. 5, p. 053301-053301, maio 2018. Disponível em: https://aip.scitation.org/doi/10.1063/1.5018324. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1063/1.50183241089-7658https://repositorio.ufrn.br/handle/123456789/3046910.1063/1.5018324AIP PublishingPhase separationSix-vertex modelBoundary conditionsPhase separation in the six-vertex model with a variety of boundary conditionsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe present numerical results for the six-vertex model with a variety of boundary conditions. Adapting an algorithm for domain wall boundary conditions, proposed in the work of Allison and Reshetikhin [Ann. Inst. Fourier 55(6), 1847–1869 (2005)], we examine some modifications of these boundary conditions. To be precise, we discuss partial domain wall boundary conditions, reflecting ends, and half turn boundary conditions (domain wall boundary conditions with half turn symmetry)engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALPhaseSeparation_VITI_2018.pdfPhaseSeparation_VITI_2018.pdfapplication/pdf4958669https://repositorio.ufrn.br/bitstream/123456789/30469/1/PhaseSeparation_VITI_2018.pdfba4b01eca80aa534e75a751ea76981c9MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30469/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTPhaseSeparation_VITI_2018.pdf.txtPhaseSeparation_VITI_2018.pdf.txtExtracted texttext/plain52345https://repositorio.ufrn.br/bitstream/123456789/30469/3/PhaseSeparation_VITI_2018.pdf.txt1dc47d5c02c9e6b8b0a3537fa40e9d9aMD53THUMBNAILPhaseSeparation_VITI_2018.pdf.jpgPhaseSeparation_VITI_2018.pdf.jpgGenerated Thumbnailimage/jpeg1710https://repositorio.ufrn.br/bitstream/123456789/30469/4/PhaseSeparation_VITI_2018.pdf.jpg924ae5663fc4ee3e579dbeb66717c3d4MD54123456789/304692020-10-25 04:56:08.2oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-25T07:56:08Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Phase separation in the six-vertex model with a variety of boundary conditions
title Phase separation in the six-vertex model with a variety of boundary conditions
spellingShingle Phase separation in the six-vertex model with a variety of boundary conditions
Lyberg, I.
Phase separation
Six-vertex model
Boundary conditions
title_short Phase separation in the six-vertex model with a variety of boundary conditions
title_full Phase separation in the six-vertex model with a variety of boundary conditions
title_fullStr Phase separation in the six-vertex model with a variety of boundary conditions
title_full_unstemmed Phase separation in the six-vertex model with a variety of boundary conditions
title_sort Phase separation in the six-vertex model with a variety of boundary conditions
author Lyberg, I.
author_facet Lyberg, I.
Korepin, V.
Ribeiro, G.A.P.
Viti, Jacopo
author_role author
author2 Korepin, V.
Ribeiro, G.A.P.
Viti, Jacopo
author2_role author
author
author
dc.contributor.author.fl_str_mv Lyberg, I.
Korepin, V.
Ribeiro, G.A.P.
Viti, Jacopo
dc.subject.por.fl_str_mv Phase separation
Six-vertex model
Boundary conditions
topic Phase separation
Six-vertex model
Boundary conditions
description We present numerical results for the six-vertex model with a variety of boundary conditions. Adapting an algorithm for domain wall boundary conditions, proposed in the work of Allison and Reshetikhin [Ann. Inst. Fourier 55(6), 1847–1869 (2005)], we examine some modifications of these boundary conditions. To be precise, we discuss partial domain wall boundary conditions, reflecting ends, and half turn boundary conditions (domain wall boundary conditions with half turn symmetry)
publishDate 2018
dc.date.issued.fl_str_mv 2018-05-03
dc.date.accessioned.fl_str_mv 2020-10-20T23:55:13Z
dc.date.available.fl_str_mv 2020-10-20T23:55:13Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv LYBERG, I.; KOREPIN, V.; RIBEIRO, G. A. P.; VITI, Jacopo. Phase separation in the six-vertex model with a variety of boundary conditions. Journal Of Mathematical Physics, [S.L.], v. 59, n. 5, p. 053301-053301, maio 2018. Disponível em: https://aip.scitation.org/doi/10.1063/1.5018324. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1063/1.5018324
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30469
dc.identifier.issn.none.fl_str_mv 1089-7658
dc.identifier.doi.none.fl_str_mv 10.1063/1.5018324
identifier_str_mv LYBERG, I.; KOREPIN, V.; RIBEIRO, G. A. P.; VITI, Jacopo. Phase separation in the six-vertex model with a variety of boundary conditions. Journal Of Mathematical Physics, [S.L.], v. 59, n. 5, p. 053301-053301, maio 2018. Disponível em: https://aip.scitation.org/doi/10.1063/1.5018324. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1063/1.5018324
1089-7658
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dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv AIP Publishing
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