Self-similarity in the classification of finite-size scaling functions for toroidal boundary conditions

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dc.contributorVirginia Techen
dc.contributor.authorLiaw, T. M.en
dc.contributor.authorHuang, M. C.en
dc.contributor.authorLuo, Y. P.en
dc.contributor.authorLin, S. C.en
dc.contributor.authorChou, Y. L.en
dc.contributor.authorDeng, Y.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:33Zen
dc.date.available2014-01-17T13:41:33Zen
dc.date.issued2008-01en
dc.description.abstractThe conventional periodic boundary conditions in two dimensions are extended to general boundary conditions, prescribed by primitive vector pairs that may not coincide with the coordinate axes. This extension is shown to be unambiguously specified by the twisting scheme. Equivalent relations between different twist settings are constructed explicitly. The classification of finite-size scaling functions is discussed based on the equivalent relations. A self-similar pattern for distinct classes of finite-size scaling functions is shown to appear on the plane that parametrizes the toroidal geometry.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLiaw, Tsong-Ming ; Huang, Ming-Chang ; Luo, Yu-Pin ; et al., Jan 2008. "Self-similarity in the classification of finite-size scaling functions for toroidal boundary conditions," PHYSICAL REVIEW E 77(1) Part 1: 010101. DOI: 10.1103/PhysRevE.77.010101en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.77.010101en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24886en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.77.010101en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectising-modelen
dc.subjectklein bottleen
dc.subjectmobius stripen
dc.subjectpercolationen
dc.subjectsystemsen
dc.subjectuniversalityen
dc.subjectlatticesen
dc.subjectzerosen
dc.subjectPhysicsen
dc.titleSelf-similarity in the classification of finite-size scaling functions for toroidal boundary conditionsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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