Properties of size-dependent models having quasiperiodic boundary conditions

Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for \(D=1+3\) (films), \(D=1+2\) (hollow cylinder) and \(D=1+1\) (ring). For all models a minimal length is found, below which no thermally-induced phase transition occurs....

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Bibliographic Details
Published inarXiv.org
Main Authors Cavalcanti, E, Linhares, C A, Malbouisson, A P C
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.12.2017
Subjects
Boundary conditions
Cylinders
Mathematical models
Parameters
Phase transitions
Physics - High Energy Physics - Theory
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Summary:Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for \(D=1+3\) (films), \(D=1+2\) (hollow cylinder) and \(D=1+1\) (ring). For all models a minimal length is found, below which no thermally-induced phase transition occurs. Using quasiperiodic boundary condition controlled by a contour parameter \(\theta\) (\(\theta=0\) is a periodic boundary condition and \(\theta=1\) is an antiperiodic condition) it results that the minimal length depends directly on the value of \(\theta\). It is also argued that this parameter can be associated to an Aharonov-Bohm phase.
ISSN:2331-8422
DOI:10.48550/arxiv.1708.02672