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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| Main Authors | , , |
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| Language | English |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Malbouisson, A P C Linhares, C A Cavalcanti, E |
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| BackLink | https://doi.org/10.48550/arXiv.1708.02672$$DView paper in arXiv https://doi.org/10.1142/S0217751X18500082$$DView published paper (Access to full text may be restricted) |
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| Snippet | Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for \(D=1+3\) (films),... Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for $D=1+3$ (films), $D=1+2$... |
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| SubjectTerms | Boundary conditions Cylinders Mathematical models Parameters Phase transitions Physics - High Energy Physics - Theory |
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| Title | Properties of size-dependent models having quasiperiodic boundary conditions |
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