The Stochastic Ising Model with the Mixed Boundary Conditions
We estimate the spectral gap of the two-dimensional stochastic Ising model for four classes of mixed boundary conditions. On a finite square, in the absence of an external field, two-sided estimates on the spectral gap for the first class of (weak positive) boundary conditions are given. Further, at...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/571950 |
| Summary: | We estimate the spectral gap of the two-dimensional stochastic Ising model for four classes of mixed boundary conditions. On a finite square, in the absence of an external field, two-sided estimates on the spectral gap for the first class of (weak positive) boundary conditions are given. Further, at inverse temperatures β>βc, we will show lower bounds of the spectral gap of the Ising model for the other three classes mixed boundary conditions. |
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| ISSN: | 1687-2762 1687-2770 |