On phase separation points for one-dimensional models
In the paper, the one-dimensional model with nearest-neighbor interactions In, n ∈ Z, and the s pin values ±1 is considered. It is known that, under some conditions on parameters of In, a phase transition occurs for this model. We define the notion of a phase separation point between two phases. We...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Allerton Press, Inc.
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1640/1/SibAM09%5B1%5D.pdf http://irep.iium.edu.my/1640/ http://www.springerlink.com/content/t17w380855606217/ |
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| Summary: | In the paper, the one-dimensional model with nearest-neighbor interactions In, n ∈ Z, and the s pin values ±1 is considered. It is known that, under some conditions on parameters of In, a phase transition occurs for this model. We define the notion of a phase separation point between two phases. We prove that the expectation value of this point is zero and its mean-square fluctuation is bounded by a constant C(β) which tends to 1/4 as β → ∞ where β = 1/T and T is the temperature. |
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