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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Allerton Press, Inc.
2009
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my.iium.irep.16402011-12-08T01:07:06Z http://irep.iium.edu.my/1640/ On phase separation points for one-dimensional models Ganikhodjaev, Nasir Rozikov, Utkir Abdulloevich QA Mathematics 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. Allerton Press, Inc. 2009 Article REM application/pdf en http://irep.iium.edu.my/1640/1/SibAM09%5B1%5D.pdf Ganikhodjaev, Nasir and Rozikov, Utkir Abdulloevich (2009) On phase separation points for one-dimensional models. Siberian Advances in Mathematics, 19 (2). pp. 75-84. ISSN 1055-1344 (P), 1934-8126 (O) http://www.springerlink.com/content/t17w380855606217/ 10.3103/S1055134409020011 |
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QA Mathematics Ganikhodjaev, Nasir Rozikov, Utkir Abdulloevich On phase separation points for one-dimensional models |
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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. |
| format |
Article |
| author |
Ganikhodjaev, Nasir Rozikov, Utkir Abdulloevich |
| author_facet |
Ganikhodjaev, Nasir Rozikov, Utkir Abdulloevich |
| author_sort |
Ganikhodjaev, Nasir |
| title |
On phase separation points for one-dimensional models |
| title_short |
On phase separation points for one-dimensional models |
| title_full |
On phase separation points for one-dimensional models |
| title_fullStr |
On phase separation points for one-dimensional models |
| title_full_unstemmed |
On phase separation points for one-dimensional models |
| title_sort |
on phase separation points for one-dimensional models |
| publisher |
Allerton Press, Inc. |
| publishDate |
2009 |
| url |
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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