Physics – Mathematical Physics
Scientific paper
2005-03-10
Physics
Mathematical Physics
Final version with minor corrections. To appear in Journal of Statistical Physics
Scientific paper
10.1007/s10955-005-8020-z
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all those terms indeed behave proportionally to the surface size and prove the existence in the thermodynamic limit of the adjacency pressure.
Contucci Pierluigi
Morita Satoshi
Nishimori Hidetoshi
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