Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model

Details Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model

2005-03-10

arxiv.org/abs/math-ph/0503023v2

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.

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