Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
Mathematical Physics
2009-11-11 v2 Disordered Systems and Neural Networks
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0503023,
title = {Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model},
author = {Pierluigi Contucci and Satoshi Morita and Hidetoshi Nishimori},
journal= {arXiv preprint arXiv:math-ph/0503023},
year = {2009}
}
Comments
Final version with minor corrections. To appear in Journal of Statistical Physics