TY - JOUR
T1 - Surface terms on the nishimori line of the Gaussian Edwards-Anderson model
AU - Contucci, Pierluigi
AU - Morita, Satoshi
AU - Nishimori, Hidetoshi
N1 - Funding Information:
One of us (P.C.) thanks Sandro Graffi for introducing him to the surface pressure problems and the Tokyo Institute of Technology for the warm hospitality and the stimulating atmosphere during the visit in which this work was done. This work was supported by the Grant-in-Aid for Scientific Research on Priority Area “Statistical-Mechanical Approach to Probabilistic Information Processing” by the MEXT. P.C. was partially supported by University of Bologna, Funds for Selected Research Topics and Funds for Agreement with Foreign Universities.
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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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U2 - 10.1007/s10955-005-8020-z
DO - 10.1007/s10955-005-8020-z
M3 - Article
AN - SCOPUS:33645947035
VL - 122
SP - 303
EP - 312
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 2
ER -