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

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.

arXiv commentFinal version with minor corrections. To appear in Journal of Statistical Physics

References in corpus (5)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• The Thermodynamic Limit in Mean Field Spin Glass Models
• Griffiths inequalities for the Gaussian spin glass
• Monotonicity and Thermodynamic Limit for Short Range Disordered Models
• On the Surface Pressure for the Edwards-Anderson Model

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• Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder
• Stochastic Stability: a Review and Some Perspectives
• Inequalities for the Local Energy of Random Ising Models
• Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line