On the Surface Pressure for the Edwards-Anderson Model

Abstract

For the Edwards-Anderson model we introduce an integral representation for the surface pressure (per unit surface) in terms of a quenched moment of the bond-overlap on the surface. We find upper and lower bounds uniformly in the volume and show that at high temperature its value is strictly different from zero.

Minor changes. To appear in Commun. Math. Phys

References in corpus (3)

• The Thermodynamic Limit in Mean Field Spin Glass Models
• Thermodynamical Limit for Correlated Gaussian Random Energy Models
• Monotonicity and Thermodynamic Limit for Short Range Disordered Models

Cited by in corpus (7)

• Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder
• Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
• Inequalities for the Local Energy of Random Ising Models
• Thermodynamic Limit for Mean-Field Spin Models
• Lack of monotonicity in spin glass correlation functions
• Finite-size corrections for the attractive mean-field monomer-dimer model
• Correlation Inequalities for Spin Glass in one Dimension