Lack of monotonicity in spin glass correlation functions

Abstract

We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the local energy correlation functions increase monotonically with the scale and, by consequence, with respect to the volume of the system we find that in a general spin glass model those monotonicities are violated.

9 pages, 2 figures

References in corpus (7)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• On the Phase Structure of the 3D Edwards Anderson Spin Glass
• Replica equivalence in the Edwards-Anderson model
• Monotonicity and Thermodynamic Limit for Short Range Disordered Models
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Cited by in corpus (3)

• Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder
• Stochastic Stability: a Review and Some Perspectives
• Inequality for local energy of Ising models with quenched randomness and its application