Correlation Inequalities for Spin Glasses
无序系统与神经网络
2009-11-11 v1 统计力学
数学物理
math.MP
摘要
We prove a correlation type inequality for spin systems with quenched symmetric random interactions. This gives monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models. Consequences include existence of the thermodynamic limit for the pressure and bounds on the surface pressure. We also describe other conjectured inequalities for such systems.
引用
@article{arxiv.cond-mat/0612371,
title = {Correlation Inequalities for Spin Glasses},
author = {Pierluigi Contucci and Joel Lebowitz},
journal= {arXiv preprint arXiv:cond-mat/0612371},
year = {2009}
}