论文标题
具有淬火随机性的ISING模型相关函数的一些不平等现象
Some inequalities for correlation functions of Ising models with quenched randomness
论文作者
论文摘要
相关性不平等在分析铁磁模型中起着至关重要的作用，但在自旋玻璃模型中尚未确定。在这项研究中，我们获得了具有猝灭随机性的Ising模型的一些相关性不平等，其中相互作用的分布是对称的。获得的不等式可以被视为先前结果的扩展，该结果仅限于旋转集的局部能量，用于一对旋转组的局部能量。此外，我们还获得了一些不对称分布的相关性不平等。
Correlation inequalities have played an essential role in the analysis of ferromagnetic models but have not been established in spin glass models. In this study, we obtain some correlation inequalities for the Ising models with quenched randomness, where the distribution of the interactions is symmetric. The acquired inequalities can be regarded as an extension of the previous results, which were limited to the local energy for a spin set, to the local energy for a pair of spin sets. Besides, we also obtain some correlation inequalities for asymmetric distribution.
