重尾相互作用球形谢林顿-柯克帕特里克模型自由能的波动

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2024-10-30 DOI:10.1007/s10955-024-03358-w

Taegyun Kim, Ji Oon Lee

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引用次数: 0

摘要

我们考虑了无外部磁场的 2 自旋球形 Sherrington-Kirkpatrick 模型，其中自旋之间的相互作用是重尾分布的随机变量。我们证明，自由能表现出急剧的相变，这取决于相互作用矩阵最大特征值的位置。我们还证明了极限自由能的阶次以及两种状态下自由能波动的极限分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model with Heavy-Tailed Interaction

We consider the 2-spin spherical Sherrington–Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-tailed distribution. We show that the free energy exhibits a sharp phase transition depending on the location of the largest eigenvalue of the interaction matrix. We also prove the order of the limiting free energy and the limiting distribution of the fluctuation of the free energy for both regimes.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.