多物种 Sherrington-Kirkpatrick 模型的 Thouless-Anderson-Palmer 公式

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

Journal of Statistical Physics Pub Date : 2024-07-15 DOI:10.1007/s10955-024-03288-7

Qiang Wu

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引用次数: 0

摘要

我们证明了多物种 Sherrington-Kirkpatrick (MSK) 自旋玻璃模型中局部磁化的 Thouless-Anderson-Palmer (TAP) 方程。其中一个关键要素是基于 Dey 和 Wu（J Stat Phys 185(3):22, 2021）建立的浓度结果。对于一般的 MSK 模型，这些方程在高温下是成立的，不需要对方差轮廓矩阵（\mathbf {\Delta }^2\）进行正半有限假设。

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Thouless–Anderson–Palmer Equations for the Multi-species Sherrington–Kirkpatrick Model

We prove the Thouless–Anderson–Palmer (TAP) equations for the local magnetization in the multi-species Sherrington–Kirkpatrick (MSK) spin glass model. One of the key ingredients is based on concentration results established in Dey and Wu (J Stat Phys 185(3):22, 2021). The equations hold at high temperature for general MSK model without positive semi-definite assumption on the variance profile matrix \(\mathbf {\Delta }^2\).

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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.