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arXiv · 1309.5764

Calculation of 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz

Masahiko Ueda·Shin-ichi Sasa
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Abstract

We study $p$-spin glass models on regular random graphs. By analyzing the Franz-Parisi potential with a two-body cavity field approximation under the replica symmetric ansatz, we obtain a good approximation of the 1RSB transition temperature for $p=3$. Our calculation method is much easier than the 1RSB cavity method because the result is obtained by solving self-consistent equations with Newton's method.

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Masahiko Ueda, Shin-ichi Sasa. 2014-02-02. Calculation of 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz. https://doi.org/10.1088/1742-5468%2F2014%2F02%2Fp02005

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