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Calculation of 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz (1309.5764v2)
Published 23 Sep 2013 in cond-mat.stat-mech and cond-mat.dis-nn
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.