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

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.

21 pages, 1 figure

References in corpus (5)

• Reconstruction on trees and spin glass transition
• Generalization of the cavity method for adiabatic evolution of Gibbs states
• Potts Glass on Random Graphs
• Large Deviation Property of Free Energy in p-Body Sherrington-Kirkpatrick Model
• Thermodynamic Construction of an One-Step Replica-Symmetry-Breaking Solution in Finite Connectivity Spin Glasses

Cited by in corpus (1)

• Replica analysis of Franz-Parisi potential for sparse systems