Full replica symmetry breaking in generalized mean--field spin glasses with reflection symmetry

Abstract

The analysis of the solution with full replica symmetry breaking in the vicinity of $T_c$ of a general spin glass model with reflection symmetry is performed. The leading term in the order parameter function expansion is obtained. Parisi equation for the model is written.

arXiv comment9 pages, 2 figures

References in corpus (7)

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• The Blume-Emery-Griffiths Spin Glass Model
• The 3-SAT problem with large number of clauses in $\infty$-replica symmetry breaking scheme
• Thermodynamic Properties and Phase Transitions in a Mean-Field Ising Spin Glass on Lattice Gas: the Random Blume-Emery-Griffiths-Capel Model
• Numerical study of a short-range p-spin glass model in three dimensions
• Low-temperature Phase Transition in 3-state Potts Glass
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Cited by in corpus (8)

• Sherrington-Kirkpatrick model near $T=T_c$: expanding around the Replica Symmetric Solution
• Full versus first stage replica symmetry breaking in spin glasses
• Replica analysis of the generalized p-spin interaction glass model
• Potts spin glasses with 3, 4 and 5 states near $T=T_c$: expanding around the replica symmetric solution
• Continuous and discontinuous transitions in generalized p-spin glass models
• Generalized Sherrington--Kirkpatrick-glass without reflection symmetry
• Orientational glass: full replica symmetry breaking in generalized spin glass-like models without reflection symmetry
• Full replica symmetry breaking in p-spin-glass-like systems