The mean field infinite range p=3 spin glass: equilibrium landscape and correlation time scales

Abstract

We investigate numerically the dynamical behavior of the mean field 3-spin spin glass model: we study equilibrium dynamics, and compute equilibrium time scales as a function of the system size V. We find that for increasing volumes the time scales $\tau$ increase like $\ln \tau \propto V$. We also present an accurate study of the equilibrium static properties of the system.

arXiv comment6 pages, 9 figures

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• Functional renormalization group for multilinear disordered Langevin dynamics I: Formalism and first numerical investigations at equilibrium
• Mean Field Spin Glass in the Observable Representation
• Lattice glass model in three spatial dimensions
• Finite size effects and loss of self-averageness in the relaxational dynamics of the spherical Sherrington-Kirkpatrick model
• Evidence of one-step replica symmetry breaking in a three-dimensional Potts glass model
• Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory
• Extreme-Value Distributions and the Freezing Transition of Structural Glasses
• Universality of REM-like aging in mean field spin glasses
• Maximum-energy records in glassy energy landscapes