Spin glass overlap barriers in three and four dimensions

Abstract

For the Edwards-Anderson Ising spin-glass model in three and four dimensions (3d and 4d) we have performed high statistics Monte Carlo calculations of those free-energy barriers $F_B^q$ which are visible in the probability density $P_J(q)$ of the Parisi overlap parameter $q$. The calculations rely on the recently introduced multi-overlap algorithm. In both dimensions, within the limits of lattice sizes investigated, these barriers are found to be non-self-averaging and the same is true for the autocorrelation times of our algorithm. Further, we present evidence that barriers hidden in $q$ dominate the canonical autocorrelation times.

20 pages, Latex, 12 Postscript figures, revised version to appear in Phys. Rev. B

References in corpus (3)

• Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
• Multi-Overlap Simulations of the $3d$ Edwards-Anderson Ising Spin Glass
• Energy barriers of spin glasses from multi-overlap simulations

Cited by in corpus (11)

• Generalized Ensemble Simulations for Complex Systems
• Finite size corrections in the Sherrington-Kirkpatrick model
• Multi-Overlap Simulations for Transitions between Reference Configurations
• Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions
• Overlap Distribution of the Three-Dimensional Ising Model
• Mesoscopic real space structures in aging spin-glasses: the Edwards-Anderson model
• A brief history of the introduction of generalized ensembles to Markov chain Monte Carlo simulations
• Nonflat Histogram Techniques for Spin Glasses
• What makes slow samples slow in the Sherrington-Kirkpatrick model
• Multi-overlap simulations of spin glasses
• Enhanced Sampling Algorithms