Structure of metastable states in spin glasses by means of a three replica potential

Abstract

We introduce a three replica potential useful to examine the structure of metastables states above the static transition temperature, in the spherical p-spin model. Studying the minima of the potential we are able to find which is the distance between the nearest equilibrium and local equilibrium states, obtaining in this way information on the dynamics of the system. Furthermore, the analysis of the potential at the dynamical transition temperature suggests that equilibrium states are not randomly distributed in the phase space.

plain tex, 26 pages, 6 postscript figures

References in corpus (5)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Recipes for metastable states in Spin Glasses
• Dynamics within metastable states in a mean-field spin glass
• Exactly solvable model of a quantum spin glass
• Saddle Points Stability in the Replica Approach Off Equilibrium

Cited by in corpus (17)

• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• On the stationary points of the TAP free energy
• Effective potential in glassy systems: theory and simulations
• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• Real-time non-equilibrium dynamics of quantum glassy systems
• Role of saddles in mean-field dynamics above the glass transition
• Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
• Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
• An investigation of the hidden structure of states in a mean field spin glass model
• Dynamical Instantons and Activated Processes in Mean-Field Glass Models
• Quasi-equilibrium in glassy dynamics: an algebraic view
• How to count in hierarchical landscapes: a 'full' solution to mean-field complexity
• Distribution of rare saddles in the $p$-spin energy landscape
• A novel method for evaluating the critical nucleus and the surface tension in systems with first order phase transition
• Basins of attraction of metastable states of the spherical $p$-spin model
• A method that reveals the multi-level ultrametric tree hidden in p-spin glass like systems
• Rare Trajectories in a Prototypical Mean-field Disordered Model: Insights into Landscape and Instantons