Series Expansion of the Off-Equilibrium Mode Coupling Equations

Abstract

We show that computing the coefficients of the Taylor expansion of the solution of the off-equilibrium dynamical equations characterizing models with quenched disorder is a very effective way to understand the long time asymptotic behavior. We study the $p=3$ spherical spin glass model, and we compute the asymptotic energy (in the critical region and down to $T=0$) and the coefficients of the time decay of the energy.

9 pages, LaTeX, 3 uuencoded figures

References in corpus (4)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Glassy Transition and Aging in a Model without Disorder
• On Mean Field Glassy Dynamics out of Equilibrium

Cited by in corpus (7)

• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• Replica-symmetry-breaking transitions and off-equilibrium dynamics
• On the Approach to the Equilibrium and the Equilibrium Properties of a Glass-Forming Model
• On weak ergodicity breaking in mean-field spin glasses
• Introduction to the dynamics of disordered systems: equilibrium and gradient descent
• Damage spreading transition in glasses: a probe for the ruggedness of the configurational landscape
• Damage spreading in the mode-coupling equations for glasses