The dynamics of the spherical p-spin model: from microscopic to asymptotics

Abstract

We have numerically investigated the mean-field dynamics of the the $p$-spin interaction spin glass model with p=3 using an efficient method of integrating the dynamic equations. We find a new time scale associated with the onset of the breakdown of the fluctuation-dissipation theorem in the intermediate time regime. We also find that the off-equilibrium relaxation exhibits a sub-aging behavior in the intermediate times and crosses over to a simple aging in the asymptotic regime.

3 figures

References in corpus (3)

• Fluctuations, response and aging dynamics in a simple glass-forming liquid out of equilibrium
• Off-Equilibrium Effective Temperature in Monatomic Lennard-Jones Glass
• Non equilibrium mode coupling theory for supercooled liquids and glasses

Cited by in corpus (30)

• Theoretical perspective on the glass transition and amorphous materials
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka-Volterra model of ecosystems
• Spatially heterogeneous ages in glassy dynamics
• Rethinking mean-field glassy dynamics and its relation with the energy landscape: the awkward case of the spherical mixed p-spin model
• Replica-symmetry-breaking transitions and off-equilibrium dynamics
• Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
• Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inference
• Dynamical Instantons and Activated Processes in Mean-Field Glass Models
• Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
• On weak ergodicity breaking in mean-field spin glasses
• Mode-coupling theory for the dynamic heterogeneity in an aging glass: How Do Glassy Domains Grow?
• Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
• Aging and relaxation near Random Pinning Glass Transitions
• From sub-aging to hyper-aging in structural glasses
• Functional renormalization group for multilinear disordered Langevin dynamics I: Formalism and first numerical investigations at equilibrium
• Ageing in bosonic particle-reaction models with long-range transport
• Crossover from stationary to aging regime in glassy dynamics
• Functional renormalization group for multilinear disordered Langevin dynamics II: Revisiting the $p=2$ spin dynamics for Wigner and Wishart ensembles
• Critical Off-Equilibrium Dynamics in Glassy Systems
• Accelerating, to some extent, the $p$-spin dynamics
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Comment on "Hole-Burning Experiments within Glassy Models with Infinite Range Interactions"
• Nonequilibrium dynamics in an amorphous solid
• Numerical renormalization of glassy dynamics
• Structural relaxation, dynamical arrest and aging in soft-sphere liquids
• Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential: A time-reversal-symmetry-preserving field-theoretic approach
• The glass susceptibility: growth kinetics and saturation under shear
• Controlling the Glass Transition through Active Fluctuating Interactions
• Strong ergodicity breaking in dynamical mean-field equations for mixed p-spin glasses