Glassy behaviour in disordered systems with non-relaxational dynamics

Abstract

We show that a family of disordered systems with non-relaxational dynamics may exhibit ``glassy'' behavior at nonzero temperature, although such a behavior appears to be ruled out by a face-value application of mean-field theory. Nevertheless, the roots of this behavior can be understood within mean-field theory itself, properly interpreted. Finite systems belonging to this family have a dynamical regime with a self-similar pattern of alternating periods of fast motion and trapping.

4 pages, 4 figures

Cited by in corpus (64)

• Theoretical perspective on the glass transition and amorphous materials
• Fluctuation theorem for stochastic dynamics
• Yield Stress Materials in Soft Condensed Matter
• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Ageing and Rheology in Soft Materials
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• The effective temperature
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Moving glass theory of driven lattices with disorder
• Two-time scales, two-temperature scenario for nonlinear rheology
• Crises and collective socio-economic phenomena: simple models and challenges
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Fluctuation-dissipation relation in a sheared fluid
• Nonlinear Analogue of the May-Wigner Instability Transition
• Fluctuation-Dissipation theorems and entropy production in relaxational systems
• Spatially heterogeneous ages in glassy dynamics
• Behavior of heuristics and state space structure near SAT/UNSAT transition
• Glassy systems under time-dependent driving forces: application to slow granular rheology
• Emergence of macroscopic temperatures in systems that are not thermodynamical microscopically: towards a thermodynamical description of slow granular rheology
• Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
• Dynamical Crystallites of Active Chiral Particles
• Thermal properties of slow dynamics
• Effective temperature in driven vortex lattices with random pinning
• Fluctuations in glassy systems
• Aging and diffusion in low dimensional environments
• Yield stress, heterogeneities and activated processes in soft glassy materials
• Shear-thickening and entropy-driven reentrance
• Topology trivialization transition in random non-gradient autonomous ODE's on a sphere
• Effective temperature of a dissipative driven mesoscopic system
• Metastability at the Yield-Stress Transition in Soft Glasses
• Relaxation dynamics of the Ising $p$-spin disordered model with finite number of variables
• Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model
• Polymers and manifolds in static random flows: a renormalization group study
• Aging by near-extinctions in many-variable interacting populations
• Driven quantum coarsening
• On the Stability of the Mean-Field Glass Broken Phase under Non-Hamiltonian Perturbations
• Interrupted coarsening in a driven kinetically constrained Ising chain
• Out of equilibrium dynamics of the spiral model
• Equivalence of driven and ageing fluctuation-dissipation relations in the trap model
• Glassy trapping of manifolds in nonpotential random flows
• Nonreciprocal Spin-Glass Transition and Aging
• Unlearnable Games and "Satisficing'' Decisions: A Simple Model for a Complex World
• Accelerating, to some extent, the $p$-spin dynamics
• Dynamics of particles and manifolds in a quenched random force field
• Anomalous aging phenomena caused by drift velocities
• Off-Equilibrium Dynamics of a 4D Spin Glass with Asymmetric Couplings
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Counting equilibria of large complex systems by instability index
• Spatio-temporal correlations in Wigner molecules
• Damage spreading transition in glasses: a probe for the ruggedness of the configurational landscape
• Out-of-equilibrium thermodynamic relations in systems with aging and slow relaxation
• Damage spreading in the mode-coupling equations for glasses
• Effects from Additional Random Configuration to Linear Response and Modified Fluctuation-Dissipation Relation
• Slow nonequilibrium dynamics: parallels between classical and quantum glasses and gently driven systems
• Spin-glass model with partially annealed asymmetric bonds
• Critical scaling in hidden state inference for linear Langevin dynamics
• A consequence of local equilibration and heterogeneity in glassy materials
• Controlling the Glass Transition through Active Fluctuating Interactions
• Asymptotic description of neural networks with correlated synaptic weights
• Zero-temperature dynamics of the spherical model with non-reciprocal interactions
• Heterogeneities and local fluctuations in glassy systems
• On the number of equilibria with a given number of unstable directions