Equivalence of driven and ageing fluctuation-dissipation relations in the trap model

Abstract

We study the non-equilibrium version of the fluctuation dissipation (FD) relation in the glass phase of a trap model that is driven into a non-equilibrium steady state by external ``shear''. This extends our recent study of ageing FD relations in the same model, where we found limiting, observable independent FD relations for ``neutral'' observables that are uncorrelated with the system's average energy. In this work, for such neutral observables, we find the FD relation for a stationary weakly driven system to be the same, to within small corrections, as for an infinitely aged system. We analyse the robustness of this correspondence with respect to non-neutrality of the observable, and with respect to changes in the driving mechanism.

arXiv comment7 pages, 4 figures

References in corpus (18)

• Rheology of Soft Glassy Materials
• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Models of traps and glass phenomenology
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Two-time scales, two-temperature scenario for nonlinear rheology
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above
• Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes
• Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
• Observable-dependence of fluctuation-dissipation relations and effective temperatures
• Fluctuation-dissipation relation in a sheared fluid
• Glassy behaviour in disordered systems with non-relaxational dynamics
• Multiple scaling regimes in simple aging models
• Drift, creep and pinning of a particle in a correlated random potential
• Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems
• Activated Drift Motion of a Classical Particle With a Dynamical Pinning Effect

Cited by in corpus (11)

• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• The effective temperature
• Supercooled Liquids Under Shear: Theory and Simulation
• Slow dynamics, aging, and glassy rheology in soft and living matter
• Effective Temperatures in Driven Systems: Static vs. Time-Dependent Relations
• Correlation function and generalized master equation of arbitrary age
• Experimental study of out of equilibrium fluctuations in a colloidal suspension of Laponite using optical traps
• Effective temperatures from the fluctuation-dissipation measurements in soft glassy materials
• Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear
• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems