Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation

Abstract

We study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble those of kinetically constrained models, and obey dynamical scaling, controlled by zero-temperature critical points. Dynamics in both models are thermally activated, resulting in multi-stage relaxation towards equilibrium. We study several two-time correlation and response functions. We find that equilibrium fluctuation-dissipation relations are generically not satisfied during the aging regime, but deviations from them are well described by fluctuation-dissipation ratios, as found numerically in supercooled liquids. These ratios are purely dynamic objects, containing information about the nature of relaxation in the models. They are non-universal, and can even be negative as a result of activated dynamics. Thus, effective temperatures are not well-defined in these models.

29 pages, 10 figs

References in corpus (52)

• 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
• Glassy dynamics of kinetically constrained models
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Direct observation of molecular cooperativity near the glass transition
• Ageing Properties of Critical Systems
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Renormalization Group Calculation for the Reaction $kA\to \varnothing$
• Measuring equilibrium properties in aging systems
• Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
• Phase space geometry and slow dynamics
• Dynamic criticality in glass-forming liquids
• Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes
• Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
• Probing an nonequilibrium Einstein relation in an aging colloidal glass
• Glassy dynamics and aging in an exactly solvable spin model
• Fluctuation-Dissipation-Theorem violation during the formation of a colloidal-glass
• Heterogeneous aging in spin glasses
• Observable-dependence of fluctuation-dissipation relations and effective temperatures
• Glassiness and constrained dynamics of a short-range non-disordered spin model
• Response Function of Coarsening Systems
• Heterogeneous Dynamics of Coarsening Systems
• Dynamical response functions in models of vibrated granular media
• Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field
• Intermittency in aging
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Experimental study of the Fluctuation-Dissipation-Relation during an aging process
• Dynamic particle tracking reveals the aging temperature of a colloidal glass
• Caging and mosaic lengthscales in plaquette spin models of glasses
• Glassy dynamics in the East model
• Glassiness through the emergence of effective dynamical constraints in interacting systems
• Intermittent origin of the large violations of the fluctuation dissipation relations in an aging polymer glass
• Renormalization group study of a kinetically constrained model for strong glasses
• Novel glassy behavior in a ferromagnetic p-spin model
• Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
• Basic Representations of A_{2l}^(2) and D_{l+1}^(2) and the Polynomial Solutions to the Reduced BKP Hierarchies
• Static and dynamic lengthscales in a simple glassy plaquette model
• On universality in aging ferromagnets
• Activated aging dynamics and negative fluctuation-dissipation ratios
• Real space application of the mean-field description of spin glass dynamics
• Fluctuation-dissipation relations in the activated regime of simple strong-glass models
• Fragile-glass behavior of a short range $p$-spin model
• Mappings between reaction-diffusion and kinetically constrained systems: A+A <-> A and the FA model have upper critical dimension d_c=2
• Reply to Comment on "Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models"
• Kovacs effect and fluctuation-dissipation relations in 1D kinetically constrained models
• Glassy properties of the Kawasaki dynamics of two-dimensional ferromagnets
• Slow dynamics in the 3--D gonihedric model
• Fast Simulation of Facilitated Spin Models
• Dynamics of the two-dimensional gonihedric spin model
• Glassy behaviour in an exactly solved spin system with a ferromagnetic transition
• Crystallization of a supercooled liquid and of a glass - Ising model approach

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