Kovacs effect and fluctuation-dissipation relations in 1D kinetically constrained models

Abstract

Strong and fragile glass relaxation behaviours are obtained simply changing the constraints of the kinetically constrained Ising chain from symmetric to purely asymmetric. We study the out-of-equilibrium dynamics of those two models focusing on the Kovacs effect and the fluctuation--dissipation relations. The Kovacs or memory effect, commonly observed in structural glasses, is present for both constraints but enhanced with the asymmetric ones. Most surprisingly, the related fluctuation-dissipation (FD) relations satisfy the FD theorem in both cases. This result strongly differs from the simple quenching procedure where the asymmetric model presents strong deviations from the FD theorem.

13 pages and 7 figures. To be published in J. Phys. A

References in corpus (4)

• Glassy dynamics of kinetically constrained models
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Glassy dynamics in the East model
• Simple strong glass forming models: mean-field solution with activation

Cited by in corpus (18)

• Kovacs-like memory effect in driven granular gases
• Activated aging dynamics and negative fluctuation-dissipation ratios
• The Kovacs effect: a master equation analysis
• Non-equilibrium dynamics of spin facilitated glass models
• Kovacs Effect in a Fragile Glass Model
• Memory effects in the relaxation of the Gaussian trap model
• Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
• Kovacs effect in facilitated spin models of strong and fragile glasses
• Memory effects in classical and quantum mean-field disordered models
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Strong non-exponential relaxation and memory effects in a fluid with non-linear drag
• The Kovacs effect in the one-dimensional Ising model: a linear response analysis
• Kovacs-like memory effect in athermal systems: linear response analysis
• Kovacs Effect in Glass with Material Memory Revealed in Non-Equilibrium Particle Interactions
• Linear response in the uniformly heated granular gas
• Observable Dependent Quasi-Equilibrium in Slow Dynamics
• Aging in the trap model as a relaxation further away from equilibrium
• Kovacs effect in solvable model glasses