Kovacs effect in facilitated spin models of strong and fragile glasses

Abstract

We investigate the Kovacs (or crossover) effect in facilitated $f$-spin models of glassy dynamics. Although the Kovacs hump shows a behavior qualitatively similar for all cases we have examined (irrespective of the facilitation parameter $f$ and the spatial dimension $d$), we find that the dependence of the Kovacs peak time on the temperature of the second quench allows to distinguish among different microscopic mechanisms responsible for the glassy relaxation (e.g. cooperative vs defect diffusion). We also analyze the inherent structure dynamics underlying the Kovacs protocol, and find that the class of facilitated spin models with $d>1$ and $f>1$ shows features resembling those obtained recently in a realistic model of fragile glass forming liquid.

arXiv comment7 pages, final version to appear in EPJB, new results and an extended discussion

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• The Kovacs effect: a master equation analysis
• Kovacs Effect in a Fragile Glass Model
• Memory effects in the relaxation of the Gaussian trap model
• 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
• Memory effects in glasses: insights into the thermodynamics of out of equilibrium systems revealed by a simple model of the Kovacs effect
• Non-equilibrium memory effects: granular fluids and beyond
• Kovacs Effect in Glass with Material Memory Revealed in Non-Equilibrium Particle Interactions
• Finite-size critical fluctuations in microscopic models of mode-coupling theory
• Linear response in the uniformly heated granular gas
• Kovacs effect in solvable model glasses
• Kinetic glass transition in granular gases and non-linear molecular fluids