The Kovacs effect in model glasses

Abstract

We discuss the `memory effect' discovered in the 60's by Kovacs in temperature shift experiments on glassy polymers, where the volume (or energy) displays a non monotonous time behaviour. This effect is generic and is observed on a variety of different glassy systems (including granular materials). The aim of this paper is to discuss whether some microscopic information can be extracted from a quantitative analysis of the `Kovacs hump'. We study analytically two families of theoretical models: domain growth and traps, for which detailed predictions of the shape of the hump can be obtained. Qualitatively, the Kovacs effect reflects the heterogeneity of the system: its description requires to deal not only with averages but with a full probability distribution (of domain sizes or of relaxation times). We end by some suggestions for a quantitative analysis of experimental results.

17 pages, 6 figures; revised version

References in corpus (22)

• Rheology of Soft Glassy Materials
• Dynamical heterogeneities in a supercooled Lennard-Jones liquid
• String-like Clusters and Cooperative Motion in a Model Glass-Forming Liquid
• Rheological constitutive equation for model of soft glassy materials
• Models of traps and glass phenomenology
• Ageing and Rheology in Soft Materials
• Memory and Chaos Effects in Spin Glasses
• Aging on Parisi's tree
• Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A Numerical Study
• Memory Effects in Granular Material
• Separation of time and length scales in spin-glasses: temperature as a microscope
• Kovacs effects in an aging molecular liquid
• Aging in the random energy model
• Memory in the aging of a polymer glass
• Non-topographic description of inherent structure dynamics in glass formers
• Aging in K${}_{1-x}$Li${}_x$Ta0${}_3$: a domain growth interpretation
• Finite size scaling analysis of the glass transition
• Finite-Size Effects in a Supercooled Liquid
• Surfing on a critical line: Rejuvenation without chaos, Memory without a hierarchical phase space
• Deviations from Perfect Memory in Spin Glass Temperature Cycling Experiments
• Frequency Dependence of Aging, Rejuvenation and Memory in a disordered ferroelectric
• Scaling Law and Aging Phenomena in the Random Energy Model

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