Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2003-06-04
J. Phys. A: Math. Gen. 36, 10701 - 10719 (2003).
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages, 6 figures; revised version
Scientific paper
10.1088/0305-4470/36/43/003
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.
Bertin Eric M.
Bouchaud Jean-Philippe
Drouffe J.-M.
Godreche Claude
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