Models of traps and glass phenomenology

Details Models of traps and glass phenomenology Models of traps and glass phenomenology

1996-01-04

arxiv.org/abs/cond-mat/9601012v1

J. Phys. A 29 (1996) 3847

Physics

Condensed Matter

35 pages, 2 figures (not included). The two figures are available upon request

Scientific paper

10.1088/0305-4470/29/14/012

We study various models of independent particles hopping between energy `traps' with a density of energy barriers $\rho(E)$, on a $d$ dimensional lattice or on a fully connected lattice. If $\rho(E)$ decays exponentially, a true dynamical phase transition between a high temperature `liquid' phase and a low temperature `aging' phase occurs. More generally, however, one expects that for a large class of $\rho(E)$, `interrupted' aging effects appear at low enough temperatures, with an ergodic time growing faster than exponentially. The relaxation functions exhibit a characteristic shoulder, which can be fitted as stretched exponentials. A simple way of introducing interactions between the particles leads to a modified model with an effective diffusion constant in energy space, which we discuss in detail.

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