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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 1996

Models of traps and glass phenomenology

Résumé

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.

Dates et versions

hal-00004245 , version 1 (16-02-2005)

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Cécile Monthus, Jean-Philippe Bouchaud. Models of traps and glass phenomenology. Journal of Physics A: Mathematical and Theoretical, 1996, 29, pp.3847-3869. ⟨hal-00004245⟩
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