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Models of traps and glass phenomenology | | Cécile Monthus
; Jean-Philippe Bouchaud
; | | Date: |
4 Dec 1995 | | Journal: | J. Phys. A 29 (1996) 3847 | | Subject: | cond-mat | | Affiliation: | SPhT, CE Saclay France) and Jean-Philippe Bouchaud (SPEC, CE Saclay France | | Abstract: | We study various models of independent particles hopping between energy `traps’ with a density of energy barriers $
ho(E)$, on a $d$ dimensional lattice or on a fully connected lattice. If $
ho(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 $
ho(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. | | Source: | arXiv, cond-mat/9601012 | | Services: | Forum | Review | PDF | Favorites | |
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