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Localisation in 1D random random walks | | Albert Compte
; Jean-Philippe Bouchaud
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14 Dec 1997 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Affiliation: | Universitat Autonoma - Barcelona), Jean-Philippe Bouchaud (CEA-Saclay | | Abstract: | Diffusion in a one dimensional random force field leads to interesting localisation effects, which we study using the equivalence with a directed walk model with traps. We show that although the average dispersion of positions $ar{< x^2 > - < x > ^2}$ diverges for long times, the probability that two particles occupy the same site tends to a finite constant in the small bias phase of the model. Interestingly, the long time properties of this off-equilibrium, aging phase is similar to the equilibrium phase of the Random Energy Model. | | Source: | arXiv, cond-mat/9801140 | | Services: | Forum | Review | PDF | Favorites | |
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