Localization in one-dimensional random random walks

被引:19
作者
Compte, A
Bouchaud, JP
机构
[1] Ctr Etud Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France
[2] Univ Autonoma Barcelona, Dept Fis, Bellaterra 08193, Catalonia, Spain
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 29期
关键词
D O I
10.1088/0305-4470/31/29/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Diffusion in a one-dimensional random force field leads to interesting localization effects, which we study using the equivalence with a directed walk model with traps. We show that although the average dispersion of positions <([x(2)] - [x](2))over bar> diverges for long times, the probability that two independent 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, ageing phase is similar to the equilibrium phase of the random energy model.
引用
收藏
页码:6113 / 6121
页数:9
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