Localisation in 1D random random walks

Details Localisation in 1D random random walks Localisation in 1D random random walks

1998-01-14

arxiv.org/abs/cond-mat/9801140v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/31/29/004

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 $\bar{< x^2 > - < x > ^2}$ 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.

Affiliated with

Also associated with

No associations

Rating

Localisation in 1D random random walks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Localisation in 1D random random walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localisation in 1D random random walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-210129