Abstract
We consider the dynamics of a one-dimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants n, where n labels different bouncy walkers, are drawn from a distribution ( n). We provide an approximate analytic solution to this recent single-file problem by combining harmonization and effective medium techniques. Two classes of systems are identified: when ( n) is heavy-tailed, ( n)≃ n -1- (01) for large n, we identify a new universality class in which density relaxations, characterized by the dynamic structure factor S(Q, t), follows a Mittag-Leffler relaxation, and the mean square displacement (MSD) of a tracer particle grows as t with time t, where (1 ). If instead is light-tailed such that the mean friction constant exist, S(Q, t) decays exponentially and the MSD scales as t 1/2. We also derive tracer particle force response relations. All results are corroborated by simulations and explained in a simplified model.
| Original language | English |
|---|---|
| Journal | Journal of Chemical Physics |
| Volume | 134 |
| Issue number | 8 |
| Pages (from-to) | 045101 |
| ISSN | 0021-9606 |
| DOIs | |
| Publication status | Published - 28 Jan 2011 |