
Tobias Ambjörnsson
Senior lecturer

Dissimilar bouncy walkers
Author
Summary, in English
We consider the dynamics of a one-dimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants ξ(n), where n labels different bouncy walkers, are drawn from a distribution ϱ(ξ(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 ϱ(ξ(n)) is heavy-tailed, ϱ(ξ(n))≃ξ(n) (-1-α) (0<α<1) for large ξ(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(δ) with time t, where δ = α∕(1 + α). If instead ϱ 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.
Department/s
- Computational Biology and Biological Physics - Undergoing reorganization
Publishing year
2011
Language
English
Publication/Series
Journal of Chemical Physics
Volume
134
Issue
4
Document type
Journal article
Publisher
American Institute of Physics (AIP)
Topic
- Biophysics
- Other Physics Topics
Status
Published
ISBN/ISSN/Other
- ISSN: 0021-9606