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Face of Tobias Ambjörnsson. Photo.

Tobias Ambjörnsson

Senior lecturer

Face of Tobias Ambjörnsson. Photo.

Dissimilar bouncy walkers

Author

  • Michael A Lomholt
  • Ludvig Lizana
  • Tobias Ambjörnsson

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

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 0021-9606