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Single-file diffusion with non-thermal initial conditions

Author

Listed:
  • Lizana, Ludvig
  • Lomholt, Michael A.
  • Ambjörnsson, Tobias

Abstract

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires an elaborate mathematical machinery. There is therefore a need for simple approaches which provide intuitive understandings and predict qualitatively correct behaviours. Here we put forward a scaling-type method which we use to investigate the influence of non-thermal initial conditions on the dynamics of a tracer particle. With our new approach we reproduce, up to scaling, several known long and short time asymptotic results for the tracer particle mean square displacement.

Suggested Citation

  • Lizana, Ludvig & Lomholt, Michael A. & Ambjörnsson, Tobias, 2014. "Single-file diffusion with non-thermal initial conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 148-153.
  • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:148-153
    DOI: 10.1016/j.physa.2013.10.025
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