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Photo of Tobias Ambjörnsson

Tobias Ambjörnsson

Senior lecturer

Photo of Tobias Ambjörnsson

Tracer particle diffusion in a system with hardcore interacting particles

Author

  • Simon Pigeon
  • Karl Fogelmark
  • Bo Söderberg
  • Gautam Mukhopadhyay
  • Tobias Ambjörnsson

Summary, in English

In this study, inspired by the work of Nakazato and Kitahara (1980 Prog. Theor. Phys. 64 2261), we consider the theoretical problem of tracer particle diffusion in an environment of diffusing hardcore interacting crowder particles. The tracer particle has a different diffusion constant from the crowder particles. Based on a transformation of the generating function, we provide an exact formal expansion for the tracer particle probability density, valid for any lattice in the thermodynamic limit. By applying this formal solution to dynamics on a regular Bravais lattice we provide a closed form approximation for the tracer particle diffusion constant which extends the Nakazato and Kitahara results to include also b.c.c. and f.c.c. lattices. Finally, we compare our analytical results to simulations in two and three dimensions.

Department/s

  • Computational Biology and Biological Physics - Undergoing reorganization

Publishing year

2017-12-21

Language

English

Publication/Series

Journal of Statistical Mechanics: Theory and Experiment

Volume

2017

Issue

12

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Other Physics Topics
  • Biophysics

Keywords

  • Brownian motion
  • correlation functions
  • diffusion
  • stochastic particle dynamics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1742-5468