Your browser has javascript turned off or blocked. This will lead to some parts of our website to not work properly or at all. Turn on javascript for best performance.

The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Face of Tobias Ambjörnsson. Photo.

Tobias Ambjörnsson

Senior lecturer

Face of Tobias Ambjörnsson. Photo.

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

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

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 1742-5468