Tracer particle diffusion in a system with hardcore interacting particles

Research output: Contribution to journalArticle


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.


External organisations
  • Queen's University Belfast
  • Pierre and Marie Curie University
  • Lund University
  • Centre for Excellence in Basic Sciences
  • Indian Institute of Technology, Bombay
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Physics Topics


  • Brownian motion, correlation functions, diffusion, stochastic particle dynamics
Original languageEnglish
Article number123209
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number12
Publication statusPublished - 2017 Dec 21
Publication categoryResearch