Tobias Ambjörnsson
Universitetslektor
Tracer particle diffusion in a system with hardcore interacting particles
Författare
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.
Avdelning/ar
- Beräkningsbiologi och biologisk fysik - Har omorganiserats
Publiceringsår
2017-12-21
Språk
Engelska
Publikation/Tidskrift/Serie
Journal of Statistical Mechanics: Theory and Experiment
Volym
2017
Issue
12
Dokumenttyp
Artikel i tidskrift
Förlag
IOP Publishing
Ämne
- Other Physics Topics
- Biophysics
Nyckelord
- Brownian motion
- correlation functions
- diffusion
- stochastic particle dynamics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1742-5468