Tracer particle diffusion in a system with hardcore interacting particles
(2017) In Journal of Statistical Mechanics: Theory and Experiment 2017(12).- Abstract
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.... (More)
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.
(Less)
- author
- Pigeon, Simon ; Fogelmark, Karl LU ; Söderberg, Bo LU ; Mukhopadhyay, Gautam and Ambjörnsson, Tobias LU
- organization
- publishing date
- 2017-12-21
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Brownian motion, correlation functions, diffusion, stochastic particle dynamics
- in
- Journal of Statistical Mechanics: Theory and Experiment
- volume
- 2017
- issue
- 12
- article number
- 123209
- publisher
- IOP Publishing
- external identifiers
-
- scopus:85039779133
- ISSN
- 1742-5468
- DOI
- 10.1088/1742-5468/aa9db3
- language
- English
- LU publication?
- yes
- id
- aca055f9-d4fe-4a41-be4e-9526f6562d05
- date added to LUP
- 2018-01-09 13:21:24
- date last changed
- 2024-03-01 10:53:47
@article{aca055f9-d4fe-4a41-be4e-9526f6562d05,
abstract = {{<p>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.</p>}},
author = {{Pigeon, Simon and Fogelmark, Karl and Söderberg, Bo and Mukhopadhyay, Gautam and Ambjörnsson, Tobias}},
issn = {{1742-5468}},
keywords = {{Brownian motion; correlation functions; diffusion; stochastic particle dynamics}},
language = {{eng}},
month = {{12}},
number = {{12}},
publisher = {{IOP Publishing}},
series = {{Journal of Statistical Mechanics: Theory and Experiment}},
title = {{Tracer particle diffusion in a system with hardcore interacting particles}},
url = {{http://dx.doi.org/10.1088/1742-5468/aa9db3}},
doi = {{10.1088/1742-5468/aa9db3}},
volume = {{2017}},
year = {{2017}},
}