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Single-File Diffusion in a Box

Lizana, L. and Ambjörnsson, T. LU (2008) In Physical Review Letters 100(20).
Abstract
We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density function using a Bethe ansatz, from which the mean square displacement is calculated. The analysis shows the existence of three regimes of drastically different behavior for short, intermediate, and large times. The results are in excellent agreement with stochastic simulations (Gillespie algorithm).
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
100
issue
20
publisher
American Physical Society
external identifiers
  • scopus:44149102183
ISSN
0031-9007
DOI
10.1103/PhysRevLett.100.200601
language
English
LU publication?
no
id
6e4a4bc3-f319-4847-aa2b-5d261c297781
date added to LUP
2019-05-03 11:32:37
date last changed
2019-08-14 13:55:03
@article{6e4a4bc3-f319-4847-aa2b-5d261c297781,
  abstract     = {We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density function using a Bethe ansatz, from which the mean square displacement is calculated. The analysis shows the existence of three regimes of drastically different behavior for short, intermediate, and large times. The results are in excellent agreement with stochastic simulations (Gillespie algorithm).},
  articleno    = {200601},
  author       = {Lizana, L. and Ambjörnsson, T.},
  issn         = {0031-9007},
  language     = {eng},
  number       = {20},
  publisher    = {American Physical Society},
  series       = {Physical Review Letters},
  title        = {Single-File Diffusion in a Box},
  url          = {http://dx.doi.org/10.1103/PhysRevLett.100.200601},
  volume       = {100},
  year         = {2008},
}