Single-file dynamics with different diffusion constants
(2008) In The Journal of chemical physics 129(18).- Abstract
- We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two-particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N-particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as... (More)
- We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two-particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N-particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as the square root of time (as for identical particles) for long times, with a prefactor which depends on the diffusion constants for the particles; these results are in excellent agreement with very recent analytic predictions in the mathematics literature. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4e4b6bb8-aa84-4890-b980-3f646955fb4e
- author
- Ambjörnsson, Tobias LU ; Lizana, Ludvig ; Lomholt, Michael A. and Silbey, Robert J.
- publishing date
- 2008-11-14
- type
- Contribution to journal
- publication status
- published
- subject
- in
- The Journal of chemical physics
- volume
- 129
- issue
- 18
- article number
- 185106
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- scopus:56349111134
- ISSN
- 0021-9606
- DOI
- 10.1063/1.3009853
- language
- English
- LU publication?
- no
- id
- 4e4b6bb8-aa84-4890-b980-3f646955fb4e
- date added to LUP
- 2019-05-03 11:31:37
- date last changed
- 2022-04-02 08:28:46
@article{4e4b6bb8-aa84-4890-b980-3f646955fb4e, abstract = {{We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two-particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N-particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as the square root of time (as for identical particles) for long times, with a prefactor which depends on the diffusion constants for the particles; these results are in excellent agreement with very recent analytic predictions in the mathematics literature.}}, author = {{Ambjörnsson, Tobias and Lizana, Ludvig and Lomholt, Michael A. and Silbey, Robert J.}}, issn = {{0021-9606}}, language = {{eng}}, month = {{11}}, number = {{18}}, publisher = {{American Institute of Physics (AIP)}}, series = {{The Journal of chemical physics}}, title = {{Single-file dynamics with different diffusion constants}}, url = {{http://dx.doi.org/10.1063/1.3009853}}, doi = {{10.1063/1.3009853}}, volume = {{129}}, year = {{2008}}, }