
Tobias Ambjörnsson
Senior lecturer

Single-file dynamics with different diffusion constants
Author
Summary, in English
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.
Publishing year
2008-11-14
Language
English
Publication/Series
The Journal of chemical physics
Volume
129
Issue
18
Document type
Journal article
Publisher
American Institute of Physics (AIP)
Topic
- Other Physics Topics
- Biophysics
Status
Published
ISBN/ISSN/Other
- ISSN: 0021-9606