Classical diffusion of N interacting particles in one dimension: General results and asymptotic laws
Abstract
I consider the coupled one-dimensional diffusion of a cluster of N classical particles with contact repulsion. General expressions are given for the probability distributions, allowing to obtain the transport coefficients. In the limit of large N, and within a Gaussian approximation, the diffusion constant is found to behave as N-1 for the central particle and as (ln N)-1 for the edge ones. Absolute correlations between the edge particles increase as (ln N)2. The asymptotic one-body distribution is obtained and discussed in relation of the statistics of extreme events.
- Publication:
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EPL (Europhysics Letters)
- Pub Date:
- November 1998
- DOI:
- 10.1209/epl/i1998-00471-9
- arXiv:
- arXiv:cond-mat/9901131
- Bibcode:
- 1998EL.....44..284A
- Keywords:
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- 05.40.+j;
- 05.60.+w;
- Condensed Matter
- E-Print:
- 6 pages, 2 eps figures