| Issue |
Europhys. Lett.
Volume 44, Number 3, November I 1998
|
|
|---|---|---|
| Page(s) | 284 - 289 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00471-9 | |
| Published online | 01 September 2002 | |
Classical diffusion of N interacting particles in one dimension: General results and asymptotic laws
Groupe de Physique des Solides, Universités Paris 7 et Paris 6, 2 place Jussieu, 75251 Paris Cedex 05, France
Received:
13
July
1998
Accepted:
15
September
1998
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 
for the edge
ones. Absolute correlations between the edge particles increase
as 
.
The asymptotic one-body distribution is obtained and discussed in
relation of the statistics of extreme events.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 05.60.+w – Transport processes: theory
© EDP Sciences, 1998
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