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
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