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Classical diffusion of N interacting particles in one dimension: General results and asymptotic laws

Claude Aslangul
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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.

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Claude Aslangul. 1999-01-14. Classical diffusion of N interacting particles in one dimension: General results and asymptotic laws. https://doi.org/10.1209/epl%2Fi1998-00471-9

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