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Long range spatial correlation between two Brownian particles under external driving

Shin-ichi Sasa
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Abstract

We study the large distance behavior of a steady distribution of two Brownian particles under external driving in a two-dimensional space. Employing a method of perturbative system reduction, we analyze a Fokker-Planck equation that describes the time evolution of the probability density for the two particles. The expression we obtain shows that there exist a long range correlation between the two particles, of $1/r^2$ type.

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Shin-ichi Sasa. 2004-08-01. Long range spatial correlation between two Brownian particles under external driving. https://doi.org/10.1016/j.physd.2005.02.004

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