Long range spatial correlation between two Brownian particles under external driving
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/r2 type.
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