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Long range spatial correlation between two Brownian particles under external driving

Statistical Mechanics 2009-11-10 v1

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/r21/r^2 type.

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Cite

@article{arxiv.cond-mat/0408012,
  title  = {Long range spatial correlation between two Brownian particles under external driving},
  author = {Shin-ichi Sasa},
  journal= {arXiv preprint arXiv:cond-mat/0408012},
  year   = {2009}
}

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11 pages