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On potential and field fluctuations in two-dimensional classical charged systems
Authors:A. Alastuey  B. Jancovici
Affiliation:(1) Laboratoire de Physique Théorique et Hautes Energies, Université Paris-Sud, 91405 Orsay, France
Abstract:We supplement a previous paper on three-dimensional systems by studying the electric potential and field fluctuations in two-dimensional Coulomb systems. The novelty in two dimensions is that the fluctuations of the potential at a point are infinite in the thermodynamic limit. However, the potential difference between two points has finite fluctuations, which resemble the ones which occur in the three-dimensional case. The field fluctuations are also rather similar in both cases. The correlations do not have a fast decay. Explicit results are obtained for a solvable model; the fluctuations of the potential are Gaussian with an infinite variance.This laboratory is associated with the Centre National de la Recherche Scientifique.
Keywords:Coulomb systems  two dimensions  potential fluctuations  field fluctuations
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