Abstract
From the laws of macroscopic electrostatics of conductors (in particular, the existence of screening), taken as given, one can deduce universal properties for the thermal fluctuations in a classical Coulomb system at equilibrium. The universality is especially apparent in the long-range correlations of the electrical potentials and fields. The charge fluctuations are derived from the field fluctuations. This is a convenient way to study the surface charge fluctuations on a conductor with boundaries. Explicit results are given for simple geometries. The potentials and the fields have Gaussian fluctuations, except for a short-distance cutoff.
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laboratory associated with the Centre National de la Recherche Scientifique.
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Jancovici, B. Classical Coulomb systems: Screening and correlations revisited. J Stat Phys 80, 445–459 (1995). https://doi.org/10.1007/BF02178367
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DOI: https://doi.org/10.1007/BF02178367