Classical Coulomb Systems:Screening and Correlations Revisited

Details Classical Coulomb Systems:Screening and Correlations Revisited Classical Coulomb Systems:Screening and Correlations Revisited

1995-03-18

arxiv.org/abs/cond-mat/9503109v1

J.Stat.Phys. 80 (1995) 445

Physics

Condensed Matter

17 pages,TEX

Scientific paper

10.1007/BF02178367

From the laws of macroscopic electrostatics of conductors (in particular the existence of screening) taken for granted, 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 for studying 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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