Long-range correlations of the surface charge density between electrical media with flat and spherical interfaces

Abstract

We study the asymptotic long-range behavior of the time-dependent correlation function of the surface charge density induced on the interface between two media of distinct dielectric functions which are in thermal equilibrium with one another as well as with the radiated electromagnetic field. We start with a short review which summarizes the results obtained by using quantum and classical descriptions of media, in both non-retarded and retarded regimes of particle interactions. The classical static result for the flat interface is rederived by using a combination of the microscopic linear response theory and the macroscopic method of electrostatic image charges. The method is then applied to the case of a spherically shaped interface between media.

6 pages, invited talk at the conference SCCS 2011, Budapest

References in corpus (3)

• Statics and Dynamics of Strongly Charged Soft Matter
• Strong Coupling Electrostatics in the Presence of Dielectric Inhomogeneities
• Weak and Strong Coupling Theories for Polarizable Colloids and Nano-Particles

Cited by in corpus (5)

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• One-dimensional colloidal model with dielectric inhomogeneity