Equilibrium long-ranged charge correlations at the surface of a conductor coupled to the electromagnetic radiation

Details Equilibrium long-ranged charge correlations at the surface of a conductor coupled to the electromagnetic radiation Equilibrium long-ranged charge correlations at the surface of a conductor coupled to the electromagnetic radiation

2008-07-29

arxiv.org/abs/0807.4667v2

Phys. Rev. E 78 (2008) 051119

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevE.78.051119

This study is related to the fluctuation theory of electromagnetic fields, charges and currents. The three-dimensional system under consideration is a semi-infinite conductor, modeled by the jellium, in vacuum. In previous theoretical studies it was found that the correlation functions of the surface charge density on the conductor decay as the inverse cube of the distance at asymptotically large distances. The prefactor to this asymptotic decay was obtained in the classical limit and in the quantum case without retardation effects. To describe the retarded regime, we study a more general problem of the semi-infinite jellium in thermal equilibrium with the radiated electromagnetic field. By using Rytov's fluctuational electrodynamics we show that, for both static and time-dependent surface charge correlation functions, the inclusion of retardation effects causes the quantum prefactor to take its universal static classical form, for any temperature.

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