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

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

2008-11-03

arxiv.org/abs/0811.0295v1

Phys. Rev. E 79 (2009) 021111

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure

Scientific paper

10.1103/PhysRevE.79.021111

Results of a previous article with the same title are retrieved by a different method. A one-component plasma is bounded by a plane surface. The plasma is fully coupled to the electromagnetic field, therefore the charge correlations are retarded. The quantum correlation function of the surface charge densities, at times different by $t$, at asymptotical large distances $R$, at inverse temperature $\beta$, decays as $-1/(8\pi^2\beta R^3)$, a surprisingly simple result: the decay is independent of Planck's constant $\hbar$ and of the time difference $t$. The present paper is based on the analysis of the collective vibration modes of the system.

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