Charge and Current Sum Rules in Quantum Media Coupled to Radiation II

Details Charge and Current Sum Rules in Quantum Media Coupled to Radiation II Charge and Current Sum Rules in Quantum Media Coupled to Radiation II

2009-11-18

arxiv.org/abs/0911.3493v1

J. Stat. Phys. 139 (2010) 432-453

Physics

Condensed Matter

Statistical Mechanics

23 pages, 1 figure

Scientific paper

10.1007/s10955-010-9936-5

This paper is a continuation of the previous study [\v{S}amaj, L.: J. Stat. Phys. {\bf 137}, 1-17 (2009)], where a sequence of sum rules for the equilibrium charge and current density correlation functions in an infinite (bulk) quantum media coupled to the radiation was derived by using Rytov's fluctuational electrodynamics. Here, we extend the previous results to inhomogeneous situations, in particular to the three-dimensional interface geometry of two joint semi-infinite media. The sum rules derived for the charge-charge density correlations represent a generalization of the previous ones, related to the interface dipole moment and to the long-ranged tail of the surface charge density correlation function along the interface of a conductor in contact with an inert (not fluctuating) dielectric wall, to two fluctuating semi-infinite media of any kind. The charge-current and current-current sum rules obtained here are, to our knowledge, new. The current-current sum rules indicate a breaking of the directional invariance of the diagonal current-current correlations by the interface. The sum rules are expressed explicitly in the classical high-temperature limit (the static case) and for the jellium model (the time-dependent case).

Affiliated with

Also associated with

No associations

Rating

Charge and Current Sum Rules in Quantum Media Coupled to Radiation II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Charge and Current Sum Rules in Quantum Media Coupled to Radiation II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charge and Current Sum Rules in Quantum Media Coupled to Radiation II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240838