Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems
Statistical Mechanics
2015-05-18 v1
Abstract
The mutual influence of singularities of the dielectric permittivity e(q,w) in a Coulomb system in two limiting cases w tends to zero, q tends to zero, and opposite q tends to zero, w tends to zero is established. It is shown that the dielectric permittivity e(q,w) satisfies the Kramers-Kronig relations, which possesses the singularity due to a finite value of the static conductivity. This singularity is associated with the long "tails" of the time correlation functions.
Keywords
Cite
@article{arxiv.1003.4724,
title = {Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems},
author = {V. B. Bobrov and S. A. Trigger and G. J. F. van Heijst and P. P. J. M. Schram},
journal= {arXiv preprint arXiv:1003.4724},
year = {2015}
}
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9 pages, 0 figures