Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems

Details Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems

2010-03-24

arxiv.org/abs/1003.4724v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 0 figures

Scientific paper

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.

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