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arXiv · 1003.4724

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

V. B. Bobrov·S. A. Trigger·G. J. F. van Heijst·P. P. J. M. Schram
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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.

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V. B. Bobrov, S. A. Trigger, G. J. F. van Heijst, P. P. J. M. Schram. 2010-03-24. Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems. https://doi.org/10.1209/0295-5075%2F90%2F10003

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