| Issue |
EPL
Volume 90, Number 1, June 2010
|
|
|---|---|---|
| Article Number | 10003 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/10003 | |
| Published online | 19 April 2010 | |
Kramers-Kronig relations for the dielectric function and the static conductivity of Coulomb systems
1
Joint Institute for High Temperatures, Russian Academy of Sciences - 13/19, Izhorskaia Str., Moscow 125412, Russia
2
Eindhoven University of Technology - P.O. Box 513, MB 5600 Eindhoven, The Netherlands, EU
Corresponding authors: vic5907@mail.ru satron@mail.ru
Received:
10
March
2010
Accepted:
30
March
2010
The mutual influence of singularities of the dielectric permittivity ε (q, ω) in a Coulomb system in two limiting cases ω 
0, q 0 and q 0, ω 0 is established. It is shown that the dielectric permittivity ε (q 0, ω) 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.
PACS: 05.20.Dd – Kinetic theory / 05.30.Fk – Fermion systems and electron gas / 52.25.Mq – Dielectric properties
© EPLA, 2010
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