Kramers-Kroning relations for the dielectric function and the static conductivity of Coulomb systems

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

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)

Abstract

The mutual influence of singularities of the dielectric permittivity e(q, ¿) in a Coulomb system in two limiting cases ¿¿0, q¿0 and q¿0, ¿¿0 is established. It is shown that the dielectric permittivity e(q¿0, ¿) 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.
Original languageEnglish
Article number10003
Pages (from-to)10003-1/4
Number of pages4
JournalEPL
Volume90
Issue number1
DOIs
Publication statusPublished - 2010

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