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

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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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conductivity
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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.",
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Kramers-Kroning relations for the dielectric function and the static conductivity of Coulomb systems. / Bobrov, V.B.; Trigger, S.A.; Heijst, van, G.J.F.; Schram, P.P.J.M.

In: EPL, Vol. 90, No. 1, 10003, 2010, p. 10003-1/4.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Kramers-Kroning relations for the dielectric function and the static conductivity of Coulomb systems

AU - Bobrov, V.B.

AU - Trigger, S.A.

AU - Heijst, van, G.J.F.

AU - Schram, P.P.J.M.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1209/0295-5075/90/10003

DO - 10.1209/0295-5075/90/10003

M3 - Article

VL - 90

SP - 10003-1/4

JO - EPL

JF - EPL

SN - 0295-5075

IS - 1

M1 - 10003

ER -