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

doi:10.1209/0295-5075/90/10003

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

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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 language	English
Article number	10003
Pages (from-to)	10003-1/4
Number of pages	4
Journal	EPL
Volume	90
Issue number	1
DOIs	https://doi.org/10.1209/0295-5075/90/10003
Publication status	Published - 2010

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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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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

SN - 0295-5075

VL - 90

SP - 10003-1/4

JO - EPL

JF - EPL

IS - 1

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ER -

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

Abstract

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