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Coulomb divergence of the high-frequency expansion of the dielectric permittivity
Based on accurate results of the linear response theory and the Kramers-Kronig relations, the permittivity ɛ ( ω ) of the non-relativistic Coulomb system is analyzed at arbitrary thermodynamic parameters in the high-frequency limit ω → ∞ . It is shown that the expansion of the real part of the permi...
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Published in: | Physics of plasmas 2011-05, Vol.18 (5), p.052106-052106-5 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Based on accurate results of the linear response theory and the Kramers-Kronig relations, the permittivity
ɛ
(
ω
)
of the non-relativistic Coulomb system is analyzed at arbitrary thermodynamic parameters in the high-frequency limit
ω
→
∞
. It is shown that the expansion of the real part of the permittivity
Re
ɛ
(
ω
)
in powers of 1
/
ω
2
is limited to only three terms. Limit constraints on the power-law behavior of the imaginary part of the permittivity
Im
ɛ
(
ω
)
are determined. |
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ISSN: | 1070-664X 1089-7674 |
DOI: | 10.1063/1.3587091 |