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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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Bibliographic Details
Published in:Physics of plasmas 2011-05, Vol.18 (5), p.052106-052106-5
Main Authors: Bobrov, V. B., Mendeleyev, V. Ya, Skovorod’ko, S. N., Trigger, S. A.
Format: Article
Language:English
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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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.3587091