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The Long‐wavelength Limit of the Dielectric Function for Dense Plasmas
Author(s) -
Reinholz H.,
Redmer R.,
Röpke G.,
Wierling A.
Publication year - 1999
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150390119
Subject(s) - limit (mathematics) , moment (physics) , degeneracy (biology) , consistency (knowledge bases) , long wavelength limit , physics , dielectric , collision frequency , wavelength , function (biology) , conductivity , plasma oscillation , plane (geometry) , plasma , collision , dielectric function , condensed matter physics , quantum mechanics , mathematical analysis , mathematics , computer science , bioinformatics , geometry , computer security , evolutionary biology , biology
The dielectric function of a system of charged particles is investigated for arbitrary degeneracy within a linear response theory. This approach allows for inclusion of collisions, thus going beyond the RPA and treating the electrical conductivity in consistency with the dielectric function. A general expression for the collision integral in the whole ( k , w ) plane is presented. Special attention is given to the long‐wavelength limit deriving a frequency‐dependent collision term. In the limit k = 0 and w = 0, the Ziman formula for the electrical conductivity in metallic systems is reproduced. By inspection of the high‐frequency limit, it is shown that the third moment of the response function is in accordance with the well‐known third moment sum rule.