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Kubo formula for frequency dispersion of dielectric permittivity and static conductivity of the Coulomb system |
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| Authors: | V.B. Bobrov A.G. Zagorodny |
| Affiliation: | a Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaia St., 13, Bd. 2, Moscow 125412, Russia b Eindhoven University of Technology, P.O. Box 513, MB 5600 Eindhoven, The Netherlands c Bogolyubov Institute for Theoretical Physics, National Academy of Science of Ukraine, 14-b Metrolohichna, Kyiv 03608, Ukraine |
| Abstract: | It is proved that the Kubo formula for the conductivity σ(ω) is valid at real frequencies ω. On this basis, an exact relation is derived for the static conductivity σst of the Coulomb system. It is shown that the static conductivity is determined by the time correlation function in the limit t→∞. It is proved that the permittivity ε(ω) satisfies the Kramers-Kronig relations which take into account a singularity associated with static conductivity. |
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