Journal
PHYSICAL REVIEW E
Volume 62, Issue 4, Pages 5648-5666Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.62.5648
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A systematic approach to the optical conductivity is given within a dielectric function formalism. The response function as well as the dynamical local-field factor G((k) over right arrow,w) of an electron-ion plasma can be expressed in terms of determinants of equilibrium correlation functions which allow for a perturbative treatment. The dynamical collision frequency v(w) = - iw(pl)(2)G(0,w)/w for fully ionized weakly coupled plasmas is evaluated in the low-density limit. A renormalization function is given to describe the effects of higher moments of the distribution function, thus the Spitzer formula is reproduced in the static limit. The existence of the third moment sum rule can be shown analytically. Numerical calculations are presented for the dynamical conductivity of hydrogen plasmas at solar core conditions.
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