Geodesic
Effective collision frequency method in the theory of the conductivity of Coulomb systems.~I. Weakly nonideal plasma and the classical limit
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 510-523

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The effective collision frequency method proposed earlier by the authors is developed to calculate the frequency-dependent conductivity of a Coulomb system. In part I, the equation of motion for the two-particle Green's function is used to obtain an exact diagram representation for the electron effective collision frequency $\nu_e(p,\omega)$. This representation makes it possible to separate the main contribution in the limit of a weak interaction. The function $\nu_e(p,\omega)$ is calculated for a weakly nonideal plasma for arbitrary degeneracy with allowance for the effects of screening and the the ion dynamics. A comparison with the corresponding results of the kinetic equation method is made. The problem of eliminating the Coulomb divergence for the conductivity of a weakly nonideal plasma on the transition to the classical limit is considered. 
@article{TMF_1992_91_3_a14,
     author = {V. B. Bobrov and S. A. Triger},
     title = {Effective collision frequency method in the theory of the conductivity of {Coulomb} {systems.~I.} {Weakly} nonideal plasma and the classical limit},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {510--523},
     publisher = {mathdoc},
     volume = {91},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a14/}
}
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V. B. Bobrov; S. A. Triger. Effective collision frequency method in the theory of the conductivity of Coulomb systems.~I. Weakly nonideal plasma and the classical limit. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 510-523. http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a14/