Effective collision frequency method in the theory of the conductivity of Coulomb systems. I. Weakly nonideal plasma and the classical limit

V. B. Bobrov   ; S. A. Triger

Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 510-523

Résumé

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.

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