On the Cut-off Distance and the Classical Energy-averaged Electron-ion Momentum Transport Cross Section in Ideal and Nonideal Plasmas

Abstract

The wide use of a speed-independent distance as a cut-off impact parameter together with Rutherford's scattering formula, within the cut-off theory, to account for charge screening in plasma environment embodies a clear inconsistency. A new physically justified choice of the cut-off distance is introduced and used to derive a closed form expression for the effective momentum transport cross section. A simple approximation for the present Coulomb logarithm, free of special functions, is also presented and assessed. A comparison with experimentally recovered data for the reduced Coulomb conductivity showed better agreement and better physical behavior of the present expressions compared to previous cut-off expressions in the literature.

arXiv comment11 pages, 4 figures, Accepted, IEEE Transaction on Plasma Science