Electrical conductivity of strongly degenerate plasma with the account of electron-electron scattering

Dynamical screening in the description of plasma transport properties with arbitrary degeneracy

“…This leads to computational problems in the first Born approximation for the electron-electron collisions contribution to transport properties (Lenard-Balescu collision integrals [12,13] ). Only in cases of extremely degenerate plasma (where electron-electron collisions are suppressed [14] ) and high-temperature low-density plasma (for which the asymptotic limits can be calculated [15,16] ), transport coefficients are obtained without difficulties. There were many attempts to simulate dynamical screening in the intermediate region using a static dielectric function with the adjustment of the screening length (Röpke and co-workers [15,[17][18][19] ), but the independent way of preliminary obtaining this length has not been found.…”

“…In this paper, the method of representing the Fermi-Dirac distribution function in the form of a Chebyshev polynomial expansion proposed in ref. [14] for a strongly degenerate electron gas is generalized to the case of arbitrary degeneracy. As a result, the electron-electron correlation functions can be reduced to the sum of two-dimensional integrals.…”

Corrections to the Electrical Conductivity of the Fully Ionized Plasma at Moderate Values of the Degeneracy Parameter

“…In the strongly degenerate electron systems electron-ion scattering prevails and the conductivity is well described without regard to electron-electron collisions [2,3]. In the previous works the limits of non-degenerate [6] and strongly-degenerate [7,8] plasmas were investigated with a careful consideration of electron-electron scattering. For the intermediate degeneracy the task is still not solved.…”