The work of Baimbetov on Nonideal Plasmas and Some Recent Developments

We summarize life and work on nonideal plasma thermodynamics of the late Fazylkhan Baimbetov. Analyzing Baimbetovs method of pseudo potentials we develop several extensions. First we optimize the parameter choice by comparing with recent exact results for thermodynamics. We compare the result of the pseudopotential method with the available exact results, check the formulae for stability and show generalizations of the pseudo potentials and extensions for higher densities. In particular we demonstrate how the introduction of the full Kelbg potential and the Debye-Kaklyugin methods of suppression of high plasma wave modes allows to include higher orders in density up to Wigner-type lattice-like contributions. We show how a new pseudopotential for the free charges can be combined with HNC integral equations. In conclusion we find that the analytical results obtained by Baimbetovs method are, with some improvements, in good overall agreement with available exact results. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)