Abstract
A regular perturbation theory technique is constructed using the plasma parameters of the equilibrium Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) equation chain for a multicomponent plasma in which higher order terms are small at all admissable interparticle distances, in contrast to the Debye equations. As a result, two correlation radii appear in a charge-asymmetric plasma: the Debye radius D and √2 D. The divergence of correlation functions characteristic of Debye splitting is eliminated in any order of the perturbation theory. For the proposed theory to be applicable the plasma parameter must be limited more severely, the deeper the depth of the potential well which appears upon approach of oppositely charged ions.
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