Theory of distribution of ion microfield and its space and time derivatives in a plasma of complex ionization composition

Joint distribution functions for an individual component of an ion microfield and its time and space derivatives in a plasma with an arbitrary composition and distribution in field ion charge were constructed for the first time based on generalization of the Baranger-Mozer cluster expansion method. The obtained general expressions take into account interaction of the emitting ion with the field one, a screening of ions by plasma electrons and pair ion-ion correlations of field ions. Analytical expressions for first moments of the distribution function by components of the ion microfield inhomogeneity tensor and the first time derivative of the ion microfield strength vector were obtained for pair correlation functions in the Debye-Huckel approximation