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In the present paper we introduce a full and closed system of atomic kineticequations on fractions of atomic energy levels taking into account the effectof the plasma ions electric microfield mixing dynamics. The system of equationsthat we present is deduced from a full quantum multi-atomic states densitymatrix master equation. The analytical derivation of this atomic kinetic systemof equations is based on the introduction of a new hierarchy chain of equationsinvolving a new set of statistical atomic variables. The final system of atomickinetic equations is obtained by introducing relation de fermeture to truncatethe hierarchy chain of equations. We show that the final system of equationscontains a new plasma ions electric microfield dependent atomic rates relatedto the process of mixing dynamics of atomic energy states. The analyticalexpression of this rate is given in this paper. We discuss the importance ofthe present analysis in view of the radiation emission originating from denseplasmas created by the interaction of the X-ray Free Electron Laser (XFEL) withsolid density matter.

Atomic energy levels population kinetics in dense plasmas - plasma ions electric microfield mixing dynamics effect (I): the general theory