Molecular dynamics calculations of the correlator of plasma fluctuations

The modern kinetic theory of plasmas is based on the Bogoliubov-Klimontovich theory of correlations/fluctuations [1-3], considering particle discreteness and the basic statistical relation = N for the fluctuations of the particle density, valid for any system of particles [4]. The theory of fluctuations has two fundamental assumptions: (i) the separation of time scales for average (continuous) and fluctuating (particle discreteness) parts of all quantities (distribution function, density, field) (ii) the conceptual separation of the fluctuations into "natural" and "induced" fluctuations, the latter induced in a system of charged particles by the fluctuating field generated by the natural (or "source") fluctuations due to particle discreteness and present in any large system of particles. The natural fluctuations are random and not known but the theory is formulated in terms of their correlators providing the theoretical expressions for their spectral density.