Functional form of distribution and correlation functions of strongly coupled plasmas.*

The advent of high energy-density experimental facilities, such as the National Ignition Facility and  the Linac Coherent Light Source,  reinforces efforts to explore matter under extreme states produced in laboratories and stellar objects. Understanding the properties of non-ideal matter through computational modeling is critical for designing and analyzing high energy-density experiments. A central element to our understanding of numerous properties such as transport properties and equation of state are the radial distribution function (RDF). The RDF is often computed using molecular dynamics, Monte Carlo or integral equations;  embedding these methods into large-scale hydrodynamics codes is prohibitively expensive; thus, a simplified and general functional form of the RDF is needed. Here, we investigate a theoretical approach to get the functional form of the RDF for the strongly coupled and multicomponent plasmas. The results are validated with MD and HNC simulations.