Determination of the single particle distribution function in a weakly correlated weakly inhomogeneous plasma

TL;DR

This paper derives the single particle distribution function for weakly correlated, inhomogeneous plasma systems using BBGKY hierarchy, enabling better understanding of their thermodynamic properties.

Contribution

It introduces a novel derivation of the single particle distribution function from BBGKY hierarchy for weakly inhomogeneous plasmas.

Findings

Derived distribution function from BBGKY hierarchy.

Applicable to thermodynamic analysis of plasma systems.

Utilized pair correlation function from previous work.

Abstract

Single particle distribution function of plasma particles has been derived from the first member of the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy utilising the pair correlation function evaluated in \cite{kn:ab1} from the second member of the BBGKY hierarchy. This distribution function may be employed to probe the thermodynamic properties of the weakly inhomogeneous plasma systems.