# Determination of pair correlation function in a weakly correlated weakly inhomogeneous plasma

## TL;DR

This paper derives and calculates the pair correlation function in a weakly correlated, inhomogeneous plasma using the BBGKY hierarchy and perturbation theory, providing insights into plasma particle correlations.

## Contribution

It introduces a perturbative method to compute the pair correlation function in weakly inhomogeneous plasmas based on the BBGKY hierarchy.

## Key findings

- Derived an equation for the pair correlation function in inhomogeneous plasma.
- Calculated the pair correlation function using perturbation theory.
- Provides a framework for analyzing plasma correlations in weakly inhomogeneous conditions.

## Abstract

In a weakly correlated inhomogeneous plasma an equation of pair correlation function is obtained utilizing the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of equations. In this article the pair correlation function has been calculated from the same equation in the weakly inhomogeneous limit by using a perturbative theory.