Parametrization of pair correlation function and static structure factor of the one component plasma across coupling regimes

TL;DR

This paper develops a parametrization of the pair correlation function and static structure factor for the one component plasma across different coupling regimes, aiding interpretation of experimental data in warm dense matter and dusty plasmas.

Contribution

It introduces a new parametrization method for the Coulomb OCP's static properties applicable across coupling regimes, enhancing analysis of experimental scattering data.

Findings

Effective parametrization for weakly and strongly coupled regimes

Application to interpret x-ray Thomson scattering data

Extension prospects for Yukawa systems

Abstract

We present a parametrization of the pair correlation function and the static structure factor of the Coulomb one component plasma (OCP) from the weakly coupled regime to the strongly coupled regime. Recent experiments strongly suggest that the OCP model can play the role of a reference system for warm dense matter. It can provide the ionic static structure factor that is necessary to interpret the x-ray Thomson scattering measurements, for instance. We illustrate this with the interpretation of a x-ray diffraction spectrum recently measured, using a Bayesian method that requires many evaluations of the static structure factor to automatically calibrate the parameters. For strongly coupled dusty plasmas, the proposed parametrization of the Coulomb OCP pair correlation function can be related to the Yukawa one, including screening. Further prospects to parametrize the static structure of Yukawa systems are also discussed.