Classical strongly coupled QGP: VI. Structure Factors

TL;DR

This paper derives analytical equations for structure factors in classical strongly coupled quark-gluon plasma and compares them with molecular dynamics simulations, enhancing understanding of plasma correlations.

Contribution

It introduces generalized Ornstein-Zernicke equations for structure factors in classical strongly coupled QGP and provides analytical solutions validated by simulations.

Findings

Analytical structure factors match simulation data

Generalized equations describe density and charge correlations

Results applicable for arbitrary coupling ratios b3

Abstract

We show that the classical and strongly coupled QGP (cQGP) is characterized by a multiple of structure factors that obey generalized Orstein-Zernicke equations. We use the canonical partition function and its associated density functional to derive analytical equations for the density and charge monopole structure factors for arbitrary values of $\Gamma=V/K$, the ratio of the mean potential to Coulomb energy. The results are compared with SU(2) molecular dynamics simulations.