Classical strongly coupled QGP: VI. Structure Factors

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 $\mathrm{\Gamma }=V\mathrm{/}K$, the ratio of the mean potential to Coulomb energy. The results are compared with SU(2) molecular dynamics simulations.