Analytic fit to the one-component-plasma structure factor

Abstract
We use a nonlinear least-squares-fitting program to find an analytic fit to the one-component plasma fluid structure factor S(q,Γ) over the ranges 0≤q≤21.75 and 1≤Γ≤225. The S(q,Γ) function is generated as a table from the solution of the modified hypernetted chain integral equation. The table is fitted with polynomials in q and Γ, using a total of 175 coefficients. The overall fit is good, suggesting that the fitting method might be applied successfully to other distribution functions.