Fig. 1: Demonstration of the temperature diagnostics from an XRTS signal.
From: Accurate temperature diagnostics for matter under extreme conditions
Panel a shows synthetic results for the dynamic structure factor (solid purple) in atomic units [a.u.] of a uniform electron gas29 (with a narrow Gaussian ion feature around E = 0) at the metallic density of \({r}_{s}=\overline{r}/{a}_{{{{{{{{\rm{B}}}}}}}}}=2\) (with \(\overline{r}\) being the average electronic separation) computed for the electronic Fermi temperature T = 12.53 eV, and for half the Fermi wave number40 q = 0.5qF = 0.91Å−1. The dashed curves have been convolved with a Gaussian SIF with the width σ = 1.67 eV (blue), σ = 3.33 eV (red), and σ = 7.41 eV (green). Panel b shows the corresponding evaluation of the two-sided Laplace transform of the respective XRTS signals (solid), and SIFs (dotted). Dividing the former by the latter gives the exact curve of F(q, τ) [solid purple] corresponding to the deconvolved dynamic structure factor S(q, E).
