Model-free Rayleigh weight from x-ray Thomson scattering measurements

Abstract

X-ray Thomson scattering (XRTS) has emerged as a powerful tool for the diagnostics of matter under extreme conditions. In principle, it gives one access to important system parameters such as the temperature, density, and ionization state, but the interpretation of the measured XRTS intensity usually relies on theoretical models and approximations. In this work, we show that it is possible to extract the Rayleigh weight -- a key property that describes the electronic localization around the ions -- directly from the experimental data without the need for any model calculations or simulations. As a practical application, we consider an experimental measurement of strongly compressed Be at the National Ignition Facility (NIF) [Döppner \emph{et al.}, \textit{Nature} \textbf{618}, 270-275 (2023)]. In addition to being interesting in their own right, our results will open up new avenues for diagnostics from \emph{ab initio} simulations, help to further constrain existing chemical models, and constitute a rigorous benchmark for theory and simulations.

References in corpus (17)

• FPEOS: A First-Principles Equation of State Table of Deuterium for Inertial Confinement Fusion Applications
• Ab initio equations of state for hydrogen (H-REOS.3) and helium (He-REOS.3) and their implications for the interior of Brown Dwarfs
• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• X-Ray Thomson scattering without the Chihara decomposition
• Electronic Density Response of Warm Dense Matter
• First principles simulations of dense hydrogen
• Accurate Temperature Diagnostics for Matter under Extreme Conditions
• Thomson scattering in the average-atom approximation
• X-ray scattering as a probe for warm dense mixtures and high-pressure miscibility
• Ab initio Static Exchange-Correlation Kernel across Jacob's Ladder without functional derivatives
• X-ray Thomson scattering spectra from DFT-MD simulations based on a modified Chihara formula
• Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
• Extraction of the frequency moments of spectral densities from imaginary-time correlation function data
• Revealing Non-equilibrium and Relaxation in Warm Dense Matter
• Speed of sound in methane under conditions of planetary interiors
• Evidence of free-bound transitions in warm dense matter and their impact on equation-of-state measurements
• Unraveling electronic correlations in warm dense quantum plasmas

Cited by in corpus (3)

• Ab initio density functional theory approach to warm dense hydrogen: from density response to electronic correlations
• Unlocking the Power of Orbital-Free Density Functional Theory to Explore the Electronic Structure Under Extreme Conditions
• PyLIT: Reformulation and implementation of the analytic continuation problem using kernel representation methods