On the density-density correlations of the non-interacting finite temperature electron gas
arXiv:2410.22942 · doi:10.1002/ctpp.202400135
Abstract
The density-density correlations of the non-interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic structure factor, thermal structure factor and imaginary time correlation function. Applications of these expressions in the classical mapping approach, self-consistent dielectric formalism and equation-of-state construction are analyzed in depth.
arXiv comment18 pages, no figures
References in corpus (30)
- The Uniform Electron Gas at Warm Dense Matter Conditions
- Local Spin-density Approximation Exchange-correlation Free-energy Functional
- Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
- Nonempirical Semi-local Free-Energy Density Functional for Matter Under Extreme Conditions
- A simple classical mapping of the spin-polarized quantum electron gas: distribution functions and local field corrections
- Electronic Density Response of Warm Dense Matter
- Progress on stochastic analytic continuation of quantum Monte Carlo data
- Nonlinear Electronic Density Response in Warm Dense Matter
- Accurate Temperature Diagnostics for Matter under Extreme Conditions
- The Strongly Coupled Electron Liquid: ab initio Path Integral Monte Carlo Simulations and Dielectric Theories
- Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
- Nonlinear density response from imaginary-time correlation functions: Ab initio path integral Monte Carlo simulations of the warm dense electron gas
- Integral equation theory based dielectric scheme for strongly coupled electron liquids
- Free Energy of the Uniform Electron Gas: Testing Analytical Models against First Principle Results
- Classical bridge functions in classical and quantum plasma liquids
- Classical Representation of a Quantum System at Equilibrium: Applications
- Classical Representation of a Quantum System at Equilibrium: Theory
- Extraction of the frequency moments of spectral densities from imaginary-time correlation function data
- Nonlinear Density Response and Higher Order Correlation Functions in Warm Dense Matter
- Quantum version of the integral equation theory based dielectric scheme for strongly coupled electron liquids
- Nonlinear electromagnetic response of a uniform electron gas
- Unravelling the nonlinear ideal density response of many-body systems
- Fourier-Matsubara series expansion for imaginary-time correlation functions
- Revisiting the Vashishta-Singwi dielectric scheme for the warm dense uniform electron fluid
- Unraveling electronic correlations in warm dense quantum plasmas
- Energy response and spatial alignment of the perturbed electron gas
- Physical insights from imaginary-time density--density correlation functions
- Dynamic exchange-correlation effects in the strongly coupled electron liquid
- Distribution of the Riemann zeros represented by the Fermi gas
- Green's function perspective on the nonlinear density response of quantum many-body systems