Exact series expansion for even frequency moments of the dynamic structure factor

2025/06/12 by P. Tolias, Tolias, Panagiotis, Jan Vorberger +3 · 3 citations
Chemistry · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications

paper · pdf · doi:10.48550/arxiv.2506.10410

openalex publication_date 2025/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An exact series representation of the even frequency moments of the dynamic structure factor is derived. Truncations are proposed that allow to evaluate the explicitly unknown second, fourth and fifth frequency moments for the finite temperature uniform electron gas. Their applicability range in terms of degeneracy parameter and wavenumber is determined by exploiting the non-interacting limit and by comparing with the quasi-exact results of path integral Monte Carlo simulations.

Citations

• Static linear density response from X-ray Thomson scattering measurements: a case study of warm dense beryllium
• Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data
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• On the density-density correlations of the non-interacting finite temperature electron gas
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• Ab initio path integral Monte Carlo simulations of the uniform electron gas on large length scales
• Fermionic physics from ab initio path integral Monte Carlo simulations of fictitious identical particles
• Physical insights from imaginary-time density--density correlation functions
• Current challenges in the physics of white dwarf stars
• Path integrals in the theory of condensed helium
• Statistical physics of dense plasmas: Thermodynamics, transport coefficients and dynamic correlations
• Bounds for Some Equilibrium Properties of an Electron Gas

Cited by

• Enhancing the Efficiency of Time-Dependent Density Functional Theory Calculations of Dynamic Response Properties
• Kinetic contribution to the arbitrary order odd frequency moments of the dynamic structure factor
• Reweighting scheme for the calculation of grand-canonical expectation values in quantum Monte Carlo simulations with a fermion sign problem

Related

• Kinetic contribution to the arbitrary order odd frequency moments of the dynamic structure factor
• Frequency moments of the Coulomb dynamic structure factor and related integrals
• Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data
• Dynamic Structure Factor: An Introduction
• Series Expansions for Variable Electron Density