Energy loss and friction characteristics of electrons at warm dense matter and non-ideal dense plasma conditions

Abstract

We investigate the energy loss characteristics of warm dense matter (WDM) and dense plasmas concentrating on the influence of electronic correlations. The basis for our analysis is a recently developed ab initio Quantum Monte-Carlo (QMC) based machine-learning representation of the static local field correction (LFC) [Dornheim et al., J. Chem. Phys. 151, 194104 (2019)], which provides an accurate description of the dynamical density response function of the electron gas at the considered parameters. We focus on the polarization-induced stopping power due to free electrons, the friction function, and the straggling rate. In addition, we compute the friction coefficient which constitutes a key quantity for the adequate Langevin dynamics simulation of ions. Considering typical experimental WDM parameters with partially degenerate electrons, we find that the friction coefficient is of the order of $\gamma /{\omega }_{pi}=0.01$, where ${\omega }_{pi}$ is the ionic plasma frequency. This analysis is performed by comparing QMC based data to results from the random phase approximation (RPA), the Mermin dielectric function, and the Singwi-Tosi-Land-Sjölander (STLS) approximation. It is revealed that the widely used relaxation time approximation (Mermin dielectric function) has severe limitations regarding the description of the energy loss properties of correlated partially degenerate electrons. Moreover, by comparing QMC based data with the results obtained using STLS, we find that energy loss properties are not sensitive to the inaccuracy of the static LFC at large wave numbers $k/k_F>2$ (with $k_F$ being the usual Fermi wave number), but that a correct description of the static LFC at $k/k_F\lesssim 1.5$ is important.

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• Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
• Finite-size effects in the reconstruction of dynamic properties from ab initio path integral Monte-Carlo simulations
• Ab initio Static Exchange-Correlation Kernel across Jacob's Ladder without functional derivatives
• Screening of a test charge in a free-electron gas at warm dense matter and dense non-ideal plasma conditions
• Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
• Quantum computation of stopping power for inertial fusion target design
• Improving dynamic collision frequencies: impacts on dynamic structure factors and stopping powers in warm dense matter
• Mixed Stochastic-Deterministic Time-Dependent Density Functional Theory: Application to Stopping Power of Warm Dense Carbon
• Unravelling the nonlinear ideal density response of many-body systems
• Averaging over atom snapshots in linear-response TDDFT of disordered systems: A case study of warm dense hydrogen
• Ion Modes in Dense Ionized Plasmas through Non-Adiabatic Molecular Dynamics
• Momentum distribution of the Uniform Electron Gas at finite temperature: Effects of spin-polarization
• Collisional stopping power of ions in warm dense matter
• A Machine-Learning Surrogate Model for ab initio Electronic Correlations at Extreme Conditions
• Nonlinear electronic density response of the warm dense electron gas: multiple perturbations and mode coupling