Effect of the dynamical collision frequency on quantum wakefields

Abstract

Previous papers on the quantum wakefield around an ion moving in a dense plasma have considered the collision frequency in the static approximation. In this work, we present the results of the dynamically screened ion potential taking into account the dynamical electron–ion collision frequency. The Lenard–Balescu dynamical collision frequency and various approximations to it are considered. As a main result of our investigation for the subsonic, sonic, and supersonic regimes, we find that the frequency dependence of collisions can be safely discarded if the electronic streaming velocity (relative to an ion) is comparable to or less than the electronic Fermi velocity.

Screening of a test charge in a free‐electron gas at warm dense matter and dense non‐ideal plasma conditions

“…As a final note, we mention that the attraction between like‐charged ions is well known in situations out of equilibrium such as in streaming quantum plasmas at r s < 1. This manifests itself in wakefield effects [ 32–34,77–79 ] that are well known in many fields of plasma physics, including dusty plasmas. [ 80–82 ] The study of wakefields around a projectile in quantum plasmas was, so far, restricted to the case r s < 1, due to lack of reliable data for the dynamic local field correction at r s > 1.…”

“…The advancement of WDM and ICF research has sparked high interest in the study of screening phenomena at partially and weakly degenerate cases. [ 28–34 ] In this regime, the analytic formulas for the screened potentials were discussed using the long wavelength approximation and often neglected exchange‐correlations effects. [ 28,29,31,35,36 ] Moldabekov et al have analysed various analytical models and the quality of the long wavelength approximation in the WDM regime by comparing them to the random phase approximation (RPA) result [ 31,37 ] computed without taking the long wavelength limit as well as to data obtained taking into account electronic exchange correlation effects both in the finite temperature Singwi–Tosi–Land–Sjölander (STLS) approximation [ 38 ] and using ground‐state QMC data [ 39–41 ] for the local field correction.…”

Time‐dependent charged particle stopping in quantum plasmas: testing the G1–G2 scheme for quasi‐one‐dimensional systems

“…In that case, nonequilibrium and nonadiabatic approaches are required. This includes quantum hydrodynamics, [ 46–49 ] Bohmian dynamics, [ 50 ] and time‐dependent density functional theory (TDDFT)‐Ehrenfest simulations. [ 51–55 ] In addition, for dense fully ionized plasmas also quantum kinetic theory simulations of electron relaxation and ion stopping were performed, for example, the studies by Chapman and Gericke, Vorberger et al, Kosse et al, Scullard et al [ 56–60 ] Of particular interest in dense plasmas is the role of screening which has been predicted to play a crucial role also for nuclear fusion rates.…”

Thermodynamics of the uniform electron gas: Fermionic path integral Monte Carlo simulations in the restricted grand canonical ensemble

“…Due to the simultaneous relevance of these effects, a theoretical description of WDM is difficult. Among the actively used approaches are quantum kinetic theory, [ 23–26 ] quantum hydrodynamics, [ 27–29 ] and density functional theory (DFT) simulations. The latter, for the first time, enabled the self‐consistent simulation of realistic WDM, that includes both plasma and condensed matter phases.…”