Equation of state, transport coefficients, and stopping power of dense plasmas from the average-atom model self-consistent approach for astrophysical and laboratory plasmas

Abstract

Calculations of equation of state, transport coefficients, and stopping power of dense plasmas are presented. Theoretical results have been obtained using the first-principles average-atom model self-consistent approach for astrophysical and laboratory plasmas (SCAALP) based on the finite-temperature density-functional theory and the Gibbs–Bogolyubov inequality. Numerical results, comparisons with molecular dynamics, and Monte Carlo simulations and experiments are presented and discussed in the high energy density physics domain including part of the warm dense matter regime. Results show that the average-atom model SCAALP is well suited to describe thermodynamic and transport properties for a wide range of high energy density physics applications.

Stopping of Deuterium in Warm Dense Deuterium from Ehrenfest Time‐Dependent Density Functional Theory

“…[29] weighted by a local electronic density obtained from the nonrelativistic self-consistent field code Muze [30] following the approach set out in Refs. [31,32]. While this approach has shown good agreement with recent experiments measuring high-velocity stopping in warm dense www.cpp-journal.org…”

Self-Consistent Simulation of Transport and Energy Deposition of Intense Laser-Accelerated Proton Beams in Solid-Density Matter

“…In order to benchmark this new implementation, we compared our simulation with a recent quantum theoretical model (SCAALP) [26,27]. the SCAALP model, the total proton stopping power is calculated using the local-density and average-atom approximations, which take into account the inhomogeneous total electron density by using sophisticated homogeneous stopping power values locally in an assumed spherically symmetric confined ion.…”

“…When the target temperature rises, more free electrons contribute to stopping power while the number of bound electrons significantly drops. Since the free electron stopping power contribution generally has a peak value when the beam proton velocity is near the background electron thermal velocity in the target [26], the peak of proton stopping power shifts to higher energy ranges when the target temperature increases. Correspondingly, the Bragg peak of the proton energy deposition curve obtained from the simulations using a single test particle with energy 2 MeV is flattened with increasing T e , shown in Fig.…”

Measurement of Charged-Particle Stopping in Warm Dense Plasma

“…dE=dx is enhanced by the long-range nature of stopping on the plasma (free) electrons relative to the atomic (bound) electrons. There are three common theoretical techniques for treating the partially ionized material in the warm subject plasma: either an ad hoc combination of independent bound-and free-electron components [49,50], or using an inhomogeneous WDM theory such as the average-atom local-density approximation (AA-LDA) model [51,52], or with a Bethe-style effective ionization potential.…”