Mermin dielectric function versus local field corrections on proton stopping in degenerate plasmas

Barriga-Carrasco, Manuel D.

doi:10.1017/s0263034608000402

Cited by 16 publications

(14 citation statements)

References 40 publications

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“…This can be done by appropriate modifications and extensions of the RPA dielectric function, see e.g. Barriga-Carrasco andPotekhin (2006, 2008). For a more advanced and omprehensive discussion of the linear response stopping power and its derivation we refer to Zwicknagel et al (1999), Zwicknagel (2000).…”

Section: The Linear Response Stopping Powermentioning

confidence: 99%

Theory and simulation of heavy ion stopping in plasma

Zwicknagel

2009

Laser Part. Beams

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The theoretical description of the energy loss of heavy ions in fully ionized matter is considered, where we focus on the many-body and plasma physics aspects of the stopping of point like projectiles with a fixed charge by free electrons, disregarding the atomic physics of the projectile and the target ions. This starts by identifying different coupling regimes for a heavy ion which passes through an electron plasma, and continues with a discussion of the available and appropriate analytical and numerical treatments of the energy loss and their applicability in these various regimes. Special attention is given to a nonlinear coupling regime with significant strong coupling effects on the projectile-target energy transfer where standard perturbative approaches cease to be valid. More advanced theoretical treatments, which are required for this regime, are presented, discussed and evaluated by comparison with simulation results.

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Section: The Linear Response Stopping Powermentioning

confidence: 99%

Theory and simulation of heavy ion stopping in plasma

Zwicknagel

2009

Laser Part. Beams

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“…The Mermin dielectric approximation can be used to approximate the effects of electron scattering by other electrons or ions. [45][46][47] Electron correlation can also be included through local field corrections, for example using the STLS [46,48] or quantum Monte-Carlo method [11].…”

Section: Theory Stopping Power Modelsmentioning

confidence: 99%

Mixed Stochastic-Deterministic Time-Dependent Density Functional Theory: Application to Stopping Power of Warm Dense Carbon

White,

Collins,

Nichols

et al. 2021

Preprint

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Warm dense matter (WMD) describes an intermediate phase, between condensed matter and classical plasmas, found in natural and man-made systems. In a laboratory setting, WDM needs to be created dynamically. It is typically laser or pulse-power generated and can be difficult to characterize experimentally. Measuring the energy loss of high energy ions, caused by a WDM target, is both a promising diagnostic and of fundamental importance to inertial confinement fusion research. However, electron coupling, degeneracy, and quantum effects limit the accuracy of easily calculable kinetic models for stopping power, while high temperatures make the traditional tools of condensed matter, e.g. Time-Dependent Density Functional Theory (TD-DFT), often intractable. We have developed a mixed stochastic-deterministic approach to TD-DFT which provides more efficient computation while maintaining the required precision for model discrimination. Recently, this approach showed significant improvement compared to models when compared to experimental energy loss measurements in WDM carbon. Here, we describe this approach and demonstrate its application to warm dense carbon stopping across a range of projectile velocities. We compare direct stopping-power calculation to approaches based on combining homogeneous electron gas response with bound electrons, with parameters extracted from our TD-DFT calculations.

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“…In this context the energy loss of ions in dense plasmas and WDM constitutes one of the key properties for the design of experiments and for the understanding of the time evolution of the plasma [12][13][14][15]. Thus, various methods have been applied to investigate the stopping power, such as molecular dynamics (MD) simulations [16,17], the binary collision approximation [12,15,17], time dependent density functional theory (TD-DFT) based MD simulations (TD-DFT-MD) [18], nonequilibrium Green functions methods [19][20][21], dielectric function approaches [22][23][24][25][26], and combinations of various methods, e.g. [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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

Moldabekov,

Dornheim,

Bonitz

et al. 2020

Preprint

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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 γ/ωpi = 0.01, where ωpi 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/kF > 2 (with kF being the usual Fermi wave number), but that a correct description of the static LFC at k/kF 1.5 is important.

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Mermin dielectric function versus local field corrections on proton stopping in degenerate plasmas

Cited by 16 publications

References 40 publications

Theory and simulation of heavy ion stopping in plasma

Theory and simulation of heavy ion stopping in plasma

Mixed Stochastic-Deterministic Time-Dependent Density Functional Theory: Application to Stopping Power of Warm Dense Carbon

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

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