Stopping power for a charged particle moving through three-dimensional nonideal finite-temperature electron gases

Zhang, Ya; Song, Yuan-Hong; Wang, You‐Nian

doi:10.1063/1.3600533

Cited by 8 publications

(6 citation statements)

References 30 publications

(33 reference statements)

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“…The projectile position is shown as a green triangle. We see the electron wake, predicted in HEG, is significantly distorted by the background atoms [68,69].…”

Section: Theory Stopping Power Modelsmentioning

confidence: 78%

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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“…The projectile position is shown as a green triangle. We see the electron wake, predicted in HEG, is significantly distorted by the background atoms [68,69].…”

Section: Theory Stopping Power Modelsmentioning

confidence: 78%

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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“…In what follows the frictional coefficient is obtained from our previous work. 28 We take the incident particle as a proton and assume that the charged particle is projected from z ¼ 0 at t ¼ 0. For future use a dimensionless variable r 0 ¼ ð3Z i =4pn 0 a 3 B Þ 1=3 is employed as a function of the EG density in equilibrium n 0 and the atomic number Z i .…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In order to compare the wake potentials between nonlinear and linear QHD methods, we briefly describe the linearized wake potential by adopting our previous work. 28 In our previous work, by employing u e (R, t) ¼ u e1 (R, t) and n e (R, t) ¼ n 0 þ n e1 (R, t) with the 3D coordinate vector R, the linearized QHD equations about n e1 (R, t) and u e1 (R, t) can be obtained, where u e1 (R, t) and n e1 (R, t) represent the firstorder perturbed values of velocity and density. With a timespace Fourier transform in the linearized equations, then after a process of simplifying and arranging the equations, a 3D linear wake potential in cylindrical coordinate system with R ¼ {q, u, z} is given as…”

Section: Nonlinear Quantum Hydrodynamic Modelmentioning

confidence: 97%

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Nonlinear wake potential and stopping power for charged particles interacting with a one-dimensional electron gas

2011

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We examine the interaction of particles with a one-dimensional electron gas by employing the quantum hydrodynamic (QHD) theory, where the nonlinear wake potential and stopping power have been numerically calculated by solving the nonlinear QHD equations with flux corrected transport (FCT) numerical method. In our calculation, the nonlinear effects on the wake potential and stopping power are clearly observed and presented. In the moving coordinate, comparisons are made between the nonlinear and linear wake potentials, in which the maximum values are larger and more oscillations appear behind the projectile in a nonlinear case in contrast to that in a linear case. The nonlinear wake potentials show a clear dependence on time, that is, the FCT algorithm solves the nonlinear QHD equations by time integration starting from the initial time. It is shown that the nonlinear effects can enhance the wake potential and stopping power for particle velocities greater than a few Bohr velocities.

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“…(2) and (3) are the frictional forces with γ and τ w obtained from our previous work (Zhang et al, 2011a).…”

Section: Quantum Hydrodynamic Modelmentioning

confidence: 99%

Two-dimensional quantum hydrodynamic model for the heating of a solid target using a Gaussian cluster

et al. 2012

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This paper presents numerical simulations to study the heating of a two-dimensional (2D) solid target under an ion cluster interaction. 2D quantum hydrodynamic (QHD) model is employed for the heating of solid target to warm dense matter on a picosecond time scale. A Gaussian cluster is used to uniformly heat the solid target to a temperature of several eV. The density and temperature of the target are calculated by a full self-consistent treatment of the QHD formalisms and the Poisson's equation. The technique described in this paper provides a method for creating uniformly heated strongly coupled plasma states.

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Stopping power for a charged particle moving through three-dimensional nonideal finite-temperature electron gases

Cited by 8 publications

References 30 publications

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

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

Nonlinear wake potential and stopping power for charged particles interacting with a one-dimensional electron gas

Two-dimensional quantum hydrodynamic model for the heating of a solid target using a Gaussian cluster

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