Dielectric function of dense plasmas, their stopping power, and sum rules

Arkhipov, Yu. V.; Ashikbayeva, A. B.; Askaruly, A.; Davletov, A. E.; Ткаченко, И. М.

doi:10.1103/physreve.90.053102

Cited by 40 publications

(39 citation statements)

References 85 publications

(186 reference statements)

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“…Extension of this model to magnetized plasmas, quantum systems [46], nonlinear problems, and mixtures is left for future work.…”

Section: Discussionmentioning

confidence: 99%

Generalized hydrodynamics model for strongly coupled plasmas

Diaw

2015

Phys. Rev. E

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Beginning with the exact equations of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, we obtain the density, momentum, and stress tensor-moment equations. We close the moment equations with two closures, one that guarantees an equilibrium state given by density-functional theory and another that includes collisions in the relaxation of the stress tensor. The introduction of a density functional-theory closure ensures self-consistency in the equation-of-state properties of the plasma (ideal and excess pressure, electric fields, and correlations). The resulting generalized hydrodynamics thus includes all impacts of Coulomb coupling, viscous damping, and the high-frequency (viscoelastic) response. We compare our results with those of several known models, including generalized hydrodynamic theory and models obtained using the Singwi-Tosi-Land-Sjolander approximation and the quasilocalized charge approximation. We find that the viscoelastic response, including both the high-frequency elastic generalization and viscous wave damping, is important for correctly describing ion-acoustic waves. We illustrate this result by considering three very different systems: ultracold plasmas, dusty plasmas, and dense plasmas. The new model is validated by comparing its results with those of the current autocorrelation function obtained from molecular-dynamics simulations of Yukawa plasmas, and the agreement is excellent. Generalizations of this model to mixtures and quantum systems should be straightforward.

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“…Extension of this model to magnetized plasmas, quantum systems [46], nonlinear problems, and mixtures is left for future work.…”

Section: Discussionmentioning

confidence: 99%

Generalized hydrodynamics model for strongly coupled plasmas

Diaw

2015

Phys. Rev. E

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“…Notice that due to the Cauchy-Schwarz inequality [14,19], ω 2 1 ðq; κÞ < ω 2 2 ðq; κÞ. The Feynman-like [20] solution (4) describes nondecaying collective modes in the system: a diffusive one at ω ¼ 0, as well as an optical (plasma or Langmuir-Bohm-Gross) mode at ω L ¼ ω 2 ðq; κ ¼ 0Þ in the COCPs and a quasiacoustic mode in the YOCPs with the sound velocity…”

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confidence: 99%

Direct Determination of Dynamic Properties of Coulomb and Yukawa Classical One-Component Plasmas

et al. 2017

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Dynamic characteristics of strongly coupled classical one-component Coulomb and Yukawa plasmas are obtained within the nonperturbative model-free moment approach without any data input from simulations so that the dynamic structure factor (DSF) satisfies the first three nonvanishing sum rules automatically. The DSF, dispersion, decay, sound speed, and other characteristics of the collective modes are determined using exclusively the static structure factor calculated from various theoretical approaches including the hypernetted chain approximation. A good quantitative agreement with molecular dynamics simulation data is achieved. . SCPs and warm dense matter are highly relevant model systems for inertial fusion devices [6]. The common property of SCPs is that the interparticle potential energy dominates over the thermal energy. Many of the above-mentioned systems have been analyzed and their characteristic effects became understood within the framework of a seminal model system, the one-component plasma (OCP) model that considers explicitly only one type of charged species, while the presence and the effects of other charged species are expressed by the interaction potential φðrÞ.SCPs, as many-body dynamical systems, exhibit various collective excitations, of which the properties have been investigated both via theoretical approaches and numerical simulations. Numerical approaches provide direct access to the central quantity of collective effects, the dynamic structure factor (DSF). The most successful theoretical approach capable of describing strongly coupled plasmas, the quasilocalized charge approximation [7], is able to predict [from the static pair distribution function (PDF)] the dispersion relations of the collective modes; however, it cannot predict the lifetime (decay) of the modes and the form of the DSF itself. Here we demonstrate that the method of moments theoretical approach [8] is able to predict the form and structure of the DSF of the OCP, based on static data only, i.e., the PDF or the static structure factor (SSF). As both the PDF and the SSF can be obtained theoretically as well [e.g., within the hypernetted chain (HNC) approximation and its modifications including the bridge function] the present approach provides a purely theoretical access to the full DSF and a full quantitative description of the collective modes, including their decay and other characteristics, without the necessity to use simulation data as input, as it was done in [9,10].The moment approach is nonperturbative, nonparametric, and model free. Thus it is perfectly applicable to a broad class of fluids characterized by response functions like semidegenerate multicomponent Coulomb systems or even simple liquids. Because of the rigorous mathematical background, the method is based on automatic satisfaction of sum rules and other exact relations. An empirical guidance is plugged directly into the intermediate step of theoretical computations, thus closing the approach and permitting us, in addition, to determine the dynamic...

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“…[19][20][21] and references therein. An improved dielectric function can also be obtained on the basis of the method of moments [22,23]. A reliable dynamical collision frequency can be computed using molecular dynamics simulations [24,25].…”

Section: Resultsmentioning

confidence: 99%