Behavior of the coupling parameter under isochoric heating in a high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math>plasma

Clérouin, Jean; Robert, G.; Arnault, Philippe; Kress, Joel D.; Collins, L. A.

doi:10.1103/physreve.87.061101

Cited by 34 publications

(33 citation statements)

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“…For pure repulsive systems, an adjustment with respect to can accurately reproduce the closest approach distance, the intensity of the main peak, and the location of the first minimum. This procedure defines an effective OCP model equivalent to the actual system [23]. From the temperature and the density, this determination of the effective coupling gives an estimation of the effective average charge Q.…”

Section: Introductionmentioning

confidence: 99%

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Thomas-FermiZ-scaling laws and coupling stabilization for plasmas

et al. 2013

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Extending the well-known Thomas-Fermi Z-scaling laws to the Coulomb coupling parameter, we investigate the stabilization of the ionic coupling in isochoric heating [Clérouin et al., Phys. Rev. E 87, 061101 (2013)]. This stabilization is restricted to a domain in atomic number Z, temperature, and density, including strong limitations on high couplings, that can only be obtained for high-Z elements. Contact is made with recent isochoric heating experiments. The consequences for corresponding states with respect to ionic coupling are also quantified via orbital free molecular dynamics simulations. This opens avenues for future isochoric heating experiments.

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Section: Introductionmentioning

confidence: 99%

“…In this approach, the effective ionization and corresponding effective OCP constitute a coarse-grained description of hot dense plasmas. Interestingly, the effective OCP approach leads also to reasonably accurate estimations of the transport coefficients of plasmas such as diffusion and viscosity [23,24].…”

Section: Introductionmentioning

confidence: 99%

Thomas-FermiZ-scaling laws and coupling stabilization for plasmas

et al. 2013

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“…This prescription defines an effective OCP coupling parameter [20], Γ ef f , and hence an effective ionization state Q. This procedure has been successfully used in a recent study of isochorically heated dense tungsten, exhibiting the so-called Γ-plateau feature [21,22].…”

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Evidence for out-of-equilibrium states in warm dense matter probed by x-ray Thomson scattering

et al. 2015

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A recent and unexpected discrepancy between ab initio simulations and the interpretation of a laser shock experiment on aluminum, probed by X-ray Thomson scattering (XRTS), is addressed.The ion-ion structure factor deduced from the XRTS elastic peak (ion feature) is only compatible with a strongly coupled out-of-equilibrium state. Orbital free molecular dynamics simulations with ions colder than the electrons are employed to interpret the experiment. The relevance of decoupled temperatures for ions and electrons is discussed. The possibility that it mimics a transient, or metastable, out-of-equilibrium state after melting is also suggested.

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“…Significant efforts have been made at zero temperature in developing advanced orbital-free functionals with high quality results [14][15][16][17][18][19][20][21]. Though without analogous efforts, in recent years the orbital-free approach at finite temperature has gained attention, with most results being for hot dense systems where the venerable ThomasFermi approximation is employed for F s [22][23][24]. The work of Perrot offered a density gradient correction to Thomas-Fermi that improves results moderately [25,26].…”

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Fast and Accurate Quantum Molecular Dynamics of Dense Plasmas Across Temperature Regimes

Sjostrom

Daligault

2014

Phys. Rev. Lett.

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We have developed and implemented a new quantum molecular dynamics approximation that allows fast and accurate simulations of dense plasmas from cold to hot conditions. The method is based on a carefully designed orbital-free implementation of density functional theory (DFT). The results for hydrogen and aluminum are in very good agreement with Kohn-Sham (orbital-based) DFT and path integral Monte Carlo (PIMC) for microscopic features such as the electron density as well as equation of state. The present approach does not scale with temperature and hence extends to higher temperatures than is accessible in Kohn-Sham method and lower temperatures than is accessible by PIMC, while being significantly less computationally expensive than either of those two methods.A significant challenge of high energy density physics is the determination of the fundamental properties of plasmas (e.g. equation of state, transport properties) over a wide range of temperatures and densities [1,2]. Systems of particular focus include warm dense matter [3], inertial confinement fusion, notably the compression pathway to ignition, and astrophysical plasmas. Two methods have emerged as standards for such calculations which have yielded quality results. Those are Kohn-Sham density functional theory based molecular dynamics [4-6] and path integral Monte Carlo [7,8]. Due to the nature of the method, PIMC becomes prohibitive as the temperature is decreased and Kohn-Sham DFT becomes prohibitive with increasing temperature as the number of required orbitals increases with temperature and in general the method scales as the cube of the number of orbitals. It is possible to find the region of overlap for these calculations, but such a region is generally difficult for both methods [8,9]. In this letter we develop and implement an orbital-free DFT formulation which provides accuracy at the level of Kohn-Sham DFT and PIMC while spanning from low to high temperatures, without any scaling with temperature and at significantly lower computational cost than the other two methods.In DFT the fundamental quantity is the free energy, which is minimized to find the electron density. For a given ionic configuration the free energy is a functional of the electron density, n, and is given by [10]

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Behavior of the coupling parameter under isochoric heating in a high-Zplasma

Cited by 34 publications

References 24 publications

Thomas-FermiZ-scaling laws and coupling stabilization for plasmas

Thomas-FermiZ-scaling laws and coupling stabilization for plasmas

Evidence for out-of-equilibrium states in warm dense matter probed by x-ray Thomson scattering

Fast and Accurate Quantum Molecular Dynamics of Dense Plasmas Across Temperature Regimes

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