Consistent approach for electrical resistivity within Ziman's theory from solid state to hot dense plasma: Application to aluminum

Wetta, Nadine; Pain, Jean‐Christophe

doi:10.1103/physreve.102.053209

Cited by 17 publications

(32 citation statements)

References 75 publications

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“…Therefore, the qLFP method, while successful over a wide range of temperatures, still breaks down for sufficiently degenerate plasmas, in agreement with the above-mentioned considerations by Daligault (2017Daligault ( , 2018. In addition, the method may fail in the case of very strongly coupled Coulomb plasmas, where an accurate ion structure factor is needed to grasp the long-range order effects (Baiko et al 1998;Wetta & Pain 2020).…”

Section: Suppression Of Opacities In Partially Degenerate Plasmasmentioning

confidence: 58%

Electron conduction opacities at the transition between moderate and strong degeneracy: Uncertainties and impacts on stellar models

Cassisi

Potekhin

Salaris

et al. 2021

A&A

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Electron conduction opacities are one of the main physics inputs for the calculation of low- and intermediate-mass stellar models. A critical question considers how to devise a bridge when calculating both moderate and strong degeneracy, which are necessarily performed adopting different methods. The density-temperature regime at the boundary between moderate and strong degeneracy is, in fact, crucial for modelling the helium cores of red giant branch stars and the hydrogen-helium envelopes of white dwarfs. Prompted by newly published, improved calculations of electron thermal conductivities and opacities for moderate degeneracy, we study different, physically motivated prescriptions to bridge these new computations with well-established results in the regime of strong degeneracy. We find that these varied prescriptions have a sizable impact on the predicted He-core masses at the He-flash (up to 0.01 M⊙ for initial total masses far from the transition to non-degenerate He-cores and up to ∼0.04 M⊙ for masses around the transition), the tip of the red giant branch (up to ∼0.1 mag), and the zero-age horizontal branch luminosities (up to 0.03 dex for masses far from the transition and up to ∼0.2 dex around the transition), and white dwarf cooling times (up to 40–45% at high luminosities, and up to ∼25% at low luminosities). Current empirical constraints on the tip of the red giant branch and the zero age horizontal branch absolute magnitudes do not yet allow for the definitive exclusion of any of these alternative options for the conductive opacities. Tests against observations of slowly-cooling faint WDs in old stellar populations will need to be performed to see whether they are capable of setting some more stringent constraints on bridging calculations of conductive opacities for moderate and strong degeneracy.

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Section: Suppression Of Opacities In Partially Degenerate Plasmasmentioning

confidence: 58%

Electron conduction opacities at the transition between moderate and strong degeneracy: Uncertainties and impacts on stellar models

Cassisi

Potekhin

Salaris

et al. 2021

A&A

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“…As we will show later, using the KSDT functional, our results are close to QMD simulations based on functionals at the same LDA level. We also assumed the persistence of long-range order in the liquid and therefore applied the following correction to Ziman's resistivity [1]…”

Section: Ziman Formula and The Average-atom Modelmentioning

confidence: 99%

“…First, Z * can be identified to the total number of continuum electrons within Local-Density Approximation (LDA): Perdew-Zunger (PZ) [22], in the framework of the Generalized Gradient Approximation (GGA): Perdew-Burke-Ernzerhof (PBE) [23] and Heyd-Scuseria-Ernzerhof (HSE) [24]. Red line: our work [1]. Other lines: other Average-Atom results: Perrot and Dharmawardana [13], Faussurier and Blancard [14], approaches based on the mean-force scattering concept (Shaffer and Starrett [16], Sperling et al The impact of the exchange-correlation functional on aluminum's dc conductivity at solid density ρ 0 = 2.7 g/cm 3 is illustrated by the black curves (PDW: Perrot-Dharma-wardana [25,26], KS: Kohn-Sham [27]), that of the ion charge Z * by the blue line, and the impact of the ionic structure factor S(k) (OCP: One-Component Plasma, Rinker: Equation ( 28)) by the green ones.…”

Section: Effect Of Mean Ionization On DC Conductivity Within Ziman's ...mentioning

confidence: 99%

“…Recently, we presented an approach allowing for a consistent calculation of electrical conductivity of dense matter from the solid state to the hot plasma. The formalism relies on a unified procedure, consisting in dropping elastic scattering contributions to solid's and liquid's structure factors in the framework of the Ziman theory [1]. The solid's structure factor was computed using a multi-phonon expansion.…”

Section: Introductionmentioning

confidence: 99%

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Issues in the calculations of dc conductivity of warm dense aluminum

Wetta¹,

Pain²

2022

Preprint

Self Cite

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In the Ziman-Evans formulation, the electrical resistivity involves several quantities like the plasma mean ionization and chemical potential, the electron-ion scattering cross-section, the ion-ion structure factor, and the derivative of the Fermi distribution with respect to electron energy. Therefore, in order to make significant progress while comparing different models or analyzing experimental measurements, it is important to try to get insight into such partial physical quantities. In the present work, we propose to investigate the sensitivity of the resistivity to the different physical quantities required for its computation.

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“…[ 18 ] These approaches are based on the general Average Atom Model (AAM), which is widely used for the study of dense plasma states. [ 19,20 ] In ref. [18], the mean ion charge < Z ion > has been calculated in addition to the other data.…”

Section: Introductionmentioning

confidence: 99%

Calculations of the thermophysical properties of low‐temperature Pb plasma at low densities

Apfelbaum

2021

Contributions to Plasma Physics

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The pressure, internal energy, and electronic transport coefficients of low-temperature Pb plasma were calculated at the temperatures 10-100 kK by means of an earlier developed model (E. M. Apfelbaum, Contrib. Plasma Phys. 2019, 59, e201800148). The plasma composition and thermodynamics were obtained using a chemical approach. The electronic transport coefficients were calculated within the relaxation time approximation with the new accurate momentum transfer cross-section electron-atom. The results of the present calculations have been compared with the new measurement data, obtained at relatively low densities, reaching 0.125 of the value in solid state, which corresponds to the area, where the model can be applied correctly. The good agreement between the calculations and measurements was obtained for both the pressure and the electrical conductivity.

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Consistent approach for electrical resistivity within Ziman's theory from solid state to hot dense plasma: Application to aluminum

Cited by 17 publications

References 75 publications

Electron conduction opacities at the transition between moderate and strong degeneracy: Uncertainties and impacts on stellar models

Electron conduction opacities at the transition between moderate and strong degeneracy: Uncertainties and impacts on stellar models

Issues in the calculations of dc conductivity of warm dense aluminum

Calculations of the thermophysical properties of low‐temperature Pb plasma at low densities

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