Region of validity of the Thomas–Fermi model with quantum, exchange and shell corrections

Dyachkov, S. A.; Levashov, P. R.; Minakov, D. V.

doi:10.1088/1742-6596/774/1/012006

Cited by 1 publication

(3 citation statements)

References 13 publications

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“…These corrections for TF theory are incorporated in QSM model. [21,22,29,31,[59][60][61] For the sake of comparison, iron and sodium shock Hugoniot are plotted in Fig. 21 The shell structures are evident and the values of pressure are different owing to Z and initial solid density values.…”

Section: Results Of Computation For Hugoniot Curvementioning

confidence: 99%

“…[20][21][22][23][24][25][26] Efforts were made to develop more and more accurate detailed descriptions of ionic as well as electronic parts of EOS. [16][17][18][19][27][28][29][30][31][32] The EOS data are primarily consists of contributions from electrons and ions along with those from cold part solids, i.e., empirical calculations for pressure and energy at T = 0 K. There are separate models for calculating electronic and ionic contributions. In this paper, the EOS model is developed in comparison to electronic contributions from I-SHML model [26,33] and ionic contributions from Cowan model, whereas the cold part contributions are obtained from the scaled binding energy model (SBEM).…”

Section: Introductionmentioning

confidence: 99%

“…So, inherently, TF theory does not take into account shell description for which one needs to solve Schrodinger equation. These corrections for TF theory are incorporated in QSM model [21,22,29,31,[59][60][61]. For the sake of comparison, iron and sodium shock Hugoniot are plotted in Fig.21.…”

mentioning

confidence: 99%

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Effect of radiation on compressibility of hot dense sodium and iron plasma using improved screened hydrogenic model with l splitting

Ali¹,

Naz²,

Kouser³

et al. 2021

Chinese Phys. B

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High pressure investigations of matter involve the study of strong shock wave dynamics within the materials which gives rise to many thermal effects leading to dissociation of molecules, ionization of atoms, and radiation emission, etc. The response of materials experiencing a strong shock can be determined by its shock Hugoniot calculations which are frequently applied in numerical and experimental studies in inertial confinement fusion, laboratory astrophysical plasma, etc. These studies involve high energy density plasmas in which the radiation plays an important role in determining the energy deposition and maximum compressibility achieved by the shock within material. In this study, we present an investigation for the effect of radiation pressure on the maximum compressibility of the material using shock Hugoniot calculations. In shock Hugoniot calculations, an equation of state (EOS) is developed in which electronic contributions for EOS calculations are taken from an improved screened hydrogenic model with –l splitting (I-SHML) [High Energy Density Physics (2018) 26 48] under local thermodynamic equilibrium (LTE) conditions. The thermal ionic part calculations are adopted from the state of the art Cowan model while the cold ionic contributions are adopted from the scaled binding energy model. The Shock Hugoniot calculations are carried out for sodium and iron plasmas and our calculated results show excellent agreement with published results obtained by using either sophisticated self-consistent models or the first principle study.

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