Temperature Behavior of the Thomas-Fermi Statistical Model for Atoms

Latter, Richard

doi:10.1103/physrev.99.1854

Cited by 161 publications

(54 citation statements)

References 7 publications

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“…For the KE, the choice is physically motivated by the fact that the high-pressure and/or high-temperature limit for a WDM system is Thomas-Fermi. This leads to finitetemperature Thomas-Fermi (FTTF) 75 T 0 = τ 0 dr by itself, or with some fraction of von Weizsäcker contribution (in its zero-temperature form) T W = τ W dr, with…”

Section: Comparison With Approximate Functionalsmentioning

confidence: 99%

Temperature-dependent behavior of confined many-electron systems in the Hartree-Fock approximation

2012

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Many-electron systems confined at substantial finite temperatures and densities present a major challenge to density functional theory. In particular, there is comparatively little systematic knowledge about the behavior of free-energy density functionals for temperatures and pressures of interest, for example, in the study of warm dense matter. As with ground-state functionals, development of approximate free-energy functionals is faced with significant needs for reliable assessment and calibration data. Here we address, in part, this need for detailed results on well-characterized systems. We present results on a comparatively simple, well-defined, computationally feasible but previously unexplored model, the thermal Hartree-Fock approximation. We discuss the main technical tasks (defining a suitable basis and evaluation of the required matrix elements) and give an illustrative initial application which probes both the content of the model and the solution techniques: a system of eight one-electron atoms with nuclei at fixed, arbitrary positions in a hard-walled box. Even this simple system produces physical behavior different from that produced by simple ground state density functionals used at finite temperature (a common approximation in the study of WDM).

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Section: Comparison With Approximate Functionalsmentioning

confidence: 99%

Temperature-dependent behavior of confined many-electron systems in the Hartree-Fock approximation

2012

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“…При Т^> 10' К и твердотельных плотностях необходимо учесть также вклад равновесного излучения. Уравнения (4.1) -(4.2) обладают свойством автомодельности по заряду ядра: после введения переменных ZV, они не содержат Z явно и их решение пригодно для любого элемента, что упрощает использование численных расчетов по модели Томаса -Фер-ми 58 …”

Section: квазиклассическая модель веществаunclassified

Model equations of state

Bushman¹,

Фортов²

1983

Uspekhi Fizicheskikh Nauk

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“…The contribution of the bound electrons to the stopping power is calculated using the Bethe theory (Bethe 1936), taking into account the difference in the characteristic excitation energies between a neutral atom and an ion in a plasma via the finite temperature Thomas-Fermi model (Latter 1955). The contribution of the free electrons to the stopping power in the Gorgon code, is calculated using the dielectric function for a plasma within the random phase approximation, and by the employment of linear response theory.…”

Section: The Microscopic Theory Of the Ion Energy Deposition In Hot Amentioning

confidence: 99%

Plasma induced energy deposition and radiation transport effects in ion beam heated plane metal targets and analytic solutions of the non-linear radiation conduction equation

Long

Tahir²

1986

Laser Part. Beams

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The effects of microscopic energy deposition in hot, dense plasmas and radiation transport in plasmas, on the interaction of ion beams with plane metal targets are investigated in this paper. In order to do this we analyze the plasma dynamics of ablatively accelerated plane metal foils. The physical analysis of these results is achieved by the derivation of solutions of the non-linear radiation conduction equation with boundary temperatures which increase in time. We illustrate, by means of numerical simulations, how range shortening due to plasma effects such as increased energy loss to excited electrons and an increased effective charge due to a reduction in the recombination rate, may be compensated for by radiation transport. The effect of radiation transport and detailed microscopic energy deposition on ion beam implosions, including hydrodynamic instability, is discussed.

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Temperature Behavior of the Thomas-Fermi Statistical Model for Atoms

Cited by 161 publications

References 7 publications

Temperature-dependent behavior of confined many-electron systems in the Hartree-Fock approximation

Temperature-dependent behavior of confined many-electron systems in the Hartree-Fock approximation

Model equations of state

Plasma induced energy deposition and radiation transport effects in ion beam heated plane metal targets and analytic solutions of the non-linear radiation conduction equation

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