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Al-Sugheir, M. K.; Ghassib, H. B.

doi:10.1023/a:1015236528424

Cited by 27 publications

(19 citation statements)

References 19 publications

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“…Figure 1 displays schematically our ε results for various κ in terms of r s at fixed temperature, T = 1000 K. ε has a "standard" shape consisting of a repulsive barrier at short range followed by an attractive well, as indicated by Eq. (22). For all κ-values, the screened Coulomb energy is somewhat higher than that for the corresponding bare Coulomb energy.…”

Section: Resultsmentioning

confidence: 80%

“…The formalism on which our computational procedure is based (SFA) has been fully described in the literature [21,22]. For convenience, a summary is given here to introduce the notation as well as some equations necessary for studying the system.…”

Section: Sfa Formalism 221 Basic Equationsmentioning

confidence: 99%

“…The implication is that not only the mean value of the spectrum is taken into account, but also the fluctuations of the spectrum around the mean value of the local-field operator [21]. Following a procedure closely related to that used for liquid 3 He [22], we obtain the final form of the long-range equation…”

Section: Sfa Formalism 221 Basic Equationsmentioning

confidence: 99%

“…In the thermodynamic limit, and going over from the summation over momentum p to integration, we obtain from (22), (27) and (31)…”

Section: Calculationsmentioning

confidence: 99%

“…In a series of papers, SFA was developed for calculating the properties of, among other systems, liquid 4 He [21], liquid 3 He [22], and spin-polarized atomic hydrogen [23]. More recently, SFA was also applied successfully to hot nuclear matter [24].…”

Section: Introductionmentioning

confidence: 99%

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A New Microscopic Calculation for the Uniform Electron Fluid

2011

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The static fluctuation approximation is applied for the first time to an electronic system. A simple model (a uniform electron fluid) is chosen to explore the applicability of static fluctuation approximation to electrons in metals. The thermodynamic properties -the internal energy per particle, the pressure, the entropy per unit volume, the heat capacity per unit volume, and the chemical potential -are calculated over a wide range of densities within the metallic-density region. Finally, the pair-correlation function for the electron fluid is evaluated. Values of this function are then tabulated for zero-interparticle separation at several densities of interest. The results of this work are found to be in good agreement with several other many-body calculations.

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Section: Resultsmentioning

confidence: 80%

Section: Sfa Formalism 221 Basic Equationsmentioning

confidence: 99%

Section: Sfa Formalism 221 Basic Equationsmentioning

confidence: 99%

“…In the thermodynamic limit, and going over from the summation over momentum p to integration, we obtain from (22), (27) and (31)…”

Section: Calculationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A New Microscopic Calculation for the Uniform Electron Fluid

2011

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Thermodynamic Properties of Low-Density $${}^{132}\hbox {Xe}$$ 132 Xe Gas in the Temperature Range 165–275 K

Akour

2018

Int J Thermophys

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Spin-Polarized 3He–HeII Mixtures in the Static Fluctuation Approximation

2006

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We have used the so-called static fluctuation approximation (SFA) to calculate the thermodynamic properties of spin-polarized 3 He-HeII mixtures at low temperature, T < 0.025 K. This approximation is based on the replacement of the square of the local-field operator with its mean value. A closed set of nonlinear integral equations is derived for spin-up and spin-down systems. This set is solved numerically by an iteration method for a realistic interhelium potential. The mean internal energy per unit volume, the pressure, the entropy per unit volume, and the specific heat per unit volume increase with increasing temperature. The mean internal energy per unit volume, the pressure increase with increasing spin polarization; while the entropy per unit volume and the specific heat per unit volume are weakly-dependent on spin polarization.

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Untitled

Cited by 27 publications

References 19 publications

A New Microscopic Calculation for the Uniform Electron Fluid

A New Microscopic Calculation for the Uniform Electron Fluid

Thermodynamic Properties of Low-Density $${}^{132}\hbox {Xe}$$ 132 Xe Gas in the Temperature Range 165–275 K

Spin-Polarized 3He–HeII Mixtures in the Static Fluctuation Approximation

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