A simple formulation and solution strategy of the Saha equation for ideal and nonideal plasmas

Zaghloul, Mofreh R.; Bourham, Mohamed; Doster, J. Michael

doi:10.1088/0022-3727/33/8/314

Cited by 57 publications

(42 citation statements)

References 16 publications

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“…The equation of state includes contributions from ions, electrons, and radiation, with the degeneracy effects taken into account as in Paczyński (1983). We trace the ionization fractions of hydrogen and helium solving the Saha equations in the non-degenerate approximation as proposed in Zaghloul et al (2000). The numerical grid consists of 1000 cells and is identical to the one used in Morozova et al (2015Morozova et al ( , 2016.…”

Section: Numerical Setupmentioning

confidence: 99%

Unifying Type II Supernova Light Curves with Dense Circumstellar Material

Morozova

Piro

Valenti

2017

ApJ

189

247

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A longstanding problem in the study of supernovae (SNe) has been the relationship between the TypeIIP and TypeIIL subclasses. Whether they come from distinct progenitors or they are from similar stars with some property that smoothly transitions from one class to another has been the subject of much debate. Here,using onedimensional radiation-hydrodynamic SN models, we showthat the multi-band light curves of SNe IIL are well fit by ordinary red supergiants surrounded by dense circumstellar material (CSM). The inferred extent of this material, coupled with a typical wind velocity of 10 100 km s 1 --, suggests enhanced activity by these stars during the last months to ∼years of their lives, which may be connected with advanced stages of nuclear burning. Furthermore, we find that,even for more plateau-like SNe,dense CSM provides a better fit to the first 20 days of their light curves, indicating that the presence of such material may be more widespread than previously appreciated. Here we choose to model the CSM with a wind-like density profile, but it is unclear whether this just generally represents some other mass distribution, such as a recent mass ejection, thick disk, or even inflated envelope material. Better understanding the exact geometry and density distribution of this material will be an important question for future studies.

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Section: Numerical Setupmentioning

confidence: 99%

Unifying Type II Supernova Light Curves with Dense Circumstellar Material

Morozova

Piro

Valenti

2017

ApJ

189

247

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“…A simple formulation and solution strategy for this system of equations has been presented in Ref. 25. In addition to its simplicity and accuracy, this method of solution showed no numerical instabilities, overcame restrictions imposed on other competitive techniques and toke into account all possible formulas for nonideality corrections.…”

Section: A Ionization Equilibrium and The Saha Equationsmentioning

confidence: 99%

“…25,26 The total electronic partition function, U r , corresponding to internal degrees of freedom, for an isolated atom-ion, is given by…”

Section: A Ionization Equilibrium and The Saha Equationsmentioning

confidence: 99%

A consistent model for the equilibrium thermodynamic functions of partially ionized flibe plasma with Coulomb corrections

Zaghloul

2003

Physics of Plasmas

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Flibe (2LiF–BeF2) is a molten salt that has been chosen as the coolant and breeding material in many design studies of the inertial confinement fusion (ICF) chamber. Flibe plasmas are to be generated in the ICF chamber in a wide range of temperatures and densities. These plasmas are more complex than the plasma of any single chemical species. Nevertheless, the composition and thermodynamic properties of the resulting flibe plasmas are needed for the gas dynamics calculations and the determination of other design parameters in the ICF chamber. In this paper, a simple consistent model for determining the detailed plasma composition and thermodynamic functions of high-temperature, fully dissociated and partially ionized flibe gas is presented and used to calculate different thermodynamic properties of interest to fusion applications. The computed properties include the average ionization state; kinetic pressure; internal energy; specific heats; adiabatic exponent, as well as the sound speed. The presented results are computed under the assumptions of local thermodynamic equilibrium (LTE) and electro-neutrality. A criterion for the validity of the LTE assumption is presented and applied to the computed results. Other attempts in the literature are assessed with their implied inaccuracies pointed out and discussed.

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“…To solve the gas dynamics equations, related equation of state (EOS) data is needed, which is developed based on the electron number density obtained by solving the Saha equation [13][14].…”

Section: Modelmentioning

confidence: 99%

Modeling of picosecond laser-induced plasma amplification inside a microhole and an implied novel technology to drill microholes with varying diameters with depth

Dabir-Moghaddam

Tao²,

et al. 2016

Manufacturing Letters

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Microholes with varying diameters at different depths are very desirable in various important applications. However, it is very challenging to produce microholes with varying diameters when the variation is in a complicated way and/or when the hole diameter is very small. This paper presents physics-based modeling work on the interactions among a picosecond (ps) laser pulse, a pre-existing plasma plume inside a microhole, and the hole sidewall. The modeling work implies the potential feasibility of a novel dual-pulse laser ablation and plasma amplification (LAPA) process for drilling microholes with varying diameters at different depths.

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A simple formulation and solution strategy of the Saha equation for ideal and nonideal plasmas

Cited by 57 publications

References 16 publications

Unifying Type II Supernova Light Curves with Dense Circumstellar Material

Unifying Type II Supernova Light Curves with Dense Circumstellar Material

A consistent model for the equilibrium thermodynamic functions of partially ionized flibe plasma with Coulomb corrections

Modeling of picosecond laser-induced plasma amplification inside a microhole and an implied novel technology to drill microholes with varying diameters with depth

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