dorsal/arxiv
View SchemaStatistical thermodynamics of strongly coupled plasma
| Authors | Abdelhamid Khalfaoui, Djamila Bennaceur-Doumaz |
|---|---|
| Categories | |
| ArXiv ID | physics/0409143 |
| URL | https://arxiv.org/abs/physics/0409143 |
Abstract
To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model takes into account the energy eigenvalues of i) the thermal translational particle motions, ii) the random collective electron and ion motions, and iii) the static Coulomb interaction energy of the electrons and ions in their oscillatory equilibrium positions. These statistical thermodynamic calculations lead to simple analytical expressions for internal energy as well as an equation of state (EOS). A dispersion relation for the high frequency branch of the plasma oscillations is introduced to take into account the partial degeneracy character and thereby to quantify temperature finiteness effects on thermodynamic properties of a partially degenerate plasma. The present results are in good quantitative agreement with the existing models. These latter being based mainly on numerical experiments while in the present model more physical insight is explicitly stated. This makes a contribution to the theoretical knowledge of coupled plasma for thermonuclear fusion as well as of astrophysical interests.
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"abstract": "To analyze nonidealities inherent to degenerate plasma, a quantum collective\napproach is developed. Thermodynamic functions of a system of partially\ndegenerate electrons and strongly coupled ions are derived from first\nprinciples. The model takes into account the energy eigenvalues of i) the\nthermal translational particle motions, ii) the random collective electron and\nion motions, and iii) the static Coulomb interaction energy of the electrons\nand ions in their oscillatory equilibrium positions. These statistical\nthermodynamic calculations lead to simple analytical expressions for internal\nenergy as well as an equation of state (EOS). A dispersion relation for the\nhigh frequency branch of the plasma oscillations is introduced to take into\naccount the partial degeneracy character and thereby to quantify temperature\nfiniteness effects on thermodynamic properties of a partially degenerate\nplasma. The present results are in good quantitative agreement with the\nexisting models. These latter being based mainly on numerical experiments while\nin the present model more physical insight is explicitly stated. This makes a\ncontribution to the theoretical knowledge of coupled plasma for thermonuclear\nfusion as well as of astrophysical interests.",
"arxiv_id": "physics/0409143",
"authors": [
"Abdelhamid Khalfaoui",
"Djamila Bennaceur-Doumaz"
],
"categories": [
"physics.plasm-ph"
],
"title": "Statistical thermodynamics of strongly coupled plasma",
"url": "https://arxiv.org/abs/physics/0409143"
},
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