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arXiv physics/0409143physics.plasm-ph
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强耦合等离子体的统计热力学

Statistical thermodynamics of strongly coupled plasma

Abdelhamid Khalfaoui, Djamila Bennaceur-Doumaz

摘要:

为了分析简并等离子体固有的非理想性,发展了一种量子集体方法。从第一性原理导出了部分简并电子与强耦合离子系统的热力学函数。该模型考虑了能量本征值i)热平移粒子运动,ii)随机集体电子和离子运动,和iii)静态库仑相互作用的电子和离子在其振荡平衡位置的能量。这些统计热力学计算导致简单的解析表达式的内能以及状态方程(EOS)。引入了等离子体振荡高频分支的色散关系,以考虑部分简并特性,从而量化温度有限性对部分简并等离子体热力学性质的影响。目前的结果是在良好的定量协议与现有的模型。后者主要是基于数值实验,而在本模型中,更多的物理洞察力明确规定。这对热核聚变耦合等离子体的理论知识以及天体物理学的兴趣作出了贡献。

英文摘要:

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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