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Quantum kinetic theories in degenerate plasmas

机译：退化等离子体中量子动力学理论

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In this review we give an overview of the recent work on quantum kinetic theories of plasmas. We focus, in particular, on the case where the electrons are fully degenerate. For such systems, perturbation methods using the distribution function can be problematic. Instead we present a model that considers the dynamics of the Fermi surface. The advantage of this model is that, even though the value of the distribution function can be greatly perturbed outside the equilibrium Fermi surface, deformation of the Fermi surface is small up to very large amplitudes. Next, we investigate the short-scale dynamics for which the Wigner-Moyal equation replaces the Vlasov equation. In particular, we study wave-particle interaction, and deduce that new types of wave damping can occur due to the simultaneous absorption (or emission) of multiple wave quanta. Finally, we consider exchange effects within a quantum kinetic formalism to find a model that is more accurate than those using exchange potentials from density functional theory. We deduce the exchange corrections to the dispersion relations for Langmuir and ion-acoustic waves. In comparison to results based on exchange potentials deduced from density functional theory we find that the latter models are reasonably accurate for Langmuir waves, but rather inaccurate for ion acoustic waves.
机译：本文综述了等离子体量子动力学理论的最新研究进展。我们特别关注电子完全简并的情况。对于这样的系统，使用分布函数的摄动方法可能会有问题。相反，我们提出了一个考虑费米表面动力学的模型。该模型的优点是，即使分布函数的值在平衡费米表面外会受到很大的扰动，费米表面的变形也很小，直到振幅非常大。接下来，我们研究了用Wigner-Moyal方程代替Vlasov方程的短尺度动力学。特别是，我们研究了波粒相互作用，并推断出由于多个波量子的同时吸收（或发射），可能会出现新类型的波阻尼。最后，我们考虑在量子动力学形式主义中的交换效应，找到一个比使用密度泛函理论交换势更精确的模型。我们推导了朗缪尔和离子声波色散关系的交换修正。与基于密度泛函理论导出的交换势的结果相比，我们发现后一种模型对朗缪尔波相当准确，但对离子声波相当不准确。

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