Theory of strongly correlated charged-particle systems: Plasma turbulence and high-density electron liquids
Theory of strongly correlated charged-particle systems: Plasma turbulence and high-density electron liquids
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强相关带电粒子系统理论：等离子体湍流和高密度电子液体
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
S. Ichimaru
中科院分区：
文献类型：
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作者：
S. Ichimaru
发展了一个统一的理论来描述强关联带电粒子系统的动态和静态性质，如高密度电子液体和强湍流等离子体，其关联(或涨落)能量在量级上与动能相当。基于微观Klimontovich形式，对单粒子传播子进行了系统的重整化，并考虑了强关联引起的顶点修正。根据一些严格的标准，如在单粒子轨道中明确包含统计修正效应，由强关联带来的有效粒子相互作用的动态修正，介电响应函数的频率-矩和规则，以及在电子液体的静态性质中已知的精确结果的再现，所得到的理论是令人满意的；因此，该理论对所有波数和频率都有效。借助于速度平均近似，我们证明了结果可以用仍然满足这些准则的简化形式来表示。指出了它与凝聚态理论中极化势模型的关系，得到了标量极化势和矢量极化势、与波数有关的有效质量以及碰撞对响应函数的贡献的显式表达式。
A unified theory is developed for describing dynamic and static properties of strongly correlated charged-particle systems, such as a high-density electron liquid and a strongly turbulent plasma, for which the correlation (or fluctuation) energy is comparable in magnitude to the kinetic energy. Based on the microscopic Klimontovich formalism, a systematic renormalization of the single-particle propagators is carried out and vertex corrections arising from strong correlations are taken account of. The resulting theory is examined, and found to be satisfactory, in the light of a number of rigorous criteria, such as explicit inclusion of statistical modification effects in the single-particle orbits, dynamic modification of effective particle interactions brought about by strong correlations, frequency-moment sum rules of the dielectric response function, and reproduction of exact results known in the static properties of the electron liquid; the theory is thus valid for all wave numbers and frequencies. With the aid of a velocity-average approximation, we show that the result can be expressed in a simplified form which still satisfies those criteria. Its relation with the polarization potential model in the theory of condensed matter is thereby noted; explicit expressions for the scalar and vector polarization potentials, the wave-number-dependent effective mass, and the collisional contribution to the response function are obtained.