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arXiv 1111.3317physics.plasm-ph
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RPA以外的介电函数:动力学理论与线性响应理论

Dielectric function beyond RPA: kinetic theory vs. linear response theory

Heidi Reinholz, Gerd Röpke

摘要:

计算了强耦合等离子体的频率相关介电函数,导出了动力学理论和线性响应理论的关系式,并进行了比较讨论。在这方面,我们证明了科勒变分原理的任意频率。它可以被证明是Zubarev方法的一个特殊情况,用于从熵极值原理构造非平衡统计算子。在动力学理论中,通常使用的依赖于能量的弛豫时间方法仅对静态情况下的洛伦兹等离子体严格有效。与线性响应理论的结果进行了比较,线性响应理论包括电子-电子相互作用,适用于任意频率,包括韧致辐射。它示出了如何线性响应的一般方法包括不同的近似值,并打开系统的改进选项。

英文摘要:

Calculating the frequency dependent dielectric function for strongly coupled plasmas, the relations within kinetic theory and linear response theory are derived and discussed in comparison. In this context, we proof the Kohler variational principle for arbitrary frequencies. It can be shown to be a special case of the Zubarev method for the construction of a non-equilibrium statistical operator from the principle of the extremum of entropy. Within kinetic theory, the commonly used energy dependent relaxation time approach is strictly valid only for the Lorentz plasma in the static case. It is compared with the result from linear response theory that includes electron-electron interactions and applies for arbitrary frequencies, including bremsstrahlung emission. It is shown how a general approach to linear response encompasses the different approximations and opens options for systematic improvements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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