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arXiv 0711.4945physics.plasm-ph
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强耦合双组分等离子体中微场分布的重整化集团展开

Renormalized cluster expansion of the microfield distribution in a strongly coupled two-component plasmas

H. B. Nersisyan, D. A. Osipyan, G. Zwicknagel

摘要:

利用分子动力学模拟和理论模型研究了双组分电子-离子等离子体中杂质离子处的微电场分布。在经典的统计力学中使用电子-离子库仑势在小于德布罗意长度的距离处正则化以考虑量子衍射效应来处理粒子。修正的势的平均力指数(PMFEX)的近似最近提出的MFD在强耦合TCP [物理修订版E 72,036403(2005)]获得和讨论。这已经完成了一个推广的标准Baranger-Mozer和重整化集群膨胀技术最初开发的单组分等离子体的TCP。中性点的结果进行了比较,从分子动力学模拟。结果表明,修正无助于改善具有低离子电荷Z的TCP的PMFEX近似。但是从Z > 5开始,PMFEX模型得到了实质性的改进,并且与数值模拟的一致性非常好。我们还发现,随着耦合的增加,PMFEX近似变得无效,预测在中性点的MFD,而其修正后的版本同意令人满意的模拟。

英文摘要:

The electric microfield distribution (MFD) at an impurity ion is studied for two-component (TCP) electron-ion plasmas using molecular dynamics simulation and theoretical models. The particles are treated within classical statistical mechanics using an electron-ion Coulomb potential regularized at distances less than the de Broglie length to take into account quantum-diffraction effects. Corrections to the potential-of-mean-force exponential (PMFEX) approximation recently proposed for MFD in a strongly coupled TCP [Phys. Rev. E 72, 036403 (2005)] are obtained and discussed. This has been done by a generalization of the standard Baranger-Mozer and renormalized cluster expansion techniques originally developed for the one-component plasmas to the TCPs. The results obtained for a neutral point are compared with those from molecular dynamics simulations. It is shown that the corrections do not help to improve the PMFEX approximation for a TCP with low ionic charge Z. But starting with Z > 5 the PMFEX model is substantially improved and the agreement with numerical simulations is excellent. We have also found that with increasing coupling the PMFEX approximation becomes invalid to predict the MFD at a neutral point while its corrected version agrees satisfactory with the simulations.

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