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单组分等离子体剪切粘度的测定。

Determination of the shear viscosity of the one-component plasma.

作者信息

Daligault Jérôme, Rasmussen Kim Ø, Baalrud Scott D

机构信息

Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):033105. doi: 10.1103/PhysRevE.90.033105. Epub 2014 Sep 9.

DOI:10.1103/PhysRevE.90.033105
PMID:25314545
Abstract

The shear viscosity coefficient of the one-component plasma is calculated with unprecedented accuracy using equilibrium molecular dynamics simulations and the Green-Kubo relation. Numerical and statistical uncertainties and their mitigation for improving accuracy are analyzed. In the weakly coupled regime, our results agree with the Landau-Spitzer prediction. In the moderately and strongly coupled regimes, our results are found in good agreement with recent results obtained for the Yukawa one-component plasma using nonequilibrium molecular dynamics. A practical formula is provided for evaluating the viscosity coefficient across coupling regimes, from the weakly coupled regime to solidification threshold. The results are used to test theoretical predictions of the viscosity coefficients found in the literature.

摘要

使用平衡分子动力学模拟和格林-久保关系,以前所未有的精度计算了单组分等离子体的剪切粘度系数。分析了数值和统计不确定性及其为提高精度而进行的缓解措施。在弱耦合 regime 中,我们的结果与朗道-斯皮策预测一致。在中等耦合和强耦合 regime 中,我们的结果与最近使用非平衡分子动力学获得的 Yukawa 单组分等离子体的结果非常吻合。提供了一个实用公式,用于评估从弱耦合 regime 到凝固阈值的整个耦合 regime 的粘度系数。结果用于检验文献中发现的粘度系数的理论预测。

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