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arXiv 1602.02677physics.plasm-ph
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经典二维和三维单组分等离子体的内能

Internal energy of the classical two- and three-dimensional one-component-plasma

S. A. Khrapak, A. G. Khrapak

摘要:

本文总结了几种半唯象方法来估计二维和三维单组分等离子体(OCP)的内能。特别注意的是一个混合的方法,它再现了Debye-H $\ddot{\text{u}}$ ckel渐近线在弱耦合的限制,离子球(3D)和离子盘(2D)渐近线在强耦合的限制,并提供合理的这两个限制之间的插值。本文还讨论了更精确地估计二维和三维OCP的内能的方法。这些分析结果的准确性量化与现有的数据从数值模拟比较。简要讨论了KTHNY理论在二维OCP中定位熔化转变的相关性。

英文摘要:

We summarize several semi-phenomenological approaches to estimate the internal energy of one-component-plasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the Debye-H$\ddot{\text{u}}$ckel asymptote in the limit of weak coupling, the ion sphere (3D) and ion disc (2D) asymptotes in the limit of strong coupling, and provides reasonable interpolation between these two limits. More accurate ways to estimate the internal energy of 2D and 3D OCP are also discussed. The accuracy of these analytic results is quantified by comparison with existing data from numerical simulations. The relevance of the KTHNY theory in locating melting transition in 2D OCP is briefly discussed.

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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