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arXiv 0901.3535physics.plasm-ph
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简单等离子体模型中的相变

Phase transition in a simple plasma model

Igor Iosilevskiy

摘要:

本文研究了在补偿背景(OCP)单符号电荷模型中出现的具有上临界点的气-液型相变。相变参数依赖于对背景可压缩性的详细假设,但这种相变的发生与背景状态方程无关。在电子-气体模型中,这种跃迁似乎排除了维格纳结晶。本文利用统计力学中的变分原理,导出了两个单分量等离子体模型叠加的双OCP模型。这个模型的自由能设定了一个真实等离子体自由能的上限。这种过渡的情况下进行了讨论,应表现在异常的近似描述的非理想等离子体。

英文摘要:

A phase transition of gas-liquid type with an upper critical point is examined which arises in a model of charges of one sign on compensating background (OCP). The phase transition parameters are dependent on the detailed assumptions about the compressibility of the background, but the occurrence of this transition is independent on the background equation of state. In the electron-gas model ('jellium'), this transition appears to rule out Wigner crystallization. A variational principle in statistical mechanics is used to derive so-called Double-OCP model for a superposition of two one-component plasma models for charges of opposite sign. The free energy of this model sets an upper bound to that of a real plasma. Situations are discussed where this transition should manifest itself in anomalies in the approximate description of a non-ideal plasma.

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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