Dielectric Response Function of Electron Liquids. III Numerical Investigation of Static Properties
Dielectric Response Function of Electron Liquids. III Numerical Investigation of Static Properties
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电子液体的介电响应函数。
DOI：
10.1143/ptp.52.42
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发表时间：
1974
影响因子：
--
通讯作者：
S. Ichimaru
中科院分区：
文献类型：
--
作者：
H. Totsuji;S. Ichimaru
本文根据作者导出的介电响应函数，对电子液体的静态性质进行了数值研究。静态形状因子在等离子体参数E：0; 10的物理稳定域上计算。由此得到的关联能与Brush，Sahlin和Teller的数值实验结果符合得很好，关联的短程行为比现有理论有很大的改进。在E~10范围内，压缩性和规则得到很好的满足，从而确定了发生热力学不稳定的临界等离子体参数r在9.2sE·sl ~（0.9）范围内。这种不稳定性的性质是澄清与援助的正电荷背景的波动分析，从而预测的Ornstein-Zernike型的临界波动。对于E>Ec的电子液体，指出了两相分离的可能性。第1节。引言在以前的文件/l以下简称为我，本文的作者之一，推导出一个经典的电子液体的介电响应函数，其中，结合涨落耗散定理，导致这样一个系统的静态形状因子的自洽方程。随后，在第二篇论文21中，我们研究了由这样一个自洽方程描述的系统的静态性质;分析是借助于关于等离子体参数e =（4 nn）i12 e8 T- 312的展开进行的，其中n是电子的数密度，T表示能量单位的温度。由此表明，介电响应函数再现了热力学性质的精确计算，直至文献中迄今报道的膨胀项。在证实了介电响应函数在小等离子体参数范围内的有效性之后，我们将电子液体热力学性质和介电函数的数值计算推广到t~e范围，在t~e范围内，关于e的展开不再是一个有用的概念。在这里，“我们知道没有严格的理论指导方针，除了一些求和规则，通过这些规则可以检查计算的准确性。相反，我们比较结果：我们的计算结果与那些“实验”值的静态性能通过Monte Carlo方法获得的刷子，Sahlin和泰勒。这两组计算结果非常吻合
Numerical investigations of the static properties of the electron liquid· are ·carried out on the basis of the dielectric response function derived by one of the authors. The static form factor is computed over the thermodynamically stable domain of the plasma parameter, E:o;lO. The correlation energy thus obtained is in good agreement with the numerical experiment carried out by Brush, Sahlin and Teller; the short-range behavior of the corre lation is much improved over the existing theories. The compressibility sum rule is well satisfied up to E~10 so that the critical plasma paramet~r for the onset of a thermodynamic instability is determined to be in the range, 9.2sE.sl0.9. The nature of such an instability is clarified with the aid of the fluctuation analysis of the positive-charge background; a critical fluctuation of Ornstein-Zernike type is thus predicted. For the electron liquid with E>Ec, a possibility of separation into two phases is pointed out. § 1. lntroduction In a previous paper/l hereafter referred to as I, one of the authors of the present paper derived a dielectric response function for classical electron liquids, which, combined with the fluctuation-dissipation theorem, led to a self-consistent equation for the static form factor of such a system. Subsequently, in a paper2l referred to as II, we investigated the static properties of the system described by such a self-consistent equation; the analysis was carried out with the aid of an expansion with respect to the plasma parameter e = ( 4nn)i12e8T- 312, where n is the number density of the electrons and T denotes the temperature in energy units. It has thereby been shown that the dielectric response function reproduces · the exact calculations of the thermodynamic properties· up to those terms of the expansion hitherto reported in the literature. Having thus confirmed the validity of the dielectric response function in the domain of small plasma parameters, we now extend the numerical calculations of the thermodynamic properties and the correlati~n functions of the electron liquid into t~e domain where an expansion with respect to e is no longer a useful concept. Here, "we know of no rigorous theoretical guidelines, except for a number of sum rules, by_ which accuracy of the calculations may be examined. Instead, we compare the res:ults of our computations with those "experimental" values of static properties obtained through the Monte Carlo method by Brush, Sahlin and Teller. 3l These two sets of computations exhibit excellent agreement