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液体的压力-能量相关性。III. 具有隐藏标度不变性的液体的统计力学和热力学。

Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance.

机构信息

DNRF Center Glass and Time, IMFUFA, Department of Sciences, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark.

出版信息

J Chem Phys. 2009 Dec 21;131(23):234503. doi: 10.1063/1.3265955.

DOI:10.1063/1.3265955
PMID:20025331
Abstract

In this third paper of the series, which started with Bailey et al. [J. Chem. Phys. 129, 184507 (2008); ibid. 129, 184508 (2008)], we continue the development of the theoretical understanding of strongly correlating liquids--those whose instantaneous potential energy and virial are more than 90% correlated in their thermal equilibrium fluctuations at constant volume. The existence of such liquids was detailed in previous work, which identified them, based on computer simulations, as a large class of liquids, including van der Waals liquids but not, e.g., hydrogen-bonded liquids. We here discuss the following: (1) the scaling properties of inverse power-law and extended inverse power-law potentials (the latter includes a linear term that "hides" the approximate scale invariance); (2) results from computer simulations of molecular models concerning out-of-equilibrium conditions; (3) ensemble dependence of the virial/potential-energy correlation coefficient; (4) connection to the Grüneisen parameter; and (5) interpretation of strong correlations in terms of the energy-bond formalism.

摘要

在本系列的第三篇论文中,我们延续了对强关联液体的理论理解的研究。这一系列始于 Bailey 等人的工作[J. Chem. Phys. 129, 184507 (2008); ibid. 129, 184508 (2008)],强关联液体是指在等容热平衡涨落中,其瞬时势能和维里的相关性超过 90%。在之前的工作中详细地讨论了这些液体的存在,这些工作基于计算机模拟,将它们确定为一大类液体,包括范德瓦尔斯液体,但不包括氢键液体等。我们在这里讨论了以下内容:(1)幂律和扩展幂律势的标度性质(后者包括一个“隐藏”了近似标度不变性的线性项);(2)分子模型的计算机模拟结果,涉及非平衡条件;(3)维里/势能相关系数的系综依赖性;(4)与格林艾森参数的联系;(5)用能量-键合形式来解释强相关性。

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