四维和五维硬超球混合物的状态方程

Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures.

作者信息

López de Haro Mariano, Santos Andrés, B Yuste Santos

机构信息

Instituto de Energías Renovables, Universidad Nacional Autónoma de México (U.N.A.M.), Temixco, Morelos 62580, Mexico.

Departamento de Física and Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, E-06006 Badajoz, Spain.

出版信息

Entropy (Basel). 2020 Apr 20;22(4):469. doi: 10.3390/e22040469.

DOI:10.3390/e22040469

PMID:33286243

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7516954/

Abstract

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are constructed in such a way so as to yield the exact third virial coefficient) extend, on the one hand, recent similar formulations for hard-disk and (three-dimensional) hard-sphere mixtures and, on the other hand, two of our previous proposals also linking the mixture equation of state and the one of the monocomponent fluid but unable to reproduce the exact third virial coefficient. The old and new proposals are tested by comparison with published molecular dynamics and Monte Carlo simulation results and their relative merit is evaluated.

摘要

提出了关于四维和五维硬超球混合物状态方程的新提议，该提议是根据相应单组分硬超球流体的状态方程得出的。这些提议（其构建方式能得出精确的第三维里系数）一方面扩展了近期关于硬磁盘和（三维）硬球混合物的类似公式，另一方面也扩展了我们之前的两个提议，这两个提议同样将混合物状态方程与单组分流体的状态方程联系起来，但无法重现精确的第三维里系数。通过与已发表的分子动力学和蒙特卡罗模拟结果进行比较，对新旧提议进行了检验，并评估了它们的相对优点。