Working Paper Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 24 March 2020 / Approved: 25 March 2020 / Online: 25 March 2020 (08:47:08 CET)

A peer-reviewed article of this Preprint also exists.

López de Haro, M.; Santos, A.; Yuste, S.B. Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures. Entropy 2020, 22, 469. López de Haro, M.; Santos, A.; Yuste, S.B. Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures. Entropy 2020, 22, 469.

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.

Keywords

equation of state; hard hyperspheres; fluid mixtures

Subject

Physical Sciences, Condensed Matter Physics

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