Structural and Thermodynamic Properties of Hard-Sphere Fluids
Andr\'es Santos, Santos B. Yuste, and Mariano L\'opez de Haro

TL;DR
This paper reviews analytical methods for calculating the structural and thermodynamic properties of hard-sphere fluids, enhancing existing theories and providing new approximate relations for equations of state.
Contribution
It introduces a thermodynamically consistent formulation that improves upon the Percus--Yevick theory and discusses new approximate expressions linking single- and multicomponent fluid equations of state.
Findings
Enhanced analytical results for hard-sphere fluid structure
Thermodynamically consistent formulations developed
New approximate relations for equations of state
Abstract
This Perspective article provides an overview of some of our analytical approaches to the computation of the structural and thermodynamic properties of single-component and multicomponent hard-sphere fluids. For the structural properties, they yield a thermodynamically consistent formulation, thus improving and extending the known analytical results of the Percus--Yevick theory. Approximate expressions linking the equation of state of the single-component fluid to the one of the multicomponent mixture are also discussed.
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