Hard-Sphere Equation of State

Boublı́k, Tomáš

doi:10.1063/1.1673824

Cited by 908 publications

(611 citation statements)

References 4 publications

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“…The CS equation of state has subsequently been generalized to hard-sphere mixtures resulting in the Boublík-Mansoori-CarnahanStarling-Leland (BMCSL) pressure p BMCSL [25,26]. This equation of state can be written in terms of the weighted densities of a homogeneous hard-sphere mixture:…”

Section: The New Functionalmentioning

confidence: 99%

Density functional theory for hard-sphere mixtures: the White Bear version mark II

Hansen-Goos¹,

Roth²

2006

J. Phys.: Condens. Matter

197

286

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Abstract. In the spirit of the White-Bear version of fundamental measure theory we derive a new density functional for hard-sphere mixtures which is based on a recent mixture extension of the Carnahan-Starling equation of state. In addition to the capability to predict inhomogeneous density distributions very accurately, like the original White-Bear version, the new functional improves upon consistency with an exact scaled-particle theory relation in the case of the pure fluid. We examine consistency in detail within the context of morphological thermodynamics. Interestingly, for the pure fluid the degree of consistency of the new version is not only higher than for the original White-Bear version but also higher than for Rosenfeld's original fundamental measure theory.

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Section: The New Functionalmentioning

confidence: 99%

Density functional theory for hard-sphere mixtures: the White Bear version mark II

Hansen-Goos¹,

Roth²

2006

J. Phys.: Condens. Matter

197

286

View full text Add to dashboard Cite

show abstract

“…Within scaled particle theory the pressure of a mixture of hard spheres may be shown readily to be an explicit function of just three diameter moments [55]. The same simplification is evident also in the approximate equation of state obtained from the PercusYevick closure for a system of polydisperse hard spheres [56]; also in the case of the "improved" equation of state obtained by Boublik [57] and Mansoori et al [58] from an interpolation between the Percus-Yevick virial and compressibility equations; and also in A. Santos et al's approaches [59][60][61].…”

Section: Theorymentioning

confidence: 60%

“…(3.7) is well defined also for multi-component systems of spheres. It turns out that the equation of state (3.8) coincides with the well-known Boublík, Mansoori, Carnahan, Starling, and Leland (BMCSL) equation of state proposed for mixtures [57,58]:…”

Section: Polydisperse Systemsmentioning

confidence: 86%

“…[57])). The Carnahan-Starling pair distribution function is quite accurate at low and moderate volume fractions, but does not show the reported divergence due to excluded volume effects at the close packing volume fraction [172,173].…”

Section: Theorymentioning

confidence: 99%

“…The particle correlation functions g ij from Ref. [57,118,169,170], are here expressed in terms of A 2,3 , R and ν:…”

Section: Theorymentioning

confidence: 99%

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