Hard-sphere fluid-to-solid transition and the virial expansion

Aguilera‐Navarro, V. C.; Fortes, M.; Llano, M. de; Piastino, A.; Rı́o, J. del; Rojo, O.

doi:10.1007/bf01009422

Cited by 15 publications

(3 citation statements)

References 22 publications

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“…Other authors [82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98] have also conjectured Eq. (2.61).…”

Section: Phase Behaviormentioning

confidence: 99%

Structural and Thermodynamic Properties of Hard-Sphere Fluids

Santos,

Yuste,

de Haro

2020

Preprint

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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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“…Other authors [82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98] have also conjectured Eq. (2.61).…”

Section: Phase Behaviormentioning

confidence: 99%

Structural and Thermodynamic Properties of Hard-Sphere Fluids

Santos,

Yuste,

de Haro

2020

Preprint

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“…More than a decade ago, by studying the singularities of Padé approximants constructed from the virial series for hard disks and hard spheres, Sanchez 46 came to the conclusion that such singularities were related to crystalline close-packing in these systems. Other authors [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61] have also conjectured that…”

Section: Introductionmentioning

confidence: 99%

“…In Table II conclusion that such singularities were related to crystalline close-packing in these systems. Other authors [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61] have also conjectured that…”

Section: Introductionmentioning

confidence: 99%

On the relation between virial coefficients and the close-packing of hard disks and hard spheres

Maestre

Santos

Robles

et al. 2011

The Journal of Chemical Physics

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The question of whether the known virial coefficients are enough to determine the packing fraction η ∞ at which the fluid equation of state of a hard-sphere fluid diverges is addressed. It is found that the information derived from the direct Padé approximants to the compressibility factor constructed with the virial coefficients is inconclusive. An alternative approach is proposed which makes use of the same virial coefficients and of the equation of state in a form where the packing fraction is explicitly given as a function of the pressure. The results of this approach both for hard-disk and hard-sphere fluids, which can straightforwardly accommodate higher virial coefficients when available, lends support to the conjecture that η ∞ is equal to the maximum packing fraction corresponding to an ordered crystalline structure.

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