Hard hyperspheres: Difference between revisions

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==References==
==References==
<references/>
<references/>
;Related reading
*[http://dx.doi.org/10.1063/1.3622597 Jarosław Piasecki, Piotr Szymczak, and John J. Kozak "Structural transitions in hypersphere fluids: Predictions of Kirkwood's approximation", Journal of Chemical Physics '''135''' 084509 (2011)]
[[category: models]]
[[category: models]]

Latest revision as of 11:38, 1 September 2011

Hard hyperspheres are hard spheres in more than three dimensions ().

Volume[edit]

The volume of an n-sphere of unit diameter is given by

where is the Gamma function.

Structure factor[edit]

Structure factor [1]

Liquid-solid transition[edit]

The liquid-solid transition for and [2].

Virial coefficients[edit]

Hard sphere: virial coefficients for odd dimensions [3]

Percus–Yevick equation[edit]

The Percus Yevick equation [4]

References[edit]

Related reading