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Solution of the Percus-Yevick equation for hard hyperspheres in even dimensions.

Abstract:

We solve the Percus-Yevick equation in even dimensions by reducing it to a set of simple integrodifferential equations. This work generalizes an approach we developed previously for hard disks. We numerically obtain both the pair correlation function and the virial coefficients for a fluid of hyperspheres in dimensions d = 4, 6, and 8, and find good agreement with the available exact results and Monte Carlo simulations. This paper confirms the alternating character of the virial series for d ...

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Publication status:
Published

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Publisher copy:
10.1063/1.2991338

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of chemical physics
Volume:
129
Issue:
14
Pages:
144506
Publication date:
2008-10-01
DOI:
EISSN:
1089-7690
ISSN:
0021-9606
Language:
English
Pubs id:
pubs:187630
UUID:
uuid:3d22d7cc-7322-4bdc-b781-fa48911035b0
Local pid:
pubs:187630
Source identifiers:
187630
Deposit date:
2012-12-19

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