Calculation of third to eighth virial coefficients of hard lenses and hard, oblate ellipsoids of revolution employing an efficient algorithm
Publication date
2021-07
Document type
Research article
Author
Organisational unit
Scopus ID
Pubmed ID
Series or journal
Physical review. E, Statistical, nonlinear, and soft matter physics
Periodical volume
104
Periodical issue
1
First page
1
Last page
11
Peer-reviewed
✅
Part of the university bibliography
✅
Abstract
We provide third to eighth virial coefficients of oblate, hard ellipsoids of revolution and hard lenses in dependence on their aspect ratio ν. Employing an algorithm optimized for hard anisotropic shapes, highly accurate data are accessible with comparatively small numerical effort. For both geometries, reduced virial coefficients B[over ̃]_{i}(ν)=B_{i}(ν)/B_{2}^{i-1}(ν) are in first approximation proportional to the inverse excess contribution α^{-1} of their excluded volume. The latter quantity is directly accessible from second virial coefficients and analytically known for convex bodies.
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