Third virial coefficient of hard spheroids

Author: Wertheim M. S.  

Publisher: Taylor & Francis Ltd

ISSN: 1362-3028

Source: Molecular Physics, Vol.99, Iss.3, 2001-02, pp. : 187-196

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Abstract

The third virial coefficient B3 of a fluid of spheroids is calculated by direct integration using the method of 2-point measures of convex body geometry. Calculations are performed for aspect ratios up to 10 for both prolate and oblate spheroids. The infinite set of 2-point measures has five indices. The three numerical ones, L, L and m, are standard quantities in the theory of the rotation group. These new calculations use truncation at the L = L = 2 level. The results show dramatic improvement over previous results at the L = L = 1 level and are in excellent agreement with existing Monte Carlo calculations of B3.