Structure, thermodynamics, and orientational correlations of the nematogenic hard ellipse fluid from the Percus-Yevick equation

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Abstract
The Percus-Yevick equation is solved for a fluid of hard ellipses in two dimensions. The correlation functions, including the orientation correlation function, are expanded in a set of orthogonal functions and the expansion coefficients are obtained by an iterative algorithm. Pressure and compressibility values are also determined. Orientational ordering is observed, but the isotropic-nematic phase transition observed by Vieillard-Baron (1972, J. chem. Phys., 56, 4729) is not.