Two-dimensional convex particle liquid

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Abstract
A statistical thermodynamic description of the two-dimensional system composed of non-spherical particles with the pair potential of the Kihara-core type is proposed; thermodynamic functions of fluids are expressed in terms of the integrals over two angles and the shortest distance between envelopes of the respective cores. For the system of the two-dimensional hard convex bodies an average correlation function is defined and used to express the equation of state and the chemical potential of pure fluids. Exploiting the ideas of the scaled particle theory the values of the averaged correlation function at the distance of closest approach are determined as functions of the geometric functionals—areas and the (1/2π)-multiples of the circumferences of convex bodies. The values of the compressibility factor obtained from the proposed theory are compared with the Monte Carlo data for a system of hard ellipses.

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