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Updated: Feb 19, 2026

Quantifying Mixing using Magnetic Resonance Imaging
Published on: January 25, 2012
Virial coefficients, equation of state, and demixing of binary asymmetric nonadditive hard-disk mixtures
Giacomo Fiumara1, Franz Saija2, Giuseppe Pellicane3
1Department of Mathematics and Computer Science, Physics and Earth Sciences, University of Messina, Viale F. Stagno D'Alcontres 31, I-98166 Messina, Italy.
Abstract:
Values of the fifth virial coefficient, compressibility factors, and fluid-fluid coexistence curves of binary asymmetric nonadditive mixtures of hard disks are reported. The former correspond to a wide range of size ratios and positive nonadditivities and have been obtained through a standard Monte Carlo method for the computation of the corresponding cluster integrals. The compressibility factors as functions of density, derived from canonical Monte Carlo simulations, have been obtained for two values of the size ratio (q = 0.4 and q = 0.5), a value of the nonadditivity parameter (Δ = 0.3), and five values of the mole fraction of the species with the biggest diameter (x1 = 0.1, 0.3, 0.5, 0.7, and 0.9). Some points of the coexistence line relative to the fluid-fluid phase transition for the same values of the size ratios and nonadditivity parameter have been obtained from Gibbs ensemble Monte Carlo simulations. A comparison is made between the numerical results and those that follow from some theoretical equations of state.
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