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Critical packing fraction η c vs. reduced critical pressure in binary HS mixtures of different size ratios γ as computed from truncated virial expansions keeping successively two, three, four, five, six, seven, eight, nine, and ten “exact” virial coefficients. In the case of non-zero γ, the “exact” ninth and tenth virial coefficients have been estimated using Wheatley's extrapolation formula. Diamonds: γ = 0; squares: γ = 0.05; triangles: γ = 0.1; open circles: γ = 0.2. The inset shows the representation with the critical pressure in logarithmic scale.
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The problem of demixing in a binary fluid mixture of highly asymmetric additive hard spheres is revisited. A comparison is presented between the results derived previously using truncated virial expansions for three finite size ratios with those that one obtains with the same approach in the extreme case in which one of the components consists of point particles. Since this latter system is known not to exhibit fluid-fluid segregation, the similarity observed for the behavior of the critical constants arising in the truncated series in all instances, while not being conclusive, may cast serious doubts as to the actual existence of a demixing fluid-fluid transition in disparate-sized binary additive hard-sphere mixtures.
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