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Communication: Virial coefficients and demixing in highly asymmetric binary additive hard-sphere mixtures
24. S. Labík and J. Kolafa (private communication).
30. C. Barrio, and J. R. Solana, in Theory and Simulation of Hard-Sphere Fluids and Related Systems, edited by A. Mulero, Lectures Notes in Physics Vol. 753 (Springer-Verlag, Berlin, 2008), pp. 133–182.
35.The formulas by Wheatley require as input the virial coefficients of a pure hard-sphere fluid. Here we have used the values reported by van Rensburg,31 Labík et al.,32 and Clisby and McCoy.33,34
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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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