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Virial coefficients and demixing in the Asakura-Oosawa model

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López de Haro, Mariano and Fernández Tejero, Carlos and Santos, Andrés and Yuste, Santos B. and Fiumara, Giacomo and Saija, Franz (2015) Virial coefficients and demixing in the Asakura-Oosawa model. Journal of chemical physics, 142 (1). 014902_1-014902_7. ISSN 0021-9606

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Official URL: http://dx.doi.org/10.1063/1.4904891


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Abstract

The problem of demixing in the Asakura-Oosawa colloid-polymer model is considered. The critical constants are computed using truncated virial expansions up to fifth order. While the exact analytical results for the second and third virial coefficients are known for any size ratio, analytical results for the fourth virial coefficient are provided here, and fifth virial coefficients are obtained numerically for particular size ratios using standard Monte Carlo techniques. We have computed the critical constants by successively considering the truncated virial series up to the second, third, fourth, and fifth virial coefficients. The results for the critical colloid and (reservoir) polymer packing fractions are compared with those that follow from available Monte Carlo simulations in the grand canonical ensemble. Limitations and perspectives of this approach are pointed out.


Item Type:Article
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© 2015 AIP Publishing LLC. M.L.H., A.S., and S.B.Y. acknowledge the financial support of the Spanish Government through Grant No. FIS2013-42840-P and the Junta de Extremadura (Spain) through Grant No. GR10158 (partially financed by FEDER funds). Thanks are also due to Professor Bob Evans for suggesting this problem to us and for rich and interesting discussions and a very fruitful exchange of correspondence.

Uncontrolled Keywords:Colloid-polymer mixture; Hard-sphere mixtures; Equation-of-state; Phase-behavior; Binary-mixtures; Separation; Simulation; Fluid; Suspensions; Depletion
Subjects:Sciences > Physics > Thermodynamics
ID Code:32945
Deposited On:28 Aug 2015 12:48
Last Modified:04 Sep 2015 08:24

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