RT Journal Article T1 Virial coefficients and demixing in the Asakura-Oosawa model A1 López de Haro, Mariano A1 Fernández Tejero, Carlos A1 Santos, Andrés A1 Yuste, Santos B. A1 Fiumara, Giacomo A1 Saija, Franz AB 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. PB American Institute of Physics SN 0021-9606 YR 2015 FD 2015-01-07 LK https://hdl.handle.net/20.500.14352/34844 UL https://hdl.handle.net/20.500.14352/34844 LA eng NO © 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. NO Ministerio de Economía y Competitividad (MINECO)/FEDER NO Junta de Extremadura DS Docta Complutense RD 18 abr 2025