Phase equilibria of asymmetric hard sphere mixtures

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 4, 1999, Pages 4426-4433

  Almarza, N G ^a   Enciso, E ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347940932     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.4426     Document Type: Article

References (24)

1. C. Caccamo, Phys. Rep. 274, 1 (1996), and references therein.
2. (a) A. Z. Panagiotopoulos, in Observation, Prediction and Simulation of Phase Transitions in Complex Fluids, Vol. 460 of NATO Advanced Study Institute Series C: Mathematical and Physical Sciences, edited by M. Baus, L. F. Rull, and J. P. Ryckaert (Kluwer, Dordrecht, 1995), p. 463;(b) B. Smit, in Computer Simulation in Chemical Physics, Vol. 397 of NATO Advanced Study Institute Series C: Mathematical and Physical Sciences, edited by M. P. Allen and D. J. Tildesley (Kluwer, Dordrecht, 1993), p. 173.
3. S. Akasura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
4. A. Vrij, Pure Appl. Chem. 48, 471 (1976).
5. Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995).
6. T. Biben, P. Bladon, and D. Frenkel, J. Phys.: Condens. Matter 8, 10 799 (1996).
7. P. Attard, J. Chem. Phys. 91, 3083 (1989).
8. P. Attard and G. N. Patey, J. Chem. Phys. 92, 4970 (1990).
9. R. Dickman, P. Attard, and V. Simonian, J. Chem. Phys. 107, 295 (1997).
10. B. Götzelmann, R. Evans, and S. Dietrich, Phys. Rev. E 57, 6785 (1998).
11. E. Lomba and N. G. Almarza, J. Chem. Phys. 100, 8367 (1994).
12. M. H. J. Hagen and D. Frenkel, J. Chem. Phys. 101, 4093 (1994).
13. P. Bolhuis, M. Hagen, and D. Frenkel, Phys. Rev. E 50, 4880 (1994).
14. N. G. Almarza and E. Enciso, Proceedings of the VII Spanish Meeting on Statistical Physics FISES’97, Anales de Física, Monografías RSEF (Ciemat, Madrid, 1998), Vol. 4, p. 159.
15. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
16. J. P. Hansen and I. R. McDonald, Theory of Simple Fluids (North-Holland, Amsterdam, 1985).
17. Considering a diagrammatic expansion of the three-body contributions to the potential of the mean force, and taking into account the configurations of three large particles (without overlaps between them) and two small overlapping particles, (Formula presented) corresponds to the lowest size ratio R for which three-dimensional configurations can be built, in which every large particle overlaps with (at least) one small particle and each small particle overlaps with (at least) one large particle. To determine (Formula presented) one can consider an equilateral triangle of side length (Formula presented) on each vertex a sphere of radious (Formula presented) can be located. For (Formula presented) no triple overlap occurs. It is also possible to evaluate the minimum distance between one of the spheres and the overlapping volume of the other two; for (Formula presented) such a distance is equal to (Formula presented).
18. M. Dijkstra, R. van Roij, and R. Evans, Phys. Rev. Lett. 81, 2268 (1998).
19. D. A. Kofke, Mol. Phys. 78, 1331 (1993).
20. D. Frenkel, in Observation, Prediction and Simulation of Phase Transitions in Complex Fluids [Ref. 2(a)], p. 357.
21. W. G. Hoover and F. H. Ree, J. Chem. Phys. 49, 3609 (1968).
22. W. G. T. Kranendonk and D. Frenkel, Mol. Phys. 72, 679 (1991).
23. T. Boublik, J. Chem. Phys. 53, 471 (1970)
24. J. Chem. Phys.G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, 54, 1523 (1971).