Density functional for the Widom-Rowlinson model

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

Volumn 63, Issue 1, 2001, Pages

  Schmidt, Matthias ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18644381474     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.010101     Document Type: Article

References (26)

1. B. Widom and J. S. Rowlinson, J. Chem. Phys. 52, 1670 (1970).
2. M. I. Guerrero, J. S. Rowlinson, and G. Morrison, J. Chem. Soc., Faraday Trans. 2 72, 1970 (1976).
3. J. S. Rowlinson, Adv. Chem. Phys. 41, 1 (1980).
4. J. S. Rowlinson and B. Widom, Molecular theory of capillarity (Clarendon Press, Oxford 1982).
5. C. Y. Shew and A. Yethiraj, J. Chem. Phys. 104, 7665 (1996).
6. E. Bergmann, Mol. Mater. 32, 237 (1976).
7. G. Johnson, H. Gould, J. Machta, and L. K. Chayes, Phys. Rev. Lett. 79, 2612 (1997).
8. P. Borgelt, C. Hoheisel, and G. Stell, J. Chem. Phys. 92, 6161 (1990).
9. R. P. Sear, J. Chem. Phys. 104, 9948 (1996).
10. S. J. Bibb, J. S. Rowlinson, and C. Xiao, Mol. Mater. 84, 1099 (1995).
11. R. Evans, in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Wiley, New York, 1992), p. 85.
12. Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989).
13. Y. Rosenfeld, M. Schmidt, H. Löwen, and P. Tarazona, J. Phys.: Condens. Matter 8, L577 (1996);
14. Y. RosenfeldM. SchmidtH. LöwenP. TarazonaPhys. Rev. E 55, 4245 (1997).
15. P. Tarazona, Phys. Rev. Lett. 84, 694 (2000).
16. J. A. Cuesta, Phys. Rev. Lett. 76, 3742 (1996).
17. J. A. Cuesta and Y. Martinez-Raton, Phys. Rev. Lett. 78, 3681 (1997);
18. J. A. CuestaY. Martinez-RatonJ. Chem. Phys. 107, 6379 (1997).
19. M. Schmidt, J. Phys.: Condens. Matter 11, 10 163 (1999).
20. Y. Rosenfeld, M. Schmidt, M. Watzlawek, and H. Löwen, Phys. Rev. E 62, 5006 (2000).
21. M. Schmidt, H. Löwen, J. M. Brader, and R. Evans, Phys. Rev. Lett. 85, 1934 (2000).
22. S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
23. We restrict ourselves to an “additive” case. More generally, the hard core lengths between all pairs i and j are prescribed independently.
24. The present functional cannot be obtained from the hard spheres FMT by the same linearization in density as in the case of the AO model 19.
25. R. Evans, J. R. Henderson, D. C. Hoyle, A. O. Parry, and Z. A. Sabeur, Mol. Mater. 80, 755 (1993).
26. K. R. Mecke, Int. J. Mod. Phys. B 12, 861 (1998).