Stability boundaries, percolation threshold, and two-phase coexistence for polydisperse fluids of adhesive colloidal particles

Journal of Chemical Physics

Volumn 122, Issue 3, 2005, Pages

  Fantoni, Riccardo ^a   Gazzillo, Domenico ^a   Giacometti, Achille ^a  

^a INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

GAS-LIQUID BOUNDARIES; POLYDISPERSE BAXTER MODEL; STABILITY BOUNDARIES; STICKY HARD SPHERES (SHS);

APPROXIMATION THEORY; COMPUTER SIMULATION; FLUIDS; MONTE CARLO METHODS; PERCOLATION (FLUIDS);

COLLOIDS;

EID: 22944457598     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1831275     Document Type: Article

References (35)

1. H. Löwen, Phys. Rep. 237, 249 (1994).
2. S. H. Chen, J. Rouch, F. Sciortino, and P. Tartaglia, J. Phys.: Condens. Matter 6, 10855 (1994).
3. R. J. Baxter, J. Chem. Phys. 49, 2770 (1968).
4. R. O. Watts, D. Henderson, and R. J. Baxter, Adv. Chem. Phys. 21, 421 (1971).
5. B. Barboy and R. Tenne, Chem. Phys. 38, 369 (1979).
6. 3) and a continuous polydispersity corresponding to p→∞ with a continuous distribution of sizes or other properties. This distinction will be specified in more details in Sec. VI.
7. G. Stell, J. Stat. Phys. 63, 1203 (1991).
8. D. Gazzillo and A. Giacometti, J. Chem. Phys. 120, 4742 (2004).
9. D. Gazzillo and A. Giacometti, J. Chem. Phys. 113, 9837 (2000).
10. D. Gazzillo and A. Giacometti, Mol. Phys. 101, 2171 (2003).
11. M. A. Miller and D. Frenkel, Phys. Rev. Lett. 90, 135702 (2003).
12. M. A. Miller and D. Frenkel, J. Chem. Phys. 121, 535 (2004).
13. C. Tutschka and G. Kahl, J. Chem. Phys. 108, 9498 (1998).
14. A. Coniglio, U. De Angelis, and A. Forlani, J. Phys. A 10, 1123 (1977).
15. Y. C. Chiew and E. D. Glandt, J. Phys. A 16, 2599 (1983).
16. Y. C. Chiew and E. D. Glandt, J. Phys. A 22, 3969 (1989).
17. P. Sollich, J. Phys.: Condens. Matter 14, R79 (2002).
18. L. Bellier-Castella, H. Xu, and M. Baus, J. Chem. Phys. 113, 8337 (2000).
19. Y. V. Kalyuzhnyi and G. Kahl, J. Chem. Phys. 119, 7335 (2003).
20. Y. V. Kalyuzhnyi, G. Kahl, and P. T. Cummings, J. Chem. Phys. 120, 10133 (2004).
21. J. W. Perram and E. R. Smith, Chem. Phys. Lett. 35, 138 (1975).
22. Here, for simplicity, we disregard possible complicancies arising from the fact that unphysically large particles are included in this analysis. These were discussed in Ref. 19.
23. A. B. Bhatia and D. E. Thornton, Phys. Rev. B 2, 3004 (1970).
24. D. Gazzillo, Mol. Phys. 83, 1171 (1994).
25. D. Gazzillo, Mol. Phys. 84, 303 (1995).
26. N. W. Ashcroft and D. C. Langreth, Phys. Rev. 156, 685 (1967).
27. B. Barboy, Chem. Phys. 11, 357 (1975).
28. T. L. Hill, J. Chem. Phys. 23, 617 (1955).
29. In this respect both C0 and C1 would be more precise than the PY closure and this is a remarkable feature.
30. 2 for certain values of the density, as occurs for the Percus-Yevick closure (Ref. 3).
31. T. Boublík, J. Chem. Phys. 53, 471 (1970).
32. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, Jr., J. Chem. Phys. 54, 1523 (1971).
33. J. J. Salacuse and G. Stell, J. Chem. Phys. 77, 3714 (1982).
34. X. S. Chen and F. Forstmann, J. Chem. Phys. 97, 3696 (1992).
35. R. J. Baxter, J. Chem. Phys. 52, 4559 (1970).