Kinetic bottleneck to the self-organization of bidisperse hard disk monolayers formed by random sequential adsorption

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

Volumn 65, Issue 6, 2002, Pages

  Doty, R Christopher ^a   Bonnecaze, Roger T ^a   Korgel, Brian A ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIDISPERSE MIXTURES; DISORDERED PHASES; HARD SPHERES; REAL SYSTEMS;

ADSORPTION; COMPUTER SIMULATION; ENTROPY; FREEZING; MELTING; MIXTURES; PHASE DIAGRAMS; VOLUME FRACTION;

MONOLAYERS;

ARTICLE;

EID: 37649032467     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.061503     Document Type: Article

References (34)

1. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics, 1st ed. (Cambridge University Press, Cambridge, 1995).
2. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 27, 1208 (1957).
3. J. D. Bernal, Nature (London) 183, 141 (1959).
4. P. Bartlett, R. H. Ottewill, and P. N. Pusey, Phys. Rev. Lett. 68, 3801 (1992).
5. M. D. Eldridge, P. A. Madden, and D. Frenkel, Nature (London) 365, 35 (1993).
6. E. Trizac, M. D. Eldridge, and P. A. Madden, Mol. Phys. 90, 675 (1997).
7. X. Cottin and P. A. Monson, J. Chem. Phys. 102, 3354 (1995).
8. N. Hunt, R. Jardine, and P. Bartlett, Phys. Rev. E 62, 900 (2000).
9. A. B. Schofield, Phys. Rev. E 64, 051403 (2001).
10. S. Hachisu and S. Yoshimura, in Physics of Complex and Supermolecular Fluids, edited by S. A. Safran and N. A. Clark (Wiley, New York, 1987), pp. 221–240.
11. J. V. Sanders, Philos. Mag. A 42, 705 (1980).
12. M. J. Murray and J. V. Sanders, Philos. Mag. A 42, 721 (1980).
13. R. E. Peirls, Ann. Inst. Henri Poincaré 5, 177 (1935).
14. M. D. Mermin, Phys. Rev. 176, 250 (1968).
15. A. Jaster, Phys. Rev. E 59, 2594 (1999).
16. H. Weber, D. Marx, and K. Binder, Phys. Rev. B 51, 14 636 (1995).
17. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
18. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978).
19. A. P. Young, Phys. Rev. B 19, 1855 (1979).
20. C. N. Likos and C. L. Henley, Philos. Mag. B 68, 85 (1993).
21. C. J. Kiely, J. Fink, M. Brust, D. Bethell, and D. J. Schiffrin, Nature (London) 396, 444 (1998).
22. C. J. Kiely, J. Fink, J. G. Zheng, M. Brust, D. Bethell, and D. J. Schiffrin, Adv. Mater. 12, 640 (2000).
23. J. Roth, R. Schilling, and H. R. Trebin, Phys. Rev. B 51, 15 833 (1995).
24. Nonetheless, metastable state stability of hard spheres in 3D has been recently studied. See, for example, P. Richard, L. Oger, J.-P. Troadec, and A. Gervois, Phys. Rev. E 60, 4551 (1999).
25. J. J. Gray, D. H. Klein, R. T. Bonnecaze, and B. A. Korgel, Phys. Rev. Lett. 85, 4430 (2000).
26. J. J. Gray, D. H. Klein, B. A. Korgel, and R. T. Bonnecaze, Langmuir 17, 2317 (2001).
27. J. Feder, J. Theor. Biol. 87, 237 (1980).
28. R. H. Swendsen, Phys. Rev. A 24, 504 (1981).
29. Despite our search in the literature for simulations of ordered (Formula presented) lattices of hard spheres in 2D, we failed to find any. See, for example, W. M. Visscher and M. Bolsterli, Nature (London) 239, 504 (1972);
30. A. S. Nowick and S. R. Mader, IBM J. Res. Dev. 9, 358 (1965).
31. Recent simulations of symmetric binary Lennard-Jones mixtures in two dimensions revealed that ordered phases of bidisperse hard disks form under these conditions; M. J. Vlot and J. P. van der Eerden, J. Chem. Phys. 109, 6043 (1998).
32. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).
33. J.-S. Wang and R. B. Pandey, Phys. Rev. Lett. 77, 1773 (1996).
34. B. A. Korgel and D. Fitzmaurice, Phys. Rev. B 59, 14 191 (1999).