Dynamical heterogeneity and the freezing transition in hard-sphere suspensions: Further analysis of the mean square displacement and the velocity autocorrelation function

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 2, 2007, Pages

  Van Megen, W ^a   Bryant, G ^a  

^a RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOCORRELATION; FUNCTION EVALUATION; MOLECULAR DYNAMICS; MOLECULAR INTERACTIONS; SUSPENSIONS (FLUIDS); VELOCITY MEASUREMENT;

COLLOIDAL SUSPENSION; HARD-SPHERE SUSPENSIONS; MEAN SQUARE DISPLACEMENT; THERMODYNAMICALLY STABLE SUSPENSION;

PHASE TRANSITIONS;

EID: 34547929587     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.021402     Document Type: Article

References (31)

1. P. N. Pusey and W. van Megen, Nature (London) NATUAS 0028-0836 10.1038/320340a0 320, 340 (1986).
2. P. N. Pusey and W. van Megen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.2083 59, 2083 (1987).
3. S. I. Henderson, T. C. Mortensen, S. M. Underwood, and W. van Megen, Physica A PHYADX 0378-4371 10.1016/S0378-4371(96)00153-7 233, 102 (1996);
4. S. I. Henderson and W. van Megen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.877 80, 877 (1998).
5. H. J. Schöpe, G. Bryant, and W. van Megen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.060401 74, 060401 (R) (2006).
6. S. R. Williams, I. K. Snook, and W. van Megen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.021506 64, 021506 (2001).
7. S. R. Williams, G. Bryant, I. K. Snook, and W. van Megen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.087801 96, 087801 (2006).
8. F. Sciortino and P. Tartaglia, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730500414570 54, 471 (2005), and references therein.
9. M. M. Hurley and P. Harrowell, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.1694 52, 1694 (1995);
10. W. Kob, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/ 10/003, 11, R85 (2000), and references therein.
11. S. C. Glotzer, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022- 3093(00)00225-8 274, 342 (2000), and references therein.
12. W. K. Kegel and A. van Blaaderen, Science SCIEAS 0036-8075 10.1126/science.287.5451.290 287, 290 (2000);
13. E. R. Weeks, Science SCIEAS 0036-8075 10.1126/science.287.5453.627 287, 627 (2000).
14. J. C. Conrad, P. P. Dhillon, E. R. Weeks, D. R. Reichman, and D. A. Weitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.265701 97, 265701 (2006).
15. W. van Megen, T. C. Mortensen, and G. Bryant, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031402 72, 031402 (2005).
16. W. van Megen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.020503 73, 020503 (R) (2006).
17. M. H. Ernst and A. Weyland, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(71)90987-X 34, 39 (1971).
18. T. E. Harris, J. Appl. Probab. JPRBAM 0021-9002 10.2307/3212197 2, 323 (1965);
19. H. van Beijeren, K. W. Kehr, and R. Kutner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.5711 28, 5711 (1983).
20. W. van Megen and S. M. Underwood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457492 91, 552 (1989).
21. W. van Megen, T. C. Mortensen, S. R. Williams, and J. Müller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6073 58, 6073 (1998).
22. G. Bryant, S. R. Williams, Q. Lin Mac, I. K. Snook, E. Perez, and F. Pincet Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.060501 66, 060501 (R) (2002).
23. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, London, 1986).
24. W. van Megen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.011401 73, 011401 (2006).
25. This caveat, μ=2, is not necessarily excluded by the data at φ≈ φg where μ≈2. Its implication, a contribution to the MSD proportional to log10 (τ), was recently identified in an analysis of these data by mode coupling theory [M. Sperl, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 060401 71, 060401 (R) (2005)]. This issue and a more detailed comparison of these data with the mode coupling theory are the subjects of a future publication.
26. B. J. Alder and T. E. Wainwright, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.1.18 1, 18 (1970).
27. D. Bonn and W. K. Kegel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1532349 118, 2005 (2003).
28. J. L. Harland, S. I. Henderson, S. M. Underwood, and W. van Megen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3572 75, 3572 (1995).
29. H. J. Schöpe, G. Bryant, and W. van Megen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.175701 96, 175701 (2006).
30. Q.-H. Wei, C. Bechinger, and P. Leiderer, Science SCIEAS 0036-8075 10.1126/science.287.5453.625 287, 625 (2000).
31. Z. Cheng, J. Zhu, W. B. Russel, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1460 85, 1460 (2000).