Lengthscale dependence of dynamic four-point susceptibilities in glass formers

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

Volumn 74, Issue 5, 2006, Pages

  Chandler, David ^a   Garrahan, Juan P ^b   Jack, Robert L ^a   Maibaum, Lutz ^a   Pan, Albert C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; FORMING; MAGNETIC SUSCEPTIBILITY; MATHEMATICAL MODELS;

FOUR POINT SUSCEPTIBILITIES; GLASS FORMING SYSTEMS; KINETICALLY CONSTRAINED MODELS;

GLASS;

EID: 33750711378     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.051501     Document Type: Article

References (38)

1. For reviews see H. Sillescu, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(98)00831-X 243, 81 (1999);
2. M. D. Ediger, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99 51, 99 (2000);
3. S. C. Glotzer, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022- 3093(00)00225-8 274, 342 (2000);
4. R. Richert, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/23/201 14, R703 (2002);
5. H. C. Andersen, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0500946102 102, 6686 (2005).
6. R. Yamamoto and A. Onuki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.3515 58, 3515 (1998).
7. C. Bennemann, C. Donati, J. Baschnagel, and S. C. Glotzer, Nature (London) NATUAS 0028-0836 10.1038/20406 399, 246 (1999).
8. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.035704 89, 035704 (2002).
9. G. Biroli and J. P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10156-5 67, 21 (2004);
10. G. Biroli, J. P. Bouchaud, K. Miyazaki, and D. R. Reichman, cond-mat/0605733 (unpublished).
11. S. Franz, C. Donati, G. Parisi, and S. C. Glotzer, Philos. Mag. B PMABDJ 1364-2812 10.1080/014186399255953 79, 1827 (1999).
12. L. Berthier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.020201 69, 020201 (R) (2004).
13. C. Toninelli, M. Wyart, L. Berthier, G. Biroli, and J. P. Bouchaud, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.041505 71, 041505 (2005).
14. In, e.g., Ref., only the fluctuations of the real part of δF(k,t) were considered. We prefer to consider the full phase factor since both real and imaginary parts contribute to the Fourier transform of the density; both parts contribute to our χ4 (k,t). Numerical contributions of the two components of of χ4 (k,t) are similar, except when either of k or t is very large or very small.
15. N. Lacevic, F. W. Starr, T. B. Schrøder, and S. C. Glotzer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1605094 119, 7372 (2003).
16. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.265701 95, 265701 (2005).
17. F. Ritort and P. Sollich, Adv. Phys. ADPHAH 0001-8732 10.1080/0001873031000093582 52, 219 (2003).
18. Y.-J. Jung, J. P. Garrahan, and D. Chandler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061205 69, 061205 (2004).
19. Y.-J. Jung, J. P. Garrahan, and D. Chandler, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2001629 123, 084509 (2005).
20. L. Berthier, D. Chandler, and J. P. Garrahan, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10401-5 69, 320 (2005).
21. L. Maibaum, Ph.D. thesis, University of California Berkeley (2005).
22. J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1674820 54, 5237 (1971).
23. J. Jäckle and A. Krönig, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/38/005 6, 7633 (1994).
24. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.1244 53, 1244 (1984).
25. See, e.g., F. Fujara, B. Geil, H. Sillescu, and G. Fleischer, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01323572 88, 195 (1992);
26. M. T. Cicerone and M. D. Ediger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471433 104, 7210 (1996);
27. S. F. Swallen, P. A. Bonvallet, R. J. McMahon, and M. D. Ediger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.015901 90, 015901 (2003).
28. E. W. Montroll and G. H. Weiss, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704269 6, 167 (1965).
29. W. Gotze, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/ 11/10A/002 11, A1 (1999).
30. M. Fuchs, W. Gotze, and M. R. Mayr, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.3384 58, 3384 (1998).
31. G. Foffi, W. Gotze, F. Sciortino, P. Tartaglia, and T. Voigtmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.011505 69, 011505 (2004).
32. E. Flenner and G. Szamel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031508 72, 031508 (2005).
33. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. E. Masri, D. L'Hote, F. Ladieu, and M. Pierno, Science SCIEAS 0036-8075 10.1126/science. 1120714 310, 1797 (2005).
34. J. L. Lebowitz, J. K. Percus, and L. Verlet, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.153.250 153, 250 (1967).
35. G. Wahnstrom, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.3752 44, 3752 (1991).
36. L. Maibaum, D. Chandler, and J. P. Garrahan (unpublished).
37. A. C. Pan, J. P. Garrahan, and D. Chandler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.041106 72, 041106 (2005).
38. G. Szamel and E. Flenner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.021507 74, 021507 (2006).