Scaling analysis of dynamic heterogeneity in a supercooled Lennard-Jones liquid

Physical Review Letters

Volumn 101, Issue 26, 2008, Pages

  Stein, Richard S L ^a,b   Andersen, Hans C ^a  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION FUNCTIONS; CORRELATION LENGTHS; COUPLING TEMPERATURES; COUPLING THEORIES; DYNAMIC HETEROGENEITIES; FRAGILE LIQUIDS; KINETICALLY CONSTRAINED MODELS; LENNARD JONESES; LIQUID MIXTURES; LIQUID TEMPERATURES; MOBILITY FLUCTUATIONS; MOLECULAR DYNAMICS COMPUTER SIMULATIONS; RELAXATION REGIMES; SCALING ANALYSIS;

CORRELATION METHODS; DYNAMICS; LIQUIDS; MOLECULAR DYNAMICS; QUANTUM CHEMISTRY; SUPERCOOLING; TECHNETIUM;

DYNAMIC ANALYSIS;

EID: 58149461537     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.267802     Document Type: Article

References (41)

1. H.C. Andersen, Proc. Natl. Acad. Sci. U.S.A. 102, 6686 (2005). PNASA6 0027-8424 10.1073/pnas.0500946102
2. R. Richert, J. Phys. Condens. Matter JCOMEL 0953-8984 14, R703 (2002). 10.1088/0953-8984/14/23/201
3. M.D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99
4. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003). ADPHAH 0001-8732 10.1080/0001873031000093582
5. E. Hempel, G. Hempel, A. Hensel, C. Schick, and E. Donth, J. Phys. Chem. B 104, 2460 (2000). JPCBFK 1520-6106 10.1021/jp991153f
6. L. Berthier, Phys. Rev. E PLEEE8 1539-3755 69, 020201 (2004). 10.1103/PhysRevE.69.020201
7. G. Biroli and J.-P. Bouchaud, Europhys. Lett. 67, 21 (2004). EULEEJ 0295-5075 10.1209/epl/i2004-10044-6
8. E. Flenner and G. Szamel, Phys. Rev. E PLEEE8 1539-3755 70, 052501 (2004). 10.1103/PhysRevE.70.052501
9. L. Berthier, D. Chandler, and J.P. Garrahan, Europhys. Lett. 69, 320 (2005). EULEEJ 0295-5075 10.1209/epl/i2004-10401-5
10. Y. Gebremichael, M. Vogel, and S.C. Glotzer, J. Chem. Phys. 120, 4415 (2004). JCPSA6 0021-9606 10.1063/1.1644539
11. Y.J. Jung, Juan P. Garrahan, and D. Chandler, Phys. Rev. E PLEEE8 1539-3755 69, 061205 (2004). 10.1103/PhysRevE.69.061205
12. S. Whitelam, L. Berthier, and J.P. Garrahan, Phys. Rev. Lett. 92, 185705 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.185705
13. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L'Hôte, F. Ladieu, and M. Pierno, Science 310, 1797 (2005). SCIEAS 0036-8075 10.1126/science.1120714
14. E. Flenner and G. Szamel, Phys. Rev. E PLEEE8 1539-3755 72, 031508 (2005). 10.1103/PhysRevE.72.031508
15. L. Berthier and J.P. Garrahan, J. Phys. Chem. B 109, 3578 (2005). JPCBFK 1520-6106 10.1021/jp045491e
16. Y.J. Jung, J.P. Garrahan, and D. Chandler, J. Chem. Phys. 123, 084509 (2005). JCPSA6 0021-9606 10.1063/1.2001629
17. S. Léonard and L. Berthier, J. Phys. Condens. Matter JCOMEL 0953-8984 17, S3571 (2005). 10.1088/0953-8984/17/45/050
18. M. Merolle, J.P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 102, 10837 (2005). PNASA6 0027-8424 10.1073/pnas.0504820102
19. A.C. Pan, J.P. Garrahan, and D. Chandler, Phys. Rev. E 72, PLEEE8 1539-3755 041106 (2005). 10.1103/PhysRevE.72.041106
20. S. Whitelam, L. Berthier, and J.P. Garrahan, Phys. Rev. E PLEEE8 1539-3755 71, 026128 (2005). 10.1103/PhysRevE.71.026128
21. L. Berthier, G. Biroli, J.-P. Bouchaud, W. Kob, K. Miyazaki, and D.R. Reichman, J. Chem. Phys. 126, 184503 (2007). JCPSA6 0021-9606 10.1063/1.2721554
22. G. Biroli, J.-P. Bouchaud, K. Miyazaki, and D.R. Reichman, Phys. Rev. Lett. 97, 195701 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.195701
23. D. Chandler, J.P. Garrahan, R.L. Jack, L. Maibaum, and A.C. Pan, Phys. Rev. E PLEEE8 1539-3755 74, 051501 (2006). 10.1103/PhysRevE.74.051501
24. G. Szamel and E. Flenner, Phys. Rev. E PLEEE8 1539-3755 74, 021507 (2006). 10.1103/PhysRevE.74.021507
25. G.H. Fredrickson and H.C. Andersen, Phys. Rev. Lett. 53, 1244 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.1244
26. J.P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.035704
27. L. Berthier and J.P. Garrahan, Phys. Rev. E PLEEE8 1539-3755 68, 041201 (2003). 10.1103/PhysRevE.68.041201
28. W. Götze, Aspects of Structural Glass Transitions, edited by, J.P. Hansen, D. Levesque, and, J. Zinn-Justin, (Elsevier Science Publishers B.V., Amsterdam, 1991).
29. T.R. Kirkpatrick and P.G. Wolynes, Phys. Rev. B PRBMDO 0163-1829 36, 8552 (1987). 10.1103/PhysRevB.36.8552
30. T.R. Kirkpatrick, D. Thirumalai, and P.G. Wolynes, Phys. Rev. A 40, 1045 (1989). PLRAAN 1050-2947 10.1103/PhysRevA.40.1045
31. X. Xia and P.G. Wolynes, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 97, 2990 (2000). 10.1073/pnas.97.7.2990
32. V. Lubchenko and P.G. Wolynes, J. Chem. Phys. 119, 9088 (2003). JCPSA6 0021-9606 10.1063/1.1614180
33. W. Kob, C. Donati, S.J. Plimpton, P.H. Poole, and S.C. Glotzer, Phys. Rev. Lett. 79, 2827 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.2827
34. S.C. Glotzer, V.N. Novikov, and T.B. Schrøder, J. Chem. Phys. 112, 509 (2000). JCPSA6 0021-9606 10.1063/1.480541
35. N. Lačević, F.W. Starr, T.B. Schrøder, V.N. Novikov, and S.C. Glotzer, Phys. Rev. E PLEEE8 1539-3755 66, 030101(R) (2002). 10.1103/PhysRevE.66.030101
36. N. Lačević, F.W. Starr, T.B. Schrøder, and S.C. Glotzer, J. Chem. Phys. 119, 7372 (2003). JCPSA6 0021-9606 10.1063/1.1605094
37. W. Kob and H.C. Andersen, Phys. Rev. Lett. 73, 1376 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.73.1376
38. W. Kob H.C. Andersen Phys. Rev. E PLEEE8 1539-3755 51, 4626 (1995); 10.1103/PhysRevE.51.4626
39. W. Kob H.C. Andersen Phys. Rev. E PLEEE8 1539-3755 52, 4134 (1995). 10.1103/PhysRevE.52.4134
40. K. Vollmayr-Lee, W. Kob, K. Binder, and A. Zippelius, J. Chem. Phys. 116, 5158 (2002). JCPSA6 0021-9606 10.1063/1.1453962
41. The error estimates for the exponents are "asymptotic standard errors" calculated in least squares fitting of functional forms to the data (http://www.gnuplot.info/docs/node86.html). They are only a qualitative estimate of the error.