A small subset of normal modes mimics the properties of dynamical heterogeneity in a model supercooled liquid

Journal of Chemical Physics

Volumn 138, Issue 12, 2013, Pages

  Hocky, Glen M ^a   Reichman, David R ^a  

^a Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL HETEROGENEITIES; ENERGY LANDSCAPE; GLASSY PHENOMENA; JAMMING SYSTEMS; NORMAL MODES; SUPERCOOLED LIQUIDS; TWO DIMENSIONAL MODEL;

CRYOGENIC LIQUIDS; JAMMING;

SUPERCOOLING;

EID: 84875802319     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4790799     Document Type: Article

References (55)

1. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 100, 13200 (1996). 10.1021/jp953538d
2. P. Debenedetti, F. Stillinger, Nature (London) 410, 259 (2001). 10.1038/35065704
3. L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011). 10.1103/RevModPhys.83.587
4. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). 10.1146/annurev. physchem.51.1.99
5. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, and W. van Saarloos, Dynamical Heterogeneities in Glasses, Colloids, and Granular Media (Oxford University Press, 2011)
6. A. J. Liu and S. R. Nagel, Nature (London) 396, 21 (1998). 10.1038/23819
7. A. J. Liu and S. R. Nagel, Annu. Rev. Condens. Matter Phys. 1, 347 (2010). 10.1146/annurev-conmatphys-070909-104045
8. Z. Zhang, N. Xu, D. T. N. Chen, P. Yunker, A. M. Alsayed, K. B. Aptowicz, P. Habdas, A. J. Liu, S. R. Nagel, and A. G. Yodh, Nature (London) 459, 230 (2009). 10.1038/nature07998
9. T. K. Haxton, M. Schmiedeberg, and A. J. Liu, Phys. Rev. E 83, 031503 (2011). 10.1103/PhysRevE.83.031503
10. A. Ikeda, L. Berthier, and P. Sollich, Phys. Rev. Lett. 109, 018301 (2012). 10.1103/PhysRevLett.109.018301
11. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. 95, 265701 (2005). 10.1103/PhysRevLett.95.265701
12. A. Keys, A. Abate, S. Glotzer, and D. Durian, Nat. Phys. 3, 260 (2007). 10.1038/nphys572
13. O. Dauchot, D. Durian, and M. van Hecke, in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media (Oxford University Press, 2011), pp. 110-151
14. L. Silbert, A. Liu, and S. Nagel, Phys. Rev. Lett. 95, 098301 (2005). 10.1103/PhysRevLett.95.098301
15. N. Xu, M. Wyart, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 98, 175502 (2007). 10.1103/PhysRevLett.98.175502
16. N. Xu, V. Vitelli, M. Wyart, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 102, 038001 (2009). 10.1103/PhysRevLett.102.038001
17. C. P. Goodrich, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 109, 095704 (2012). 10.1103/PhysRevLett.109.095704
18. H. R. Schober and B. B. Laird, Phys. Rev. B 44, 6746 (1991). 10.1103/PhysRevB.44.6746
19. B. B. Laird and H. R. Schober, Phys. Rev. Lett. 66, 636 (1991). 10.1103/PhysRevLett.66.636
20. G. Biroli, J.-P. Bouchaud, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. 97, 195701 (2006). 10.1103/PhysRevLett.97.195701
21. F. Krzakala and J. Kurchan, Phys. Rev. E 76, 021122 (2007). 10.1103/PhysRevE.76.021122
22. J. Kurchan and L. Laloux, J. Phys. A 29, 1929 (1996). 10.1088/0305-4470/29/9/009
23. C. Brito and M. Wyart, EPL 76, 149 (2006). 10.1209/epl/i2006-10238-x
24. C. Brito and M. Wyart, J. Chem. Phys. 131, 024504 (2009). 10.1063/1.3157261
25. A. Widmer-Cooper, P. Harrowell, and H. Fynewever, Phys. Rev. Lett. 93, 135701 (2004). 10.1103/PhysRevLett.93.135701
26. A. Widmer-Cooper and P. Harrowell, J. Phys: Condens. Matter 17, S4025 (2005). 10.1088/0953-8984/17/49/001
27. A. Widmer-Cooper and P. Harrowell, Phys. Rev. Lett. 96, 185701 (2006). 10.1103/PhysRevLett.96.185701
28. A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, Nat. Phys. 4, 711 (2008). 10.1038/nphys1025
29. A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, J. Chem. Phys. 131, 194508 (2009). 10.1063/1.3265983
30. R. Candelier, A. Widmer-Cooper, J. K. Kummerfeld, O. Dauchot, G. Biroli, P. Harrowell, and D. R. Reichman, Phys. Rev. Lett. 105, 135702 (2010). 10.1103/PhysRevLett.105.135702
31. N. Xu, V. Vitelli, A. J. Liu, and S. R. Nagel, Euro. Phys. Lett. 90, 56001 (2010). 10.1209/0295-5075/90/56001
32. C. Brito, O. Dauchot, G. Biroli, and J.-P. Bouchaud, Soft Matter 6, 3013 (2010). 10.1039/c001360a
33. A. Ghosh, V. Chikkadi, P. Schall, J. Kurchan, and D. Bonn, Phys. Rev. Lett. 104, 248305 (2010). 10.1103/PhysRevLett.104.248305
34. K. Chen, W. G. Ellenbroek, Z. Zhang, D. T. N. Chen, P. J. Yunker, S. Henkes, C. Brito, O. Dauchot, W. van Saarloos, A. J. Liu, and A. G. Yodh, Phys. Rev. Lett. 105, 025501 (2010). 10.1103/PhysRevLett.105.025501
35. K. Chen, M. L. Manning, P. J. Yunker, W. G. Ellenbroek, Z. Zhang, A. J. Liu, and A. G. Yodh, Phys. Rev. Lett. 107, 108301 (2011). 10.1103/PhysRevLett. 107.108301
36. C. Brito and M. Wyart, J. Stat. Mech.: Theory Exp. 2007, L08003. 10.1088/1742-5468/2007/08/L08003
37. R. Brüning, D. A. St-Onge, S. Patterson, and W. Kob, J. Phys. Condens. Matter 21, 035117 (2009). 10.1088/0953-8984/21/3/035117
38. S. Karmakar and I. Procaccia, Phys. Rev. E 86, 061502 (2012). 10.1103/PhysRevE.86.061502
39. W. Kob and H. Andersen, Phys. Rev. Lett. 73, 1376 (1994). 10.1103/PhysRevLett.73.1376
40. F. Stillinger and T. Weber, Phys. Rev. A 25, 978 (1982). 10.1103/PhysRevA.25.978
41. T. Weber and F. Stillinger, J. Chem. Phys. 81, 5089 (1984). 10.1063/1.447498
42. T. A. Weber and F. H. Stillinger, Phys. Rev. B 31, 1954 (1985). 10.1103/PhysRevB.31.1954
43. S. Sastry, P. Debenedetti, and F. Stillinger, Nature (London) 393, 554 (1998). 10.1038/31189
44. T. B. Schroder, S. Sastry, J. C. Dyre, and S. C. Glotzer, J. Chem. Phys. 112, 9834 (2000). 10.1063/1.481621
45. A. S. Keys, L. O. Hedges, J. P. Garrahan, S. C. Glotzer, and D. Chandler, Phys. Rev. X 1, 021013 (2011). 10.1103/PhysRevX.1.021013
46. S. Plimpton, J. Comp. Phys. 117, 1 (1995). 10.1006/jcph.1995.1039
47. B. Doliwa and A. Heuer, Phys. Rev. E 67, 030501 (2003). 10.1103/PhysRevE.67.030501
48. B. Doliwa and A. Heuer, Phys. Rev. E 67, 031506 (2003). 10.1103/PhysRevE.67.031506
49. R. A. Denny, D. R. Reichman, and J.-P. Bouchaud, Phys. Rev. Lett. 90, 025503 (2003). 10.1103/PhysRevLett.90.025503
50. In fact, all quantities computed which compare modes with inherent structure transition displacement vectors were identical within error bars if computed using pre- and post-transition modes, and hence when calculating the values in Figs. we average both sets of data for increased statistical accuracy
51. B. Efron and R. Tibshirani, An Introduction to the Bootstrap (Chapman and Hall/CRC, 1993), Vol. 57
52. R. Mari, F. Krzakala, and J. Kurchan, Phys. Rev. Lett. 103, 025701 (2009). 10.1103/PhysRevLett.103.025701
53. G. Parisi and F. Zamponi, Rev. Mod. Phys. 82, 789 (2010). 10.1103/RevModPhys.82.789
54. D. J. Ashton and J. P. Garrahan, Euro. Phys. J. E 30, 303 (2009). 10.1140/epje/i2009-10531-6
55. M. Wilde, M. Hategan, J. M. Wozniak, B. Clifford, D. S. Katz, and I. Foster, Parallel Comput. 37, 633 (2011). 10.1016/j.parco.2011.05.005