Relationship between bond-breakage correlations and four-point correlations in heterogeneous glassy dynamics: Configuration changes and vibration modes

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

Volumn 86, Issue 4, 2012, Pages

  Shiba, Hayato ^a   Kawasaki, Takeshi ^b   Onuki, Akira ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOND BREAKAGE; BROKEN BONDS; CORRELATION FUNCTION; DYNAMIC HETEROGENEITY; FOUR-POINT; FUNCTION OF TIME; GLASSY DYNAMICS; LOW-FREQUENCY VIBRATION; PARTICLE SYSTEMS; SPACE-TIME BEHAVIOR; SPATIAL CORRELATIONS; STRUCTURE FACTORS; SYSTEM SIZE; TWO-DIMENSION; VIBRATION MODES;

CONDENSED MATTER PHYSICS;

PHYSICS;

EID: 84867439254     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.041504     Document Type: Article

References (79)

1. K. Binder and W. Kob, Glassy Materials and Disordered Solids (World Scientific, Singapore, 2005).
2. G. Adam and J. H. Gibbs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1696442 43, 139 (1965).
3. H. Sillescu, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(98) 00831-X 243, 81 (1999).
4. M. D. Ediger, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99 51, 99 (2000).
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, Oxford, 2011).
6. K. Maeda and S. Takeuchi, Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.2210490233 44, 685 (1978);
7. K. Maeda and S. Takeuchi, Philos. Mag. A PMAADG 0141-8610 10.1080/01418618108236167 44, 643 (1981).
8. D. Srolovitz, V. Vitek, and T. Egami, Acta. Metall. AMETAR 0001-6160 10.1016/0001-6160(83)90110-4 31, 335 (1983). (Pubitemid 13487198)
9. D. Deng, A. S. Argon, and S. Yip, Philos. Trans. R. Soc. London, Ser. A PTRMAD 1364-503X 10.1098/rsta.1989.0091 329, 595 (1989);
10. D. Deng, A. S. Argon, and S. Yip, Philos. Trans. R. Soc. London, Ser. A 1364-503X 10.1098/rsta.1989.0092 329, 613 (1989).
11. M. M. Hurley and P. Harrowell, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.1694 52, 1694 (1995).
12. D. N. Perera and P. Harrowell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.120 81, 120 (1998);
13. D. N. Perera and P. Harrowell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479804 111, 5441 (1999).
14. T. Muranaka and Y. Hiwatari, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.R2735 51, R2735 (1995).
15. Y. Hiwatari and T. Muranaka, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(98)00582-1 235-237, 19 (1998). Figure 6 of their paper is similar to Fig. in the present paper.
16. R. Yamamoto and A. Onuki, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.66.2545 66, 2545 (1997).
17. α;
18. R. Yamamoto and A. Onuki, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/29/304 29, 6323 (2000).
19. W. Kob, C. Donati, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2827 79, 2827 (1997);
20. C. Donati, J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2338 80, 2338 (1998);
21. C. Donati, S. C. Glotzer, P. H. Poole, W. Kob, and S. J. Plimpton, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.3107 60, 3107 (1999).
22. D. N. Perera, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/45/002 10, 10115 (1998).
23. B. Doliwa and A. Heuer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.6898 61, 6898 (2000);
24. B. Doliwa and A. Heuer, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(02)01437-0 307-310, 32 (2002). (Pubitemid 34862246)
25. D. Chandler, J. P. Garrahan, R. L. Jack, L. Maibaum, and A. C. Pan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.051501 74, 051501 (2006). (Pubitemid 44703857)
26. G. Biroli, J.-P. Bouchaud, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.195701 97, 195701 (2006). (Pubitemid 44707961)
27. R. Candelier, A. Widmer-Cooper, J. K. Kummerfeld, O. Dauchot, G. Biroli, P. Harrowell, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.135702 105, 135702 (2010).
28. T. Kawasaki, T. Araki, and H. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.215701 99, 215701 (2007). (Pubitemid 350137181)
29. R. Yamamoto and A. Onuki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4915 81, 4915 (1998).
30. N. Lačević, F. W. Starr, T. B. Schroder, and S. C. Glotzer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1605094 119, 7372 (2003).
31. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. E. Masri, D. L'Hôte, F. Ladieu, and M. Pierno, Science SCIEAS 0036-8075 10.1126/science.1120714 310, 1797 (2005). (Pubitemid 41818947)
32. L. Berthier, G. Biroli, J.-P. Bouchaud, W. Kob, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2721554 126, 184503 (2007); (Pubitemid 46745219)
33. L. Berthier, G. Biroli, J.-P. Bouchaud, W. Kob, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2721555 126, 184504 (2007). (Pubitemid 46743622)
34. D. Chandler, J. P. Garrahan, R. L. Jack, L. Maibaum, and A. C. Pan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.051501 74, 051501 (2006). (Pubitemid 44703857)
35. S. Karmakar, C. Dasgupta, and S. Sastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.015701 105, 015701 (2010);
36. S. Karmakar, C. Dasgupta, and S. Sastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.019801 105, 019801 (2010).
37. E. Flenner, M. Zhang, and G. Szamel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051501 83, 051501 (2011).
38. H. Mizuno and R. Yamamoto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.011506 84, 011506 (2011).
39. A. Furukawa and H. Tanaka, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.061503 84, 061503 (2011).
40. H. R. Schober and B. B. Laird, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.6746 44, 6746 (1991).
41. W. Schirmacher, G. Diezemann, and C. Ganter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.136 81, 136 (1998).
42. H. R. Schober, C. Oligschleger, and B. B. Laird, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/0022-3093(93)90106-8 156-158, 965 (1993); (Pubitemid 23686267)
43. C. Oligschleger and H. R. Schober, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.811 59, 811 (1999).
44. L. Angelani, M. Montagna, G. Ruocco, and G. Viliani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4874 84, 4874 (2000).
45. A. Tanguy, J. P. Wittmer, F. Leonforte, and J.-L. Barrat, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.174205 66, 174205 (2002);
46. F. Leonforte, R. Boissiere, A. Tanguy, J. P. Wittmer, and J.-L. Barrat, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.224206 72, 224206 (2005); (Pubitemid 43022613)
47. F. Leonforte, A. Tanguy, J. P. Wittmer, and J.-L. Barrat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.055501 97, 055501 (2006). (Pubitemid 44156703)
48. H. R. Schober and G. Ruocco, Philos. Mag. 1478-6435 10.1080/ 14786430310001644107 84, 1361 (2004).
49. H. Shintani and H. Tanaka, Nature Mater. 1476-1122 10.1038/nmat2293 7, 870 (2008).
50. C. Brito and M. Wyart, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3157261 131, 024504 (2009).
51. A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, Nature Phys. 1745-2473 10.1038/nphys1025 4, 711 (2008);
52. A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3265983 131, 194508 (2009).
53. A. Ghosh, V. K. Chikkadi, P. Schall, J. Kurchan, and D. Bonn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.248305 104, 248305 (2010).
54. 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. PRLTAO 0031-9007 10.1103/PhysRevLett.105.025501 105, 025501 (2010).
55. K. Chen, M. L. Manning, P. J. Yunker, W. G. Ellenbroek, Z. Zhang, A. J. Liu, and A. G. Yodh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107. 108301 107, 108301 (2011).
56. K. Vollmayr-Lee, W. Kob, K. Binder, and A. Zippelius, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1453962 116, 5158 (2002).
57. A. Widmer-Cooper and P. Harrowell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.185701 96, 185701 (2006).
58. T. Hamanaka and A. Onuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.011506 74, 011506 (2006); (Pubitemid 44127498)
59. T. Hamanaka and A. Onuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.041503 75, 041503 (2007). (Pubitemid 46663443)
60. H. Zhang, D. J. Srolovitz, J. F. Douglas, and J. A. Warren, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.115404 74, 115404 (2006); (Pubitemid 44360282)
61. H. Zhang, D. J. Srolovitz, J. F. Douglas, and J. A. Warren, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0900227106 106, 7735 (2009).
62. H. Shiba and A. Onuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81. 051501 81, 051501 (2010).
63. M. Tsamados, A. Tanguy, C. Goldenberg, and J.-L. Barrat, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.026112 80, 026112 (2009).
64. K. Yoshimoto, T. S. Jain, K. Van Workum, P. F. Nealey, and J. J. de Pablo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.175501 93, 175501 (2004).
65. Y. Shi, M. B. Katz, H. Li, and M. L. Falk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.185505 98, 185505 (2007); (Pubitemid 46701721)
66. A. Lemaitre and C. Caroli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.036104 76, 036104 (2007); (Pubitemid 47443137)
67. A. Furukawa, K. Kim, S. Saito, and H. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.016001 102, 016001 (2009).
68. M. L. Manning and A. J. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.108302 107, 108302 (2011).
69. E. Rabani, J. D. Gezelter, and B. J. Berne, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474927 107, 6867 (1997);
70. E. Rabani, J. D. Gezelter, and B. J. Berne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3649 82, 3649 (1999).
71. A. R. Abate and D. J. Durian, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.031308 74, 031308 (2006). (Pubitemid 44483525)
72. B. Jancovici, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.20 19, 20 (1967);
73. Y. Imry and L. Gunther, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.3.3939 3, 3939 (1971);
74. D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.19.2457 19, 2457 (1979).
75. T. Muranaka and Y. Hiwatari, Mol. Simul. MOSIEA 0892-7022 10.1080/08927029608024087 16, 387 (1996);
76. J. Horbach, W. Kob, K. Binder, and C. A. Angell, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.R5897 54, R5897 (1996).
77. K. Kim and R. Yamamoto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.R41 61, R41 (2000).
78. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.265701 95, 265701 (2005). (Pubitemid 43279318)
79. G. Pastore, B. Bernu, J. P. Hansen, and Y. Hiwatari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.454 38, 454 (1988).