Spontaneous and induced dynamic correlations in glass formers. II. Model calculations and comparison to numerical simulations

Journal of Chemical Physics

Volumn 126, Issue 18, 2007, Pages

  Berthier, L ^a   Biroli, G ^b   Bouchaud, J P ^c,d   Kob, W ^a   Miyazaki, K ^e   Reichman, D R ^e  

^a CNRS   (France)

^b CEA SACLAY   (France)

^c SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^d Science and Finance   (France)

^e Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FUNCTION EVALUATION; SUPERCOOLING; THERMAL EFFECTS; VECTORS; WAVE FUNCTIONS;

CORRELATION FUNCTIONS; GLASS FORMING LIQUIDS; KINETICALLY CONSTRAINED MODELS (KCM); MODE COUPLING THEORY (MCT); WAVE VECTORS;

GLASS;

EID: 34248356367     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2721555     Document Type: Article

References (106)

1. E. Donth, The Glass Transition (Springer, Berlin, 2001).
2. K. Binder and W. Kob, Glassy Materials and Disordered Solids (World Scientific, Singapore, 2005).
3. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000).
4. H. Sillescu, J. Non-Cryst. Solids 243, 81 (1999).
5. R. Richert, J. Phys.: Condens. Matter 14, R703 (2002).
6. H. C. Andersen, Proc. Natl. Acad. Sci. U.S.A. 102, 6686 (2005).
7. S. C. Glotzer, J. Non-Cryst. Solids 274, 342 (2000).
8. B. Doliwa and A. Heuer, Phys. Rev. E 61, 6898 (2000).
9. R. Yamamoto and A. Onuki, Phys. Rev. Lett. 81, 4915 (1998).
10. Y. Hiwatari and T. Muranaka, J. Non-Cryst. Solids 235-237, 19 (1998).
11. S. Franz and G. Parisi, J. Phys.: Condens. Matter 12, 6335 (2000).
12. S. Franz, C. Donati, G. Parisi, and S. C. Glotzer, Philos. Mag. B 1364-2812 10.1080/014186399255953 79, 1827 (1999); C. Donati, S. Franz, S. C. Glotzer, and G. Parisi, J. Non-Cryst. Solids 307, 215 (2002).
13. S. Franz, C. Donati, G. Parisi, and S. C. Glotzer, Philos. Mag. B 1364-2812 10.1080/014186399255953 79, 1827 (1999); C. Donati, S. Franz, S. C. Glotzer, and G. Parisi, J. Non-Cryst. Solids 307, 215 (2002).
14. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002).
15. C. Toninelli, M. Wyart, G. Biroli, L. Berthier, and J.-P. Bouchaud, Phys. Rev. E 71, 041505 (2005).
16. L. Berthier, Phys. Rev. E 69, 020201 (2004).
17. L. Berthier, G. Biroli, J.-P. Bouchaud, W. Kob, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. 126, 184503 (2007), preceding paper.
18. P. Mayer, H. Bissig, L. Berthier, L. Cipelletti, J. P. Garrahan, P. Sollich, and V. Trappe, Phys. Rev. Lett. 93, 115701 (2004).
19. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. 95, 265701 (2005).
20. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L'Hôte, F. Ladieu, and M. Pierno, Science 310, 1797 (2005).
21. A. Duri and L. Cipelletti, Europhys. Lett. 76, 972 (2006).
22. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Elsevier, Amsterdam, 1986).
23. J. L. Lebowitz, J. K. Percus, and L. Verlet, Phys. Rev. 153, 250 (1967).
24. T. Gleim, W. Kob, and K. Binder, Phys. Rev. Lett. 81, 4404 (1998).
25. G. Szamel and E. Flenner, Europhys. Lett. 67, 779 (2004).
26. L. Berthier and W. Kob, J. Phys.: Condens. Matter (to be published); cond-mat/0610253.
27. L. Berthier and W. Kob, J. Phys.: Condens. Matter (to be published); cond-mat/0610253.
28. J.-P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Ḿzard, Physica A 226, 243 (1996).
29. W. Götze, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/11/ 10A/002 11, A1 (1999); W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
30. W. Götze, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/11/ 10A/002 11, A1 (1999); W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
31. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
32. G. Szamel and H. Löwen, Phys. Rev. A 44, 8215 (1991).
33. A. Montanari and G. Semerjian, J. Stat. Phys. 125, 23 (2006).
34. G. Biroli, J.-P. Bouchaud, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. 97, 195701 (2006).
35. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. A 37, 4439 (1988).
36. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 40, 1045 (1989).
37. G. Biroli and J. P. Bouchaud, Europhys. Lett. 67, 21 (2004).
38. K. Kawasaki, Physica A 208, 35 (1994).
39. D. S. Dean, J. Phys. A 29, L613 (1996).
40. A. Andreanov, G. Biroli, and A. Lef̀vre, J. Stat. Mech.: Theory Exp. 2006, P07008.
41. S. P. Das, Rev. Mod. Phys. 76, 785 (2004).
42. K. Miyazaki and D. R. Reichman, J. Phys. A 38, L343 (2005).
43. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, Oxford, 2002).
44. D. R. Reichman and P. Charbonneau, J. Stat. Mech.: Theory Exp. 2005, P05013.
45. C. De Dominicis and P. C. Martin, J. Math. Phys. 0022-2488 10.1063/1.1704062 5, 14 (1964); C. De Dominicis and P. Martin, J. Math. Phys. 5, 31 (1964).
46. C. De Dominicis and P. C. Martin, J. Math. Phys. 0022-2488 10.1063/1.1704062 5, 14 (1964); C. De Dominicis and P. Martin, J. Math. Phys. 5, 31 (1964).
47. J.-P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (Editions Phenix, Kiev, 1998).
48. G. Biroli and J.-P. Bouchaud, cond-mat/0609705.
49. C. Bennemann, C. Donati, J. Baschnagel, and S. C. Glotzer, Nature (London) 399, 246 (1999).
50. N. Lačević, F. W. Starr, T. B. Schrøder, and S. C. Glotzer, J. Chem. Phys. 119, 7372 (2003).
51. S. Whitelam, L. Berthier, and J. P. Garrahan, Phys. Rev. Lett. 92, 185705 (2004).
52. D. Chandler, J. P. Garrahan, R. L. Jack, L. Maibaum, and A. C. Pan, Phys. Rev. E 74, 051501 (2006).
53. M. Fuchs, W. Götze, I. Hofacker, and A. Latz, J. Phys.: Condens. Matter 3, 5047 (1991).
54. J. Jäckle and S. Eisinger, Z. Phys. B: Condens. Matter 84, 115 (1991).
55. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.53.1244 53, 1244 (1984); G. H. Fredrickson and H. C. Andersen, J. Chem. Phys. 83, 5822 (1985).
56. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.53.1244 53, 1244 (1984); G. H. Fredrickson and H. C. Andersen, J. Chem. Phys. 83, 5822 (1985).
57. S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461768 95, 4454 (1991); S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461769 95, 4466 (1991); P. Harrowell, Phys. Rev. E 1063-651X 10.1103/PhysRevE.48.4359 48, 4359 (1993); M. Foley and P. Harrowell, J. Chem. Phys. 98, 5069 (1993).
58. S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461768 95, 4454 (1991); S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461769 95, 4466 (1991); P. Harrowell, Phys. Rev. E 1063-651X 10.1103/PhysRevE.48.4359 48, 4359 (1993); M. Foley and P. Harrowell, J. Chem. Phys. 98, 5069 (1993).
59. S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461768 95, 4454 (1991); S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461769 95, 4466 (1991); P. Harrowell, Phys. Rev. E 1063-651X 10.1103/PhysRevE.48.4359 48, 4359 (1993); M. Foley and P. Harrowell, J. Chem. Phys. 98, 5069 (1993).
60. S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461768 95, 4454 (1991); S. Butler and P. Harrowell, J. Chem. Phys. 0021-9606 10.1063/1.461769 95, 4466 (1991); P. Harrowell, Phys. Rev. E 1063-651X 10.1103/PhysRevE.48.4359 48, 4359 (1993); M. Foley and P. Harrowell, J. Chem. Phys. 98, 5069 (1993).
61. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 102, 10837 (2005).
62. L. Berthier and J. P. Garrahan, J. Chem. Phys. 0021-9606 10.1063/1.1593020 119, 4367 (2003); L. Berthier and J. P. Garrahan, Phys. Rev. E 68, 041201 (2003).
63. L. Berthier and J. P. Garrahan, J. Chem. Phys. 0021-9606 10.1063/1.1593020 119, 4367 (2003); L. Berthier and J. P. Garrahan, Phys. Rev. E 68, 041201 (2003).
64. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.185504 92, 185504 (2004); C. Toninelli, G. Biroli, and D. S. Fisher, J. Stat. Phys. 120, 167 (2005).
65. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.185504 92, 185504 (2004); C. Toninelli, G. Biroli, and D. S. Fisher, J. Stat. Phys. 120, 167 (2005).
66. M. Sellitto, G. Biroli, and C. Toninelli, Europhys. Lett. 69, 496 (2005).
67. W. Kob and H. C. Andersen, Phys. Rev. E 48, 4364 (1993).
68. S. Whitelam, L. Berthier, and J. P. Garrahan, Phys. Rev. E 71, 026128 (2005).
69. R. L. Jack, P. Mayer, and P. Sollich, J. Stat. Mech.: Theory Exp. 2006, P03006.
70. N. Cancrini, F. Martinelli, C. Roberto, and C. Toninelli, J. Stat. Mech.: Theory Exp. 2007, L03001.
71. S. N. Taraskin and S. R. Elliott, Europhys. Lett. 0295-5075 10.1209/epl/i1997-00310-1 39, 37 (1997); M. Benoit, S. Ispas, P. Jund, and R. Jullien, Eur. Phys. J. B 1434-6028 10.1007/s100510050079 13, 631 (2000); J. Horbach and W. Kob, Phys. Rev. B 0163-1829 10.1103/PhysRevB.60.3169 60, 3169 (1999); J. Horbach and W. Kob, Phys. Rev. E 64, 041503 (2001).
72. S. N. Taraskin and S. R. Elliott, Europhys. Lett. 0295-5075 10.1209/epl/i1997-00310-1 39, 37 (1997); M. Benoit, S. Ispas, P. Jund, and R. Jullien, Eur. Phys. J. B 1434-6028 10.1007/s100510050079 13, 631 (2000); J. Horbach and W. Kob, Phys. Rev. B 0163-1829 10.1103/PhysRevB.60.3169 60, 3169 (1999); J. Horbach and W. Kob, Phys. Rev. E 64, 041503 (2001).
73. S. N. Taraskin and S. R. Elliott, Europhys. Lett. 0295-5075 10.1209/epl/i1997-00310-1 39, 37 (1997); M. Benoit, S. Ispas, P. Jund, and R. Jullien, Eur. Phys. J. B 1434-6028 10.1007/s100510050079 13, 631 (2000); J. Horbach and W. Kob, Phys. Rev. B 0163-1829 10.1103/PhysRevB.60.3169 60, 3169 (1999); J. Horbach and W. Kob, Phys. Rev. E 64, 041503 (2001).
74. S. N. Taraskin and S. R. Elliott, Europhys. Lett. 0295-5075 10.1209/epl/i1997-00310-1 39, 37 (1997); M. Benoit, S. Ispas, P. Jund, and R. Jullien, Eur. Phys. J. B 1434-6028 10.1007/s100510050079 13, 631 (2000); J. Horbach and W. Kob, Phys. Rev. B 0163-1829 10.1103/PhysRevB.60.3169 60, 3169 (1999); J. Horbach and W. Kob, Phys. Rev. E 64, 041503 (2001).
75. U. Geyer, W. L. Johnson, S. Schneider, Y. Qui, T. A. Tombrello, and M.-P. Macht, Appl. Phys. Lett. 69, 2492 (1996).
76. L. Berthier and J. P. Garrahan, J. Phys. Chem. B 109, 3578 (2005).
77. A. Buhot and J. P. Garrahan, Phys. Rev. E 64, 21505 (2001).
78. P. Sollich and M. R. Evans, Phys. Rev. E 68, 031504 (2003).
79. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 96, 035702 (2006).
80. L. Berthier, Phys. Rev. Lett. 91, 055701 (2003).
81. P. De Gregorio, A. Lawlor, P. Bradley, and K. A. Dawson, Phys. Rev. Lett. 93, 025501 (2004).
82. L. Berthier, G. Biroli, and C. Toninelli (unpublished).
83. J. P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 100, 9710 (2003).
84. G. Szamel and E. Flenner, Phys. Rev. E 74, 021507 (2006).
85. G. Biroli, J.-P. Bouchaud, and G. Tarjus, J. Chem. Phys. 123, 044510 (2005).
86. D. Chandler and J.-P. Garrahan, J. Chem. Phys. 123, 044511 (2005).
87. W. Kob and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994); W. Kob and H. C. Andersen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.52.4134 53, 4134 (1995); W. Kob and H. C. Andersen, Phys. Rev. E 52, 4626 (1995).
88. W. Kob and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994); W. Kob and H. C. Andersen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.52.4134 53, 4134 (1995); W. Kob and H. C. Andersen, Phys. Rev. E 52, 4626 (1995).
89. W. Kob and H. C. Andersen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994); W. Kob and H. C. Andersen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.52.4134 53, 4134 (1995); W. Kob and H. C. Andersen, Phys. Rev. E 52, 4626 (1995).
90. B. W. H. van Beest, G. J. Kramer, and R. A. van Santen, Phys. Rev. Lett. 64, 1955 (1990).
91. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).
92. M. Nauroth and W. Kob, Phys. Rev. E 55, 657 (1997).
93. C. Alba-Simioneso, L. Berthier, G. Biroli, J.-P. Bouchaud, C. Dalle-Ferrier, D. L'Hôte, F. Ladieu, G. Tarjus, and C. Thibierge (unpublished).
94. X. Y. Xia and P. G. Wolynes, Proc. Natl. Acad. Sci. U.S.A. 97, 2990 (2000).
95. P. Viot, G. Tarjus, and D. Kivelson, J. Chem. Phys. 112, 10368 (2000).
96. J.-P. Bouchaud and G. Biroli, J. Chem. Phys. 121, 7347 (2004).
97. U. Tracht, M. Wilhelm, A. Heuer, H. Feng, K. Schmidt-Rohr, and H. W. Spiess, Phys. Rev. Lett. 81, 2727 (1998).
98. S. A. Reinsberg, X. H. Qiu, M. Wilhelm, H. W. Spiess, and M. D. Ediger, J. Chem. Phys. 114, 7299 (2001).
99. X. H. Qiu and M. D. Ediger, J. Phys. Chem. B 107, 459 (2003).
100. J. D. Stevenson, J. Schmalian, and P. G. Wolynes, Nat. Phys. 2, 268 (2006).
101. P. Chandra, M. V. Feigelman, and L. B. Ioffe, Phys. Rev. Lett. 76, 4805 (1996).
102. A. V. Lopatin and L. B. Ioffe, Phys. Rev. B 66, 174202 (2002).
103. K.-K. Loh, K. Kawasaki, A. R. Bishop, T. Lookman, A. Saxena, Z. Nussinov, and J. Schmalian, Phys. Rev. E 69, 010501 (R) (2004).
104. S. Franz and F. L. Toninelli, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.030602 92, 030602 (2004); S. Franz and F. L. Toninelli, J. Phys. A 37, 7433 (2004).
105. S. Franz and F. L. Toninelli, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.030602 92, 030602 (2004); S. Franz and F. L. Toninelli, J. Phys. A 37, 7433 (2004).
106. B. Kim and A. Latz, Europhys. Lett. 53, 660 (2001).