Real space origin of temperature crossovers in supercooled liquids

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 68, Issue 4, 2003, Pages

  Berthier, Ludovic ^a,b   Garrahan, Juan P ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIV MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035272401     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.041201     Document Type: Article

References (90)

1. M.D. Ediger, C.A. Angell, and S.R. Nagel, J. Phys. Chem. 100, 13200 (1996).
2. C.A. Angell, Science 267, 1924 (1995).
3. P.G. Debenedetti and F.H. Stillinger, Nature (London) 410, 259 (2001).
4. P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, 1996).
5. J.P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002).
6. L. Berthier and J. P. Garrahan, J. Chem. Phys. 119, 4367 (2003).
7. J.P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 100, 9710 (2003).
8. L. Berthier, Phys. Rev. Lett. 91, 055701 (2003).
9. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 55 (1992).
10. W. Götze, J. Phys.: Condens. Matter 11, A1 (1999).
11. W. Kob, in Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter, edited by J.-L. Barrat, J. Dalibard, M.V. Feigel’man, and J. Kurchan, (Springer-Verlag, Berlin, 2003), cond-mat/0212344.
12. For reviews on dynamic heterogeneity, see, H. Sillescu, J. Non-Cryst. Solids 243, 81 (1999);
13. M.D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000).
14. W. Kob and H.C. Andersen, Phys. Rev. Lett. 73, 1376 (1994);
15. W. KobH.C. AndersenPhys. Rev. E 51, 4626 (1995);
16. Phys. Rev. EW. KobH.C. Andersen52, 4134 (1995).
17. W. Götze and T. Voigtmann, Phys. Rev. E 61, 4133 (2000).
18. G. Tarjus and D. Kivelson, in Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor & Francis, New York, 2001).
19. E. J. Donth, The Glass Transition (Springer-Verlag, Berlin, 2001).
20. E. Rössler and A.P. Sokolov, Chem. Geol. 128, 143 (1996).
21. F. Stickel, E.W. Fischer, and R. Richert, J. Chem. Phys. 104, 2043 (1996).
22. C.A. Angell, J. Phys. Chem. Solids 49, 863 (1988);
23. C.A. AngellJ. Phys.: Condens. Matter 12, 6463 (2000).
24. M. Goldstein, J. Chem. Phys. 51, 3728 (1969).
25. F.H. Stillinger and T.A. Weber, Phys. Rev. A 25, 978 (1982);
26. Phys. Rev. AF.H. StillingerT.A. Weber28, 2408 (1983);
27. F.H. StillingerT.A. WeberScience 225, 983 (1984).
28. F.H. Stillinger, Science 267, 1935 (1995).
29. S. Sastry, P.G. Debenedetti, and F.H. Stillinger, Nature (London) 393, 554 (1998).
30. S. Büchner and A. Heuer, Phys. Rev. E 60, 6518 (1999).
31. S. Büchner and A. Heuer, Phys. Rev. Lett. 84, 2168 (2000).
32. T.B. Schroder, S. Sastry, J.C. Dyre, and S.C. Glotzer, J. Chem. Phys. 112, 9834 (2000).
33. P. Jund and R. Jullien, Phys. Rev. Lett. 83, 2210 (1999).
34. T. Keyes and J. Chowdhary, Phys. Rev. E 65, 041106 (2002).
35. For extension of the landscape ideas in the glass phase see: C.A. Angell, Y. Yue, L.M. Wang, J.R.D. Copley, S. Borick, and S. Mossa, J. Phys. C 15, S1051 (2003);
36. T.S. Grigera, V. Martin-Mayor, G. Parisi, and P. Verrocchio, Nature (London) 422, 289 (2003);
37. for alternative real space interpretations, see, e.g., E. Duval, L. Saviot, L. David, S. Etienne, and J. F. Jal, Europhys. Lett. 63, 778 (2003).
38. A. Cavagna, Europhys. Lett. 53, 490 (2001).
39. J. Kurchan and L. Laloux, J. Phys. A 29, 1929 (1996).
40. A. Cavagna, J.P. Garrahan, and I. Giardina, Phys. Rev. B 61, 3960 (2000).
41. K. Broderix, K.K. Bhattacharya, A. Cavagna, A. Zippelius, and I. Giardina, Phys. Rev. Lett. 85, 5360 (2000).
42. L. Angelani, R. Di Leonardo, G. Ruocco, A. Scala, and F. Sciortino, Phys. Rev. Lett. 85, 5356 (2000).
43. P. Shah and C. Chakravarty, J. Chem. Phys. 115, 8784 (2001);
44. T.S. Grigera, A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. Lett. 88, 055502 (2002);
45. L. Angelani, R. Di Leonardo, G. Ruocco, A. Scala, and F. Sciortino, J. Chem. Phys. 116, 10297 (2002);
46. L. Angelani, G. Ruocco, M. Sampoli, and F. Sciortino, J. Chem. Phys. 119, 2120(2003).
47. J.P.K. Doye and D.J. Wales, J. Chem. Phys. 116, 3777 (2002).
48. G. Fabricius and D.A. Stariolo, Phys. Rev. E 66, 031501 (2002).
49. B. Doliwa and A. Heuer, Phys. Rev. E 67, 031506 (2003).
50. A. Cavagna, I. Giardina, and G. Parisi, J. Phys. A 34, 5317 (2001).
51. S.D. Bembenek and B.B. Laird, Phys. Rev. Lett. 74, 936 (1995);
52. S.D. BembenekB.B. LairdJ. Chem. Phys. 104, 5199 (1996).
53. C. Donati, F. Sciortino, and P. Tartaglia, Phys. Rev. Lett. 85, 1464 (2000);
54. Phys. Rev. Lett.E. La Nave, H.E. Stanley, and F. Sciortino, 88, 035501 (2002).
55. T. Keyes, J. Phys. Chem. 101, 2921 (1997).
56. W. Kob, J.-L. Barrat, F. Sciortino, and P. Tartaglia, J. Phys. C 12, 6385 (2000).
57. B. Doliwa and A. Heuer, Phys. Rev. E 67, 030501 (2003).
58. R.A. Denny, D.R. Reichman, and J.-P. Bouchaud, Phys. Rev. Lett. 90, 025503 (2003).
59. See for a review, S.C. Glotzer, J. Non-Cryst. Solids 274, 342 (2000).
60. G. Tarjus and D. Kivelson, J. Chem. Phys. 103, 3071 (1995).
61. P. Viot, G. Tarjus, and D. Kivelson, J. Chem. Phys. 112, 10 368 (2000);
62. D.N. Perera and P. Harrowell, Phys. Rev. E 54, 1652 (1996).
63. S.H. Glarum, J. Chem. Phys. 33, 639 (1960);
64. M.C. Phillips, A.J. Barlow, and J. Lamb, Proc. R. Soc. London, Ser. A 329, 193 (1972).
65. P. W. Anderson, in Ill-Condensed Matter, edited by R. Balian et al. (North-Holland, Amsterdam, 1979).
66. R. G Palmer, D.L. Stein, E. Abrahams, and P.W. Anderson, Phys. Rev. Lett. 53, 958 (1984).
67. G.H. Fredrickson and H.C. Andersen, Phys. Rev. Lett. 53, 1244 (1984);
68. G.H. FredricksonH.C. AndersenJ. Chem. Phys. 83, 5822 (1985).
69. S. Butler and P. Harrowell, J. Chem. Phys. 95, 4454 (1991);
70. J. Chem. Phys.S. ButlerP. Harrowell95, 4466 (1991);
71. P. Harrowell, Phys. Rev. E 48, 4359 (1993);
72. M. Foley and P. Harrowell, J. Chem. Phys. 98, 5069 (1993).
73. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
74. J.P. Garrahan and M.E.J. Newman, Phys. Rev. E 62, 7670 (2000);
75. J.P. Garrahan, J. Phys. C 14, 1571 (2002).
76. S. Franz, C. Donati, G. Parisi, and S.C. Glotzer, Philos. Mag. B 79, 1827 (1999);
77. S.C. Glotzer, V. Novikov, and T.B. Schroder, J. Chem. Phys. 112, 509 (2000).
78. B. Doliwa and A. Heuer, Phys. Rev. E 61, 6898 (2000).
79. M.M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995);
80. D.N. Perera and P. Harrowell, J. Chem. Phys. 111, 5441 (1999).
81. Y. Hiwatari and T. Muranaka, J. Non-Cryst. Solids 235-237, 19 (1998).
82. B. Doliwa and A. Heuer, e-print cond-mat/0306343.
83. M. Schulz and S. Trimper, Phys. Rev. E 57, 6398 (1998).
84. X.C. Zeng, D. Kivelson, and G. Tarjus, Phys. Rev. E 50, 1711 (1994).
85. X.C. Zeng, D. Kivelson, and G. Tarjus, Phys. Rev. Lett. 72, 1772 (1994).
86. Y. Brumer and D.R. Reichman, e-print cond-mat/0306580.
87. A. Crisanti, F. Ritort, A. Rocco, and M. Sellitto, J. Chem. Phys. 113, 10 615 (2000).
88. D. Kivelson and G. Tarjus, J. Phys. Chem. B 105, 11854 (2001).
89. F.H. Stillinger, J. Chem. Phys. 88, 7818 (1988).
90. D. Kivelson, S.A. Kivelson, X. Zhao, Z. Nussinov, and G. Tarjus, Physica A 219, 27 (1995).