Critical fluctuations and breakdown of the Stokes-Einstein relation in the mode-coupling theory of glasses

Journal of Physics Condensed Matter

Volumn 19, Issue 20, 2007, Pages

  Biroli, Giulio ^a   Bouchaud, Jean Philippe ^b,c  

^a CEA SACLAY   (France)

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

^c Science and Finance   (France)

Author keywords

[No Author keywords available]

Indexed keywords

LIQUIDS; NUMERICAL METHODS;

CRITICAL FLUCTUATIONS; MODE COUPLING THEORY (MCT); STOKES-EINSTEIN RELATION;

GLASS;

EID: 34247473791     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/19/20/205101     Document Type: Conference Paper

References (51)

1. Götze W and Sjögren L 1992 Rep. Prog. Phys. 55 241
2. Götze W 1998 Condens. Matter Phys. 1 873
3. Götze W 1999 J. Phys.: Condens. Matter 11 A1-45
4. Kob W and Andersen H C 1995 Phys. Rev. E 51 4626
5. Kob W and Andersen H C 1995 Phys. Rev. E 52 4134
6. See also Kob W 2003 Slow Relaxations and Non-equilibrium Dynamics in Condensed Matter (Les Houches, Session LXXVII) ed J L Barrat, M Feigelman, J Kurchan and J Dalibard (Berlin: Springer-EDP Sciences)
7. Sastry S, Debenedetti P G and Stillinger F H 1998 Nature 393 554
8. Bordat P, Affouard F, Descamps M and Muller-Plathe F 2003 J. Phys.: Condens. Matter 15 5397
9. see e.g. Ediger M D 2000 Annu. Rev. Phys. Chem. 51 99
10. Stillinger F H 1988 J. Chem. Phys. 89 6461
11. Stillinger F H and Hodgdon J A 1994 Phys. Rev. E 50 2064
12. Tarjus G and Kivelson D 1995 J. Chem. Phys. 103 3071
13. Xia X and Wolynes P G 2001 J. Phys. Chem. B 105 6570
14. Jung Y, Garrahan J P and Chandler D 2004 Phys. Rev. E 69 061205
15. Franz S and Parisi G 2000 J. Phys.: Condens. Matter 12 6335
16. Donati C, Franz S, Parisi G and Glotzer S C 2002 J. Non-Cryst. Solids 307 215-24
17. Biroli G and Bouchaud J P 2004 Europhys. Lett. 67 21-7
18. Biroli G, Bouchaud J P, Miyazaki K and Reichman D R 2006 Inhomogeneous mode-coupling theory and growing dynamic length in supercooled liquids Preprint cond-mat/0605733
19. Franz S and Montanari A 2006 Dynamical and mosaic length scales in a Kac glass model Preprint cond-mat/0606113
20. Kirkpatrick T R and Wolynes P G 1987 Phys. Rev. B 36 8552
21. Kirkpatrick T R and Thirumalai D 1988 Phys. Rev. A 37 4439
22. Bennemann C, Donati C, Bashnagel J and Glotzer S C 1999 Nature 399 246
23. Glotzer S C 2000 J. Non-Cryst. Solids 274 342
24. Berthier L 2004 Phys. Rev. E 69 020201
25. Whitelam S, Berthier L and Garrahan J P 2004 Phys. Rev. Lett. 92 185705
26. Toninelli C, Wyart M, Biroli G, Berthier L and Bouchaud J P 2005 Phys. Rev. E 71 041505
27. Montanari A and Semerjian G 2006 Rigorous inequalities between length and time scales in glassy systems Preprint cond-mat/0603018
28. Berthier L, Biroli G, Bouchaud J-P, Cipelletti L, El Masri D, L'Hote D, Ladieu F and Pierno M 2005 Science 310 1797
29. Dauchot O, Marty G and Biroli G 2005 Phys. Rev. Lett. 95 265701
30. Bouchaud J P and Biroli G 2005 Phys. Rev. B 72 064204
31. Berthier L, Biroli G, Bouchaud J P, Kob W, Miyazaki K and Reichman D R 2006 Preprint cond-mat/0609656
32. Berthier L, Biroli G, Bouchaud J P, Kob W, Miyazaki K and Reichman D R 2006 Preprint cond-mat/0609658
33. Widmer-Cooper A and Harrowell P 2005 Predicting the long time dynamic heterogeneity in a supercooled liquid on the basis of short time heterogeneities Preprint cond-mat/0512035
34. Aharony A and Harris A B 1996 Phys. Rev. Lett. 77 3700
35. Aharony A, Harris A B and Wiseman S 1998 Phys. Rev. Lett. 81 252
36. Wiseman S and Domany E 1998 Phys. Rev. Lett. 81 22
37. Bonn D and Kegel W 2003 J. Chem. Phys. 118 2005
38. Denny R A, Reichman D R and Bouchaud J P 2003 Phys. Rev. Lett. 90 025503
39. Doliwa B and Heuer A 2003 Phys. Rev. E 67 030501(R)
40. Voigtmann Th, Puertas A M and Fuchs M 2004 Phys. Rev. E 70 061506
41. Kumar S, Szamel G and Douglas J 2005 Nature of the breakdown in the Stokes-Einstein relationship in a hard sphere fluid Preprint cond-mat/0508172
42. See e.g. Jung Y, Garrahan J P and Chandler D 2004 Phys. Rev. 69 061205
43. Jung Y, Garrahan J P and Chandler D 2005 Preprint cond-mat/0504535
44. Berthier L, Chandler D and Garrahan J P 2005 Europhys. Lett. 69 230
45. Andreanov A, Biroli G and Bouchaud J-P in preparation
46. Zinn Justin J 2002 Quantum Field Theory and Critical Phenomena (Oxford: Oxford University Press)
47. Andreanov A, Biroli G and Lefèvre A 2006 J. Stat. Mech. P07008
48. Das S P 2004 Rev. Mod. Phys. 76 785
49. Miyazaki K and Reichman D R 2005 J. Phys. A: Math. Gen. 38 L343
50. Blaizot J-P and Ripka G 1998 Quantum Theory of Finite Systems (Kiev: Editions Phenix)
51. Berthier L 2006 unpublished