Exact theory of dense amorphous hard spheres in high dimension. III. the full replica symmetry breaking solution

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2014, Issue 10, 2014, Pages

  Charbonneau, Patrick ^a   Kurchan, Jorge ^b   Parisi, Giorgio ^c,d   Urbani, Pierfrancesco ^e   Zamponi, Francesco ^f  

^a DUKE UNIVERSITY   (United States)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

^d CNR   (Italy)

^e CEA SACLAY   (France)

^f LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

Author keywords

Cavity and replica method; disordered systems (theory); energy landscapes (theory); structural glasses (theory)

Indexed keywords

EID: 84908408921     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2014/10/P10009     Document Type: Article

References (81)

1. Kurchan J, Parisi G and Zamponi F 2012 J. Stat. Mech. 2012 P10012
2. Kurchan J, Parisi G, Urbani P and Zamponi F 2013 J. Phys. Chem. B 117 12979
3. Kirkpatrick T R and Wolynes P G 1987 Phys. Rev. B 36 8552
4. Kirkpatrick T R and Thirumalai D 1988 Phys. Rev. A 37 4439
5. Kirkpatrick T R, Thirumalai D and Wolynes P G 1989 Phys. Rev. A 40 1045
6. Wolynes P and Lubchenko V ed 2012 Structural Glasses, Supercooled Liquids: Theory, Experiment and Applications (Hoboken, NJ: Wiley)
7. Kirkpatrick T R and Thirumalai D 1989 J. Phys. A: Math. Gen. 22 L149
8. Monasson R 1995 Phys. Rev. Lett. 75 2847
9. Mézard M and Parisi G 1999 J. Chem. Phys. 111 1076
10. Mezard M and Parisi G 2012 Structural Glasses, Supercooled Liquids: Theory, Experiment, Applications ed P G Wolynes and V Lubchenko (Hoboken, NJ: Wiley)
11. Parisi G and Zamponi F 2010 Rev. Mod. Phys. 82 789
12. Charbonneau P, Ikeda A, Parisi G and Zamponi F 2011 Phys. Rev. Lett. 107 185702
13. Charbonneau P, Ikeda A, Parisi G and Zamponi F 2012 Proc. Natl Acad. Sci. 109 13939
14. Berthier L, Jacquin H and Zamponi F 2011 Phys. Rev. E 84 051103
15. Moukarzel C F 1998 Phys. Rev. Lett. 81 1634
16. Tkachenko A V and Witten T A 1999 Phys. Rev. E 60 687
17. Roux J-N 2000 Phys. Rev. E 61 6802
18. O'Hern C S, Langer S A, Liu A J and Nagel S R 2002 Phys. Rev. Lett. 88 075507
19. O'Hern C S, Silbert L E, Liu A J and Nagel S R 2003 Phys. Rev. E 68 011306
20. Wyart M, Silbert L, Nagel S and Witten T 2005 Phys. Rev. E 72 051306
21. Brito C and Wyart M 2006 Europhys. Lett. 76 149
22. Brito C and Wyart M 2007 J. Stat. Mech. 2007 L08003
23. Brito C and Wyart M 2009 J. Chem. Phys. 131 024504
24. Liu A, Nagel S, Van Saarloos W and Wyart M 2011 Dynamical Heterogeneities, Glasses ed L Berthier et al (Oxford: Oxford University Press)
25. Wyart M 2012 Phys. Rev. Lett. 109 125502
26. Ikeda A, Berthier L and Biroli G 2013 J. Chem. Phys. 138 12A507
27. Charbonneau P, Corwin E I, Parisi G and Zamponi F 2012 Phys. Rev. Lett. 109 205501
28. Lerner E, During G and Wyart M 2013 Soft Matter 9 8252
29. Bray A J and Moore M A 1979 J. Phys. C: Solid State Phys. 12 L441
30. Mézard M, Parisi G and Virasoro M A 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
31. Montanari A and Ricci-Tersenghi F 2003 Eur. Phys. J. B 33 339
32. Montanari A and Ricci-Tersenghi F 2004 Phys. Rev. B 70 134406
33. Rizzo T 2013 Phys. Rev. E 88 032135
34. Krzakala F and Zdeborová L 2013 J. Phys.: Conf. Ser. 473 12022
35. Gross D J, Kanter I and Sompolinsky H 1985 Phys. Rev. Lett. 55 304
36. Gardner E 1985 Nucl. Phys. B 257 747
37. Fullerton C J and Moore M 2013 arXiv:1304.4420
38. Kirkpatrick T R and Wolynes P G 1987 Phys. Rev. A 35 3072
39. Thouless D J, de Almeida J R L and Kosterlitz J M 1980 J. Phys. C: Solid State Phys. 13 3271
40. De Dominicis C and Kondor I 1983 Phys. Rev. B 27 606
41. Goltsev A V 1983 J. Phys. A: Math. Gen. 16 1337
42. Kondor I and de Dominicis C 1986 Europhys. Lett. 2 617
43. DeGiuli E, Lerner E, Brito C and Wyart M 2014 arXiv:1402.3834
44. Donev A, Torquato S and Stillinger F H 2005 Phys. Rev. E 71 011105
45. Silbert L E, Liu A J and Nagel S R 2006 Phys. Rev. E 73 041304
46. Torquato S and Stillinger F H 2010 Rev. Mod. Phys. 82 2633
47. Yoshino H and Mézard M 2010 Phys. Rev. Lett. 105 015504
48. Yoshino H 2012 J. Chem. Phys. 136 214108
49. Yoshino H 2013 AIP Conf. Proc. 1518 244
50. Le Doussal P, Müller M and Wiese K J 2010 Europhys. Lett. 91 57004
51. Castellani T and Cavagna A 2005 J. Stat. Mech. 2005 P05012
52. Charbonneau P, Kurchan J, Parisi G, Urbani P and Zamponi F 2014 Nat. Commun. 5 3725
53. Kirkpatrick T R and Thirumalai D 1987 Phys. Rev. B 36 5388
54. Franz S and Parisi G 1995 J. Physique I 5 1401
55. Franz S and Parisi G 1997 Phys. Rev. Lett. 79 2486
56. Cardenas M, Franz S and Parisi G 1999 J. Chem. Phys. 110 1726
57. Krzakala F and Zdeborová L 2010 Europhys. Lett. 90 66002
58. Cugliandolo L F and Kurchan J 1993 Phys. Rev. Lett. 71 173
59. Mézard M 1999 Physica A 265 352
60. Mézard M and Parisi G 2000 J. Phys.: Condens. Matter 12 6655
61. Mézard M and Parisi G 1991 J. Physique I 1 809
62. Duplantier B 1981 J. Phys. A: Math. Gen. 14 283
63. Sommers H-J and Dupont W 1984 J. Phys. C: Solid State Phys. 17 5785
64. Frisch H L and Percus J K 1999 Phys. Rev. E 60 2942
65. Caltagirone F, Ferrari U, Leuzzi L, Parisi G and Rizzo T 2011 Phys. Rev. B 83 104202
66. Temesvári T, De Dominicis C and Pimentel I 2002 Eur. Phys. J. B 25 361
67. Parisi G and Toulouse G 1980 J. Physique Lett. 41 361
68. Pankov S 2006 Phys. Rev. Lett. 96 197204
69. Crisanti A and De Dominicis C 2012 Phil. Mag. 92 280
70. Hansen J-P and McDonald I R 1986 Theory of Simple Liquids (Burlington, MA: Academic)
71. Müller M and Pankov S 2007 Phys. Rev. B 75 144201
72. Van Hecke M 2010 J. Phys.: Condens. Matter 22 033101
73. Skoge M, Donev A, Stillinger F H and Torquato S 2006 Phys. Rev. E 74 041127
74. Atkinson S, Stillinger F H and Torquato S 2013 Phys. Rev. E 88 062208
75. Kallus Y, Marcotte E and Torquato S 2013 Phys. Rev. E 88 062151
76. Barrat A, Franz S and Parisi G 1997 J. Phys. A: Math. Gen. 30 5593
77. Olsson P and Teitel S 2007 Phys. Rev. Lett. 99 178001
78. Okamura S and Yoshino H 2013 arXiv:1306.2777
79. Castellana M, Decelle A, Franz S, Mézard M and Parisi G 2010 Phys. Rev. Lett. 104 127206
80. Cammarota C, Biroli G, Tarzia M and Tarjus G 2011 Phys. Rev. Lett. 106 115705
81. Yeo J and Moore M A 2012 Phys. Rev. E 86 052501