Theoretical approaches to the glass transition in simple liquids

Pramana - Journal of Physics

Volumn 64, Issue 5 SPEC. ISS., 2005, Pages 679-694

  Dasgupta, Chandan ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Density functional theory; Glass transition; Liquid state theories; Replica method; Supercooled liquids

Indexed keywords

ENTROPY; GLASS TRANSITION; PHASE DIAGRAMS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION; VISCOSITY;

DENSITY FUNCTIONAL THEORY; LIQUID-STATE THEORIES; REPLICA METHOD; SUPERCOOLED LIQUIDS;

LIQUIDS;

EID: 20044384751     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02704576     Document Type: Conference Paper

References (101)

1. C A Angell, Science 267, 1924 (1995), and other review articles in this issue
2. P De Benedetti, Metastable Liquids (Princeton University Press, Princeton, New Jersey, 1997)
3. C A Angell, J. Phys. Chem. Solids 49, 863 (1988)
4. H Vogel, Z. Phys. 22, 645 (1921)
5. G S Fulcher, J. Am. Ceram. Soc. 8, 339 (1925)
6. W Kauzmann, Chem. Rev. 48, 219 (1948)
7. G Adams and J H Gibbs, J. Chem. Phys. 43, 139 (1965)
8. For reviews of mode coupling theories, see W Götze in Liquids, freezing and the glass transition edited by D Levesque, J P Hansen and J Zinn-Justin (Elsevier, New York, 1991)
9. S P Das, Rev. Mod. Phys. 76, 785 (2004)
10. For a review of experiments with comparisons to predictions of mode coupling theories, see Dynamics of disordered materials edited by D Richter, A J Dianoux, W Petry and J Teixeira (Springer, Berlin, 1989)
11. T R Kirkpatrick and P G Wolynes, Phys. Rev. A35, 3072 (1987);
12. Phys. Rev. B36, 8552 (1987)
13. T R Kirkpatrick and D Thirumalai, Phys. Rev. B36, 5388 (1987);
14. Phys. Rev. A37, 4439 (1998);
15. Phys. Rev. B37, 5342 (1988);
16. J. Phys. A22, L149 (1989)
17. D Thirumalai and T R Kirkpatrick, Phys. Rev. B38, 4881 (1988)
18. T R Kirkpatrick, D Thirumalai and P G Wolynes, Phys. Rev. A40, 1045 (1989)
19. R Monasson, Phys. Rev. Lett. 75, 2847 (1995)
20. G Parisi in Complex behaviour of glassy systems: Proceedings of the XIV Sitges Conference edited by M Rubi and C Perez-Vicente (Springer, Berlin, 1997)
21. G Parisi, J. Phys. A30, L765 (1997);
22. Phys. Rev. Lett. 79, 3660 (1997)
23. S Franz and G Parisi, Phys. Rev. Lett. 79, 2486 (1997)
24. M T Cicerone and M D Ediger, J. Chem. Phys. 103, 5684 (1995)
25. M Hurley and P Harrowell, Phys. Rev. E52, 1694 (1995).
26. W Kob, C Donati, S J Plimpton, P H Poole and S C Glotzer, Phys. Rev. Lett. 79, 2827 (1997)
27. C Dasgupta, A V Indrani, S Ramaswamy and M K Phani, Europhys. Lett. 15, 307 (1991)
28. C Dasgupta and S Ramaswamy, Physica A186, 314 (1992)
29. C Donati, S Franz, S C Glotzer and G Parisi, Philos. Mag. B79, 1827 (1999)
30. J P Bouchaud and M Mézard, J. Phys. I (France) 4, 1109 (1994)
31. L F Cugliandolo, J Kurchan, G Parisi and F Ritort, Phys. Rev. Lett. 74, 1012 (1995)
32. C Brangian, W Kob and K Binder, Europhys. Lett. 59, 546 (2002)
33. X Xia and P G Wolynes, Phys. Rev. Lett. 86, 5526 (2001)
34. J P Bouchaud and G Biroli, cond-mat/0406317
35. M Goldstein, J. Chem. Phys. 51, 3728 (1969)
36. F H Stillinger and T A Weber, Phys. Rev. A25, 978 (1982);
37. Phys. Rev. A28, 2408 (1983)
38. F H Stillinger, Science 267, 1935 (1995) and references therein
39. S Sastry, P G Debenedetti and F H Stillinger, Nature 393, 554 (1998)
40. L Angelani, G Parisi, G Ruocco and G Viliani, Phys. Rev. Lett. 81, 4648 (1998)
41. F Sciortino, W Kob and P Tartaglia, Phys. Rev. Lett. 83, 3214 (1999)
42. S Sastry, Phys. Rev. Lett. 85, 590 (2000)
43. S Buchner and A Heuer, Phys. Rev. Lett. 84, 2168 (2000)
44. Q Yan, T S Jain and J J de Pablo, Phys. Rev. Lett. 92, 235701 (2004)
45. See, for example, C De Michele, F Sciortino and A Coniglio, cond-mat/0405282
46. L Angelani, R D Leonardo, G Ruocco, A Scala and F Sciortino, Phys. Rev. Lett. 85, 5356 (2000)
47. T S Grigera, A Cavagna, I Giardina and G Parisi, Phys. Rev. Lett. 88, 055502 (2002)
48. S Sastry, Nature 409, 164 (2001)
49. W Kob and J-L Barrat, Phys. Rev. Lett. 78, 4581 (1997)
50. F H Stillinger, J. Chem. Phys. 88, 7818 (1988)
51. B Doliwa and A Heuer, Phys. Rev. E67, 030501 (2003)
52. B Doliwa and A Heuer, Phys. Rev. E67, 031506 (2003)
53. B Doliwa and A Heuer, Phys. Rev. Lett. 91, 235501 (2003)
54. G H Fredrickson and H C Andersen, Phys. Rev. Lett 53, 1244 (1984)
55. W Kob and H C Andersen, Phys. Rev. E48, 4364 (1993)
56. J P Garrahan and D Chandler, Phys. Rev. Lett. 89, 035704 (2002)
57. L Berthier and J P Garrahan, Phys. Rev. E68, 041201 (2003), and references therein
58. C Toninelli, G Biroli and D S Fisher, Phys. Rev. Lett. 92, 185504 (2004)
59. G Biroli, J P Bouchaud and G Tarjus, cond-mat/0412024 D Chandler and J P Garrahan, cond-mat/0501544
60. D Kivelson, S A Kivelson, X Zhao, Z Nussinov and G Tarjus, Physica A219, 27 (1995)
61. L Chayes, V J Emery, S A Kivelson, Z Nussinov and G Tarjus, Physica A225, 129 (1996)
62. Z Nussinov, J Rudnick, S A Kivelson and L N Chayes, Phys. Rev. Lett. 83, 472 (1999)
63. Z Nussinov, Phys. Rev. B69, 014208 (2004)
64. Y Singh, J P Stoessel and P G Wolynes, Phys. Rev. Lett. 54, 1059 (1985)
65. H Lowen, J. Phys. Condens. Matter 2, 8477 (1990)
66. C Kaur and S P Das, Phys. Rev. Lett. 86, 2062 (2001)
67. K Kim and T Munakata, Phys. Rev. E68, 021502 (2003)
68. T V Ramakrishnan and M Yussouff, Phys. Rev. B19, 2275, (1979)
69. J P Hansen and I R McDonald, Theory of simple liquids (Academic, London, 1986)
70. C Dasgupta, Europhys. Lett. 20, 131 (1992)
71. L M Lust, O T Valls and C Dasgupta, Phys. Rev. E48, 1787, (1993)
72. L M Lust, O T Valls and C Dasgupta, Phase Transitions 50, 47 (1994)
73. C Dasgupta and O T Valls, Phys. Rev. E50, 3916 (1994)
74. O T Valls and C Dasgupta, Transport Theory and Statistical Physics 24, 1199 (1995)
75. C Dasgupta and O T Valls, Phys. Rev. E53, 2603 (1996)
76. C Dasgupta and O T Valls, in Complex behavior of glassy systems edited by M Rubí and C Pérez-Vicente (Springer, Berlin, 1997)
77. C Dasgupta and O T Valls, Phys. Rev. E58, 801 (1998)
78. C Dasgupta and O T Valls, Phys. Rev. E59, 3123 (1999)
79. C Dasgupta and O T Valls, J. Phys. Condens. Matter 12, 6553 (2000)
80. L V Woodcock and C A Angell, Phys. Rev. Lett. 47, 1129, (1981).
81. L V Woodcock, Ann. N.Y. Acad. Sci. 371, 274, (1981)
82. P Chaudhuri, S Karmakar and C Dasgupta, manuscript in preparation
83. M Mézard, G Parisi and M A Virasoro, Spin glass theory and beyond (World Scientific, Singapore, 1987)
84. G I Menon and C Dasgupta, Phys. Rev. Lett. 73, 1023 (1994)
85. A Sengupta, S Sengupta and G I Menon, cond-mat/0410390
86. M Mézard and G Parisi, J. Phys. A29, 6515 (1996)
87. F Thalmann, C Dasgupta and D Feinberg, Europhys. Lett. 50, 54 (2000)
88. C Dasgupta and O T Valls, Phys. Rev. E62, 3648 (2000)
89. M Cardenas, S Franz, G Parisi, J. Phys. A31, L163 (1998);
90. J. Chem. Phys. 110, 1726 (1999)
91. M Mézard and G Parisi, Phys. Rev. Lett. 82, 747 (1999);
92. J. Chem. Phys. 111, 1076 (1999)
93. M Mézard, Physica A265, 352 (1999)
94. B Coluzzi, M Mézard, G Parisi and P Verrocchio, J. Chem. Phys. 111, 9039 (1999)
95. B Coluzzi, G Parisi and P Verrocchio, J. Chem. Phys. 112, 2933 (2000);
96. Phys. Rev. Lett. 84, 306 (2000)
97. F Thalmann, J. Chem. Phys. 116, 3378 (2002)
98. S S Ghosh and C Dasgupta, Phys. Rev. Lett. 77, 1310 (1996)
99. K Kim and R Yamamoto, Phys. Rev. E61, R41 (2000)
100. C Brangian, W Kob and K Binder, Europhys. Lett. 53, 756 (2001)
101. B Doliwa and A Heuer, cond-mat/0210121