Moderately and strongly supercooled liquids: A temperature-derivative study of the primary relaxation time scale

Journal of Chemical Physics

Volumn 122, Issue 11, 2005, Pages

  Kokshenev, Valery B ^a,b   Borges, Pablo D ^a,b   Sullivan, Neil S ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN STATISTICS; MATERIAL-INDEPENDENT EQUATION; RELAXATION TIME SCALE; SUPERCOOLED LIQUIDS;

AMORPHOUS MATERIALS; DATA REDUCTION; GLASS TRANSITION; POLYMERS; RELAXATION PROCESSES; STATISTICAL METHODS; THERMODYNAMICS;

SUPERCOOLING;

EID: 18744371953     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1855877     Document Type: Article

References (107)

1. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000).
2. R. Böhmer, K. L. Ngai, C. A. Angell, and D. J. Plazek, J. Chem. Phys. 99, 4201 (1993).
3. C. A. Angell, J. Non-Cryst. Solids 131-133, 13 (1991).
4. W. Götze and L. Sjögen, Rep. Prog. Phys. 55, 241 (1992).
5. K. Binder, J. Baschnagel, and W. Paul, Prog. Polym. Sci. 28, 115 (2003).
6. A. Kudlik, C. Tschirwitz, T. Blochowicz, S. Benkhof, and E. Rössler, J. Non-Cryst. Solids 235-237, 401 (1998).
7. F. Stickel, E. W. Fischer, and R. Richert, J. Chem. Phys. 102, 6251 (1995).
8. F. Stickel, E. W. Fischer, and R. Richert, J. Chem. Phys. 104, 2043 (1996).
9. C. Hansen, F. Stickel, T. Berger, R. Richert, and E. W. Ficher, J. Chem. Phys. 107, 1086 (1997).
10. R. Richert and C. A. Angell, J. Chem. Phys. 108, 9016 (1998).
11. D. Kivelson, G. Tarjus, X. Zhao, and S. A. Kivelson, Phys. Rev. E 53, 751 (1996).
12. M. Schulz, Phys. Rev. B 57, 11319 (1998).
13. D. Kivelson, S. A. Kivelson, X. Zhao, Z. Nussinov, and G. Tarjus, Physica A 219, 27 (1995).
14. J. H. Gibbs and G. Adam, J. Chem. Phys. 43, 139 (1965).
15. M. N. Cohen and G. S. Grest, Phys. Rev. B 20, 1077 (1979).
16. T. A. Weber and F. H. Stillinger, Phys. Rev. B 36, 7043 (1987).
17. J. P. Sethna, J. D. Shore, and M. Huang, Phys. Rev. B 44, 4943 (1991).
18. K. L. Ngai, R. W. Rendell, and D. J. Plazek, J. Chem. Phys. 94, 3018 (1991).
19. T. Odagaki, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.75.37 75, 37 (1995); T. Odagaki, Prog. Theor. Phys. Suppl. 126, 9 (1997).
20. T. Odagaki, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.75.37 75, 37 (1995); T. Odagaki, Prog. Theor. Phys. Suppl. 126, 9 (1997).
21. U. Mohanty, G. Diezemann, and J. T. Fourkas, J. Chem. Phys. 113, 3719 (2000).
22. A. S. Bakai, Low Temp. Phys. 1063-777X 10.1063/1.593530 24, 20 (1998); A. S. Bakai, J. Non-Cryst. Solids 3077, 623 (2002).
23. A. S. Bakai, Low Temp. Phys. 1063-777X 10.1063/1.593530 24, 20 (1998); A. S. Bakai, J. Non-Cryst. Solids 3077, 623 (2002).
24. R. V. Chamberlin, Phys. Rev. B 48, 15638 (1993).
25. A. S. Bakai and E. W. Fischer, J. Chem. Phys. 120, 5235 (2004).
26. V. B. Kokshenev, Physica A 262, 88 (1999).
27. P. Scheidler, W. Kob, and K. Binder, Europhys. Lett. 59, 701 (2002).
28. L.-M. Martinez and C. A. Angell, Nature (London) 410, 663 (2001).
29. R. V. Chamberlin, R. Böhmer, E. Sanchez, and C. A. Angell, Phys. Rev. B 46, 5787 (1992).
30. M. Wolfgardt, J. Baschnagel, W. Paul, and K. Binder, Phys. Rev. E 54, 1535 (1996).
31. C. A. Angell, Physica D 0167-2789 10.1016/S0167-2789(97)00077-8 107, 122 (1997); C. A. Angell, J. Res. Natl. Inst. Stand. Technol. 102, 171 (1997).
32. C. A. Angell, Physica D 0167-2789 10.1016/S0167-2789(97)00077-8 107, 122 (1997); C. A. Angell, J. Res. Natl. Inst. Stand. Technol. 102, 171 (1997).
33. J. T. Bendler and M. F. Shlesinger, J. Stat. Phys. 53, 531 (1988).
34. J. T. Bendler, J. J. Fontanella, and M. F. Shlesinger, Phys. Rev. Lett. 87, 195503 (2001).
35. M. Fuchs, W. Götze, S. Hidebrand, and A. Latz, J. Phys.: Condens. Matter 0953-8984 4, 7707 (1992); W. Götze, J. Phys.: Condens. Matter 11, A1 (1999).
36. M. Fuchs, W. Götze, S. Hidebrand, and A. Latz, J. Phys.: Condens. Matter 0953-8984 4, 7707 (1992); W. Götze, J. Phys.: Condens. Matter 11, A1 (1999).
37. (a) V. N. Novikov, E. Rössler, V. K. Malinovsky, and N. V. Surovtsev, Europhys. Lett. 0295-5075 10.1209/epl/i1996-00568-7 35, 289 (1996); (b) E. Rössler and A. P. Sokolov, Chem. Geol. 128, 143 (1996).
38. (a) V. N. Novikov, E. Rössler, V. K. Malinovsky, and N. V. Surovtsev, Europhys. Lett. 0295-5075 10.1209/epl/i1996-00568-7 35, 289 (1996); (b) E. Rössler and A. P. Sokolov, Chem. Geol. 128, 143 (1996).
39. G. P. Johari, J. Chem. Phys. 112, 7518 (2000).
40. V. B. Kokshenev, Solid State Commun. 119, 429 (2001).
41. N. Giovambattista, S. V. Buldyrev, F. W. Starr, and H. E. Stanley, Phys. Rev. Lett. 90, 085506 (2003).
42. R. V. Chamberlin, Europhys. Lett. 33, 545 (1996).
43. V. B. Kokshenev, Phys. Rev. E 57, 1187 (1998).
44. V. B. Kokshenev and N. S. Sullivan, J. Low Temp. Phys. 122, 221 (2001).
45. V. B. Kokshenev and N. S. Sullivan, Phys. Lett. A 208, 97 (2001).
46. A. Neapolitano and P. B. Macedo, J. Res. Natl. Bur. Stand., Sect. A 71, 231 (1967).
47. V. Privalko, J. Chem. Phys. 84, 3307 (1980).
48. C. A. Angell and W. Sichina, Ann. N.Y. Acad. Sci. 279-280, 53 (1976).
49. D. Prevosto, M. Luccesti, S. Capaccioli, R. Casalini, and P. A. Rolla, Phys. Rev. B 67, 174202 (2003).
50. C. A. Angell, Science 267, 1924 (1995).
51. J. Souletie, J. Phys. (France) 51, 883 (1990).
52. J. T. Bendler, J. J. Fontanella, and M. F. Shlesinger, Chem. Phys. 284, 311 (2002).
53. K. L. Ngai, Disorder Effects on Relaxation Processes: Glasses, Polymers, Proteins, edited by, R. Richert, and, A. Blumen, (Springer, Berlin, 1994), p. 89.
54. U. Mohanty, N. Craig, and J. T. Fourkas, J. Chem. Phys. 114, 10577 (2001).
55. R. Böhmer and C. A. Angell, Phys. Rev. B 45, 10091 (1992).
56. V. N. Novikov and A. P. Sokolov, Phys. Rev. E 67, 031507 (2003).
57. J. Gerardin, S. Mohanty, and U. Mohanty, J. Chem. Phys. 119, 4473 (2003).
58. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, London, 1989).
59. S. Takahara, O. Yamamuro, and T. Matsuo, J. Phys. Chem. 99, 9589 (1995).
60. O. Yamamuro, M. Ishikawa, I. Tsukushi, and T. Matsuo, in Eighth Tohwa University International Symposium on Slow Dynamics in Complex Systems, edited by, M. Tokuama, and, I. Oppenheim, (AIP, New York, 1999), p. 513.
61. I. S. Grandshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, edited by, A. Jeffrey, (Academic Press, New York, 1994).
62. P. D. Borges, M.S. thesis, Universidade Federal of Minas Gerais, 2001.
63. R. H. Colby, Phys. Rev. E 61, 1783 (2000).
64. B. M. Erwin and R. H. Colby, J. Non-Cryst. Solids 307-310, 225 (2002).
65. Y. Zhao, X. Bian, K. Yin, J. Zhou, J. Zhang, and X. Hou, Physica B 349, 327 (2004).
66. M. Goldstein, J. Chem. Phys. 51, 3728 (1969).
67. R. Rossler, Phys. Rev. Lett. 65, 1595 (1990).
68. J. Souletie and D. Bertrand, J. Phys. I 1, 1627 (1991).
69. C. Donati, J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. 80, 2338 (1998).
70. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 2002).
71. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000).
72. A. J. Bray, Adv. Phys. 43, 357 (1994).
73. R. Piazza, T. Bellini, and V. Degiorgio, Phys. Rev. B 38, 7223 (1988).
74. E. W. Fischer, E. Donth, and W. Steffen, Phys. Rev. Lett. 68, 2344 (1992).
75. R. V. Chamberlin, Phys. Rev. Lett. 82, 2520 (1999).
76. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
77. M. Ḿzard and G. Parisi, Phys. Rev. Lett. 82, 747 (1999).
78. C. A. Angell, Physica A 107, 122 (1997).
79. V. P. Privalko, J. Phys. Chem. 84, 3307 (1980).
80. J. Ma, D. V. Bout, and M. Berg, Phys. Rev. E 54, 2786 (1996).
81. H. Z. Cummins, W. M. Du, M. Fuchs, W. Götze, A. Latz, G. Li, and N. J. Tao, Physica A 201, 207 (1993).
82. A. Schönhals, F. Kremer, A. Hofmann, and E. W. Fischer, Physica A 201, 263 (1993).
83. E. Rössler, A. P. Sokolov, P. Eiermann, and U. Warschewske, Physica A 201, 237 (1993).
84. A. P. Sokolov, W. Steffen, and E. Rössler, Phys. Rev. E 52, 5105 (1995).
85. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
86. E. W. Fischer, Physica A 201, 183 (1993).
87. E. Rössler, A. P. Sokolov, A. Kisliuk, and D. Quitmann, Phys. Rev. B 49, 14967 (1994).
88. D. J. Plazek and J. H. Magill, J. Chem. Phys. 45, 3038 (1968).
89. M. Cukierman, J. W. Lane, and D. R. Uhlmann, J. Chem. Phys. 59, 3639 (1973).
90. Disorder Effects on Relaxational Processes: Glasses, Polymers, Proteins, edited by, A. Hofmann, R. Richert, and, A. Blumen, (Springer, Berlin, 1994), p. 309.
91. G. Li, W. M. Du, A. Sakai, and H. Z. Cummins, Phys. Rev. A 46, 3343 (1992).
92. J. Wuttke, J. Hernandez, G. Li, G. Coddens, H. Z. Cummins, F. Fujara, W. Petry, and H. Sillescu, Phys. Rev. Lett. 72, 3052 (1994).
93. N. O. Birge, Phys. Rev. B 34, 1631 (1986).
94. G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965).
95. J. Colmereno, Physica A 201, 38 (1993).
96. A. Alegría, J. Colmereno, P. O. Mari, and I. A. Campbell, Phys. Rev. E 59, 6888 (1999).
97. V. Kokshenev and N. S. Sullivan, Phys. Lett. A 280, 97 (2001).
98. J. Ferry, Viscoelastic Properties of Polymers (Wiley, New York, 1980).
99. A. A. Miller, J. Chem. Phys. 49, 1393 (1968).
100. U. Buchenau and R. Zorn, Europhys. Lett. 18, 523 (1992).
101. I. Park, M. Mikami, S. Kojima, and Y. Takagi, in Eigth Tohwa University International Symposium on Slow Dynamics Complex Systems, edited by, M. Tokuyama, and, I. Oppenheim, (American Institute of Physics, New York, 1999).
102. N. Miura, W. J. MacKinight, S. Matsuoka, and F. E. Karasz, Polymer 42, 6129 (2001).
103. D. Richter, B. Frick, and B. Farago, Phys. Rev. Lett. 61, 2465 (1988).
104. B. Frick, D. Richter, W. Petry, and U. Buchenau, Z. Phys. B: Condens. Matter 70, 73 (1988).
105. R. Bergman, L. Börjesson, L. M. Torrell, and A. Fontana, Phys. Rev. B 56, 11619 (1997).
106. D. Sidebottom, R. Bergman, L. Börjesson, and L. M. Torrel, Phys. Rev. Lett. 68, 3587 (1992).
107. B. Frick, B. Farago, and D. Richter, Phys. Rev. Lett. 64, 2921 (1990).