A kinetic model for liquids: Relaxation in liquids, origin of the Vogel-Tammann-Fulcher equation, and the essence of fragility

Journal of Applied Physics

Volumn 104, Issue 11, 2008, Pages

  Wang, L W ^a   Fecht, H J ^a,b  

^a UNIVERSITY OF ULM   (Germany)

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ATOMS; GLASS; GLASS TRANSITION; KINETIC THEORY;

ARRHENIUS RELATIONS; ATOMIC RELAXATIONS; CROSSOVER TEMPERATURES; KINETIC MODELS; QUANTITATIVE DESCRIPTIONS; SLOW DYNAMICS; SUB STRUCTURES;

LIQUIDS;

EID: 58149280409     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3033521     Document Type: Article

References (77)

1. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 0021-8979 10.1063/1.1286035 88, 3113 (2000).
2. P. G. Debenedetti and F. H. Stillinger, Nature (London) 0028-0836 10.1038/35065704 410, 259 (2001).
3. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 0022-3654 10.1021/jp953538d 100, 13200 (1996).
4. J. Jackle, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/49/2/002 49, 171 (1986).
5. D. Turnbull, Contemp. Phys. 0010-7514 10.1080/00107516908204405 10, 473 (1969).
6. P. Duwez, R. H. Willens, and R. C. Crewdson, J. Appl. Phys. 0021-8979 10.1063/1.1714461 36, 2267 (1965).
7. A. L. Greer, Science 0036-8075 10.1126/science.267.5206.1947 267, 1947 (1995).
8. A. Inoue, Acta Mater. 1359-6454 10.1016/S1359-6454(99)00300-6 48, 279 (2000).
9. W. L. Johnson, MRS Bull. 24, 42 (1999). 1359-6454
10. S. M. Chathoth and A. Podlesnyak, J. Appl. Phys. 0021-8979 10.1063/1.2827486 103, 013509 (2008).
11. Y. C. Chang, J. C. Huang, Y. T. Cheng, C. J. Lee, X. H. Du, and T. G. Nieh, J. Appl. Phys. 0021-8979 10.1063/1.2927459 103, 103521 (2008).
12. J. Hachenberg, D. Bedorf, K. Samwer, R. Richert, A. Kahl, M. D. Demetriou, and W. L. Johnson, Appl. Phys. Lett. 0003-6951 10.1063/1.2903697 92, 131911 (2008).
13. P. W. Anderson, Science 0036-8075 10.1126/science.267.5204.1615-e 267, 1615 (1995).
14. J. Couzin, Science 0036-8075 10.1126/science.309.5731.83 309, 83 (2005).
15. G. S. Fulcher, J. Am. Ceram. Soc. 75, 1043 (1992). 0002-7820
16. G. W. Scherer, J. Am. Ceram. Soc. 0002-7820 10.1111/j.1151-2916.1992. tb05537.x 75, 1060 (1992).
17. L. W. Wang and H. -J. Fecht (unpublished); L. W. Wang, Q. Wang, and K. Q. Lu, Philos. Mag. Lett. 0950-0839 10.1080/09500830601059641 87, 19 (2007); L. W. Wang, J. Chem. Phys. 0021-9606 10.1063/1.2732743 126, 187101 (2007); H. -J. Fecht, Nature 356, 133 (1992).
18. C. A. Angell, J. Non-Cryst. Solids 131-133, 13 (1991). 0022-3093
19. R. Bohmer, K. L. Ngai, C. A. Angell, and D. J. Plazek, J. Chem. Phys. 0021-9606 10.1063/1.466117 99, 4201 (1993).
20. L. W. Wang, L. Zhang, and K. Lu, Philos. Mag. Lett. 85, 213 (2005). 0950-0839
21. See website http://www.webelements.com.
22. C. A. Angell, Physica D 0167-2789 10.1016/S0167-2789(97)00077-8 107, 122 (1997).
23. K. J. Crowley and G. Zografi, Thermochim. Acta 0040-6031 10.1016/S0040-6031(01)00662-1 380, 79 (2001).
24. M. Baranek, M. Breslin, and J. G. Berberian, J. Non-Cryst. Solids 172-174, 223 (1994). 0022-3093
25. A. Ghijsels, N. Groesbeek, and J. Raadsen, Polymer 25, 463 (1984). 0032-3861
26. H. A. Davis, in Rapidly Quenched Metals III, edited by, B. Cantor, (Chameleon, London, 1978), Vol. 1, p. 18.
27. J. Malek and J. Shanelova, J. Non-Cryst. Solids 0022-3093 10.1016/j.jnoncrysol.2005.09.004 351, 3458 (2005).
28. T. Yamasaki, N. Yufune, H. Ushio, D. Okai, T. Fukami, H. M. Kimura, and A. Inoue, Mater. Sci. Eng., A 375-377, 705 (2004). 0921-5093
29. L. Battezzati, Mater. Sci. Eng., A 375-377, 60 (2004). 0921-5093
30. R. Busch, A. Masuhr, and W. L. Johnson, Mater. Sci. Eng., A 304-306, 97 (2001). 0921-5093
31. S. Mukherjee, J. Schroers, Z. Zhou, W. L. Johnson, and W. -K. Rhim, Acta Mater. 1359-6454 10.1016/j.actamat.2004.04.023 52, 3689 (2004).
32. L. Stojanova and K. Russew, Mater. Sci. Eng., A 266-228, 483 (1997). 1359-6454
33. R. Busch, W. Liu, and W. L. Johnson, J. Appl. Phys. 0021-8979 10.1063/1.367167 83, 4134 (1998).
34. A. Sipp, Y. Bottinga, and P. Richet, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(01)00527-0 288, 166 (2001).
35. D. Sykes, J. E. Dickinson, R. W. Luth, and C. M. Scarfe, Geochim. Cosmochim. Acta 0016-7037 10.1016/0016-7037(93)90065-5 57, 1291 (1993).
36. P. Richet, Geochim. Cosmochim. Acta 0016-7037 10.1016/0016-7037(84)90275- 8 48, 471 (1984).
37. D. B. Dingwell and D. Virgo, Geochim. Cosmochim. Acta 0016-7037 10.1016/0016-7037(88)90095-6 52, 395 (1988).
38. T. Pfeiffer, Solid State Ionics 0167-2738 10.1016/S0167-2738(97)00475-X 105, 277 (1998).
39. C. Romano, B. Poe, V. Mincione, K. U. Hess, and D. B. Dingwell, Chem. Geol. 0009-2541 10.1016/S0009-2541(00)00311-9 174, 115 (2001).
40. A. Sipp, D. R. Neuville, and P. Richet, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(96)00648-5 211, 281 (1997).
41. M. J. Toplis and D. B. Dingwell, Geochim. Cosmochim. Acta 0016-7037 10.1016/j.gca.2004.05.041 68, 5169 (2004).
42. A. Whittington, P. Richet, and F. Holtz, Geochim. Cosmochim. Acta 0016-7037 10.1016/S0016-7037(00)00448-8 64, 3725 (2000).
43. E. Bourgue and P. Richet, Earth Planet. Sci. Lett. 0012-821X 10.1016/S0012-821X(01)00491-5 193, 57 (2001).
44. M. Ali Bouhifd, A. Sipp, and P. Richet, Geochim. Cosmochim. Acta 0016-7037 10.1016/S0016-7037(99)00145-3 63, 2429 (1999).
45. M. Liska, P. Simurka, J. Antalik, and P. Perichta, Chem. Geol. 0009-2541 10.1016/0009-2541(95)00173-5 128, 199 (1996).
46. R. Brüning and T. Crowell, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(99)00302-6 248, 183 (1999).
47. K. Matusita, M. Koide, and T. Komatsu, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(05)80753-7 140, 119 (1992).
48. M. Koide, K. Matusita, and T. Komatsu, J. Non-Cryst. Solids 0022-3093 10.1016/0022-3093(90)90327-I 125, 93 (1990).
49. D. J. Plazek and J. H. Magill, J. Chem. Phys. 0021-9606 10.1063/1.1728059 45, 3038 (1966).
50. D. J. Plazek and J. H. Magill, J. Chem. Phys. 0021-9606 10.1063/1.1670651 49, 3678 (1968).
51. W. T. Laughlin and D. R. Uhlmann, J. Phys. Chem. 0022-3654 10.1021/j100660a023 76, 2317 (1972).
52. K. L. Ngai, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(00)00238-6 275, 7 (2000).
53. L. Battezzati, Mater. Sci. Eng., A 375-377, 60 (2004). 0921-5093
54. W. Gotze and L. Sjogren, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/55/ 3/001 55, 241 (1992).
55. S. P. Das, Rep. Prog. Phys. 76, 785 (2004). 0034-4885
56. W. Gotze, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/11/10A/ 002 11, A1 (1999).
57. K. Ratzke, V. Zollmer, A. Bartsch, A. Mever, and F. Faupel, J. Non-Cryst. Solids 353, 3285 (2007). 0022-3093
58. A. P. Sokolov, Science 0036-8075 10.1126/science.273.5282.1675 273, 1675 (1996).
59. V. N. Novikov and A. P. Sokolov, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.031507 67, 031507 (2003).
60. A. Brodin, L. Borjesson, D. Engberg, L. M. Torell, and A. P. Sokolov, Phys. Rev. B 0163-1829 10.1103/PhysRevB.53.11511 53, 11511 (1996).
61. M. Goldstein, J. Chem. Phys. 0021-9606 10.1063/1.1672587 51, 3728 (1969).
62. H. N. Ritland, J. Am. Ceram. Soc. 0002-7820 10.1111/j.1151-2916.1954. tb14053.x 37, 370 (1954).
63. W. Kauzmann, Chem. Rev. (Washington, D.C.) 0009-2665 10.1021/cr60135a002 43, 219 (1948).
64. F. H. Stillinger, P. C. Debenedetti, and T. M. Truskett, J. Phys. Chem. B 1089-5647 10.1021/jp011840i 105, 11809 (2001).
65. G. P. Johari, J. Non-Cryst. Solids 0022-3093 10.1016/S0022-3093(01)00626- 3 288, 148 (2001).
66. D. Huang, S. L. Simon, and G. B. McKenna, J. Chem. Phys. 0021-9606 10.1063/1.1599271 119, 3590 (2003).
67. M. Pyda and B. Wunderlich, J. Polym. Sci., Part B: Polym. Phys. 0887-6266 10.1002/polb.10160 40, 1245 (2002).
68. Q. Yan, T. S. Jain, and J. J. de Pablo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.235701 92, 235701 (2004).
69. M. Wolfgardt, J. Baschnagel, W. Paul, and K. Binder, Phys. Rev. E 1063-651X 10.1103/PhysRevE.54.1535 54, 1535 (1996).
70. G. J. Fan and H. J. Fecht, J. Chem. Phys. 0021-9606 10.1063/1.1448494 116, 5002 (2002).
71. J. C. Dyre, J. Non-Cryst. Solids 235-237, 142 (1998).
72. J. C. Dyre, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.78.953 78, 953 (2006).
73. D. Turnbull and M. H. Cohen, J. Chem. Phys. 0021-9606 10.1063/1.1731549 34, 120 (1961).
74. D. Turnbull and M. H. Cohen, J. Chem. Phys. 0021-9606 10.1063/1.1673434 52, 3038 (1970).
75. J. H. Gibbs and E. A. DiMarzio, J. Chem. Phys. 0021-9606 10.1063/1.1744141 28, 373 (1958).
76. G. Adam and J. H. Gibbs, J. Chem. Phys. 0021-9606 10.1063/1.1696442 43, 139 (1965).
77. J. C. Dyre, N. B. Olsen, and T. Christensen, Phys. Rev. B 0163-1829 10.1103/PhysRevB.53.2171 53, 2171 (1996).