Ion transport in the fragile glass former [Formula Presented]-2Ca([Formula Presented][Formula Presented]

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 1, 1996, Pages 676-684

  Pimenov, A ^a   Lunkenheimer, P ^a   Rall, H ^a   Kohlhaas, R ^a   Loidl, A ^a   Bohmer R ^a,b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000973388     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.676     Document Type: Article

References (78)

1. W. Götze and L. Sjögren, Rep. Prog. Phys.55, 241 (1992).
2. G. Mazenko, J. Non-Cryst. Solids172–174, 1 (1994).
3. W. Kob and H. C. Anderson, Phys. Rev. E52, 4134 (1995).
4. C. A. Angell, in Relaxations in Complex Systems, edited by K. L. Ngai and G. B. Wright (Naval Research Laboratory, Washington, DC, 1984), p. 3.
5. E. Thilo, C. Wieker and W. Wieker, Silikattechnik15, 109 (1964).
6. A. Dietzel and H. P. Poegel, in Proceedings of the International Glass Congress, Venice, 1953, edited by A. Garzanti (Nella Stabilimento Grafico di Roma Delle, Rome, 1953), p. 219.
7. C. A. Angell and L. M. Torell, J. Chem. Phys.78, 937 (1983).
8. G. F. Signorini, J.-L. Barrat and M. L. Klein, J. Chem. Phys.92, 1294 (1990).
9. F. Mezei, W. Knaak and B. Farago, Phys. Rev. Lett.58, 571 (1987);
10. in Dynamics of Disordered Materials, edited by D. Richter, A. J. Dianoux, W. Petry, and J. Teixeira (Springer, Berlin, 1989), p. 64.
11. W. Petry and J. Wuttke, Transp. Theor. Stat. Phys.24, 1075 (1995).
12. G. Li, W. M. Du, X. K. Chen, H. Z. Cummins and N. Z. Tao, Phys. Rev. A45, 3867 (1992);
13. H. Z. Cummins, G. Li, W. M. Du, J. Hernandez and N. Z. Tao, J. Phys. Condens. Matter A6, 52 (1994).
14. The so-called Β minimum so far could not be detected in dielectric measurements below 40 GHz on polymers and insulating supercooled liquids;
15. see, e.g., A. Hofmann, F. Kremer, E. W. Fischer, and A. Schönhals, in Disorder Effects on Relaxational Processes, edited by R. Richert and A. Blumen (Springer, Berlin, 1994), p. 309;
16. P. K. Dixon, N. Menon and S. R. Nagel, Phys. Rev. E50, 1717 (1994);
17. P. Lunkenheimer, A. Pimenov, B. Schiener, R. Böhmer and A. Loidl, Europhys. Lett.33, 611 (1996).
18. P. Lunkenheimer, A. Pimenov, R. Kohlhaas, R. Böhmer, and A. Loidl (unpublished).
19. H. Tweer, N. Laberge and P. B. Macedo, J. Am. Ceram. Soc.54, 121 (1971).
20. R. Weiler, R. Bose and P. B. Macedo, J. Chem. Phys.53, 1258 (1970).
21. H. G. K. Sundar and C. A. Angell, in Collected Papers of the XIVth International Congress on Glass, New Delhi, 1985 (Indian Ceramic Society, Calcutta, 1986), Vol. II, pp. 161–168;
22. C. A. Angell, J. Non-Cryst. Solids102, 205 (1988).
23. C. T. Moynihan, H. Sasabe, and J. C. Tucker, in Proceedings of the International Symposium on Molten Salts, edited by J. P. Pennsler, J. Bronstein, D. R. Morris, K. Nobe, and W. P. Richards (Electrochemical Society, Pennington, NJ, 1976), p. 182.
24. B. Büchner and P. Korpiun, Appl. Phys.43, 29 (1987).
25. R. Böhmer, E. Sanchez and C. A. Angell, J. Phys. Chem.96, 9089 (1992).
26. Y. H. Jeong and I. K. Moon, Phys. Rev. B52, 6381 (1995).
27. J. Wong and C. A. Angell, J. Non-Cryst. Solids,7, 109 (1972).
28. M. Grimsditch, R. Bhadra and L. M. Torell, Phys. Rev. Lett.62, 2616 (1989).
29. L.-T. Cheng, Y.-X. Yan and K. A. Nelson, J. Chem. Phys.91, 6052 (1989).
30. D. L. Sidebottom and C. M. Sorensen, J. Chem. Phys.91, 7153 (1989).
31. E. A. Pavlatou, A. K. Rizos, G. N. Papatheodorou and G. Fytas, J. Chem. Phys.94, 224 (1991).
32. M. Grimsditch and L. M. Torell, in Dynamics of Disordered Materials, edited by D. Richter, A. J. Dianoux, W. Petry, and J. Teixeira (Springer, Berlin, 1989), p. 196.
33. C. A. Angell, J. Non-Cryst. Solids131–133, 15 (1991).
34. C. Mai, S. Etienne, J. Perez and G. P. Johari, Philos. Mag. B50, 657 (1985).
35. P. Jacobsson, L. Börjesson, A. K. Hassan, and L. M. Torell, J. Non-Cryst. Solids172–174, 161 (1994).
36. M. Ricci, P. Foggi, R. Righini and R. Torre, J. Chem. Phys.98, 4892 (1993).
37. T. Kamiyama, K. Shibata, K. Suzuki, and Y. Nakamura, J. Non-Cryst. Solids192-193, 272 (1995).
38. A. K. Raychaudhuri and R. O. Pohl, Phys. Rev. B25, 1310 (1982).
39. A. Pimenov, P. Lunkenheimer, M. Nicklas, R. Böhmer, and A. Loidl (unpublished).
40. A. P. Sokolov, A. Kisliuk, D. Quitmann, A. Kudlik, and E. Rössler, J. Non-Cryst. Solids172–174, 138 (1994).
41. A. Barkatt and C. A. Angell, J. Phys. Chem.71, 2192 (1975).
42. E. Rhodes, W. E. Smith and A. R. Ubbelohde, Trans. Faraday Soc.63, 1943 (1967).
43. F. S. Howell, R. A. Bose, P. B. Macedo and C. T. Moynihan, J. Phys. Chem.78, 631 (1974).
44. K. Funke, J. Hermeling and J. Kümpers, Z. Naturforsch. Teil A43, 1094 (1988).
45. F. S. Howell, Ph. D. thesis, The Catholic University, Washington, DC, 1972 (unpublished).
46. A. Doi, Solid State Ionics31, 227 (1988).
47. G. P. Johari and K. Pathmanathan, Phys. Chem. Glasses29, 219 (1988).
48. C. T. Moynihan, J. Non-Cryst. Solids172–174, 1395 (1994).
49. R. H. Cole and E. Tombari, J. Non-Cryst. Solids131–133, 969 (1991).
50. S. R. Elliott, J. Non-Cryst. Solids170, 97 (1994).
51. C. A. Angell, Chem. Rev.90, 523 (1990).
52. I. Svare, F. Borsa, D. R. Torgeson, S. W. Martin and H. Patel, J. Non-Cryst. Solids185, 297 (1995).
53. I. M. Hodge and C. A. Angell, J. Chem. Phys.67, 4 (1977).
54. W. C. Hasz, C. T. Moynihan, and P. A. Tick, J. Non-Cryst. Solids172–174, 1363 (1994).
55. K. L. Ngai, R. W. Rendell, A. K. Rajagopal and S. Teitler, Ann. N. Y. Acad. Sci.484, 150 (1984).
56. H. Senapati, R. K. Kadiyala and C. A. Angell, J. Phys. Chem.95, 7050 (1991).
57. L. Hayler and M. Goldstein, J. Chem. Phys.66, 4736 (1977).
58. P. B. Macedo, C. T. Moynihan and R. Bose, Phys. Chem. Glasses13, 171 (1972).
59. Impedance Spectroscopy—Emphasizing Solid Materials and Systems, edited by J. R. MacDonald (Wiley, New York, 1987).
60. E. Warburg, Ann. Phys. Chem.67, 493 (1899).
61. A. K. Jonscher, Dielectric Relaxation in Solids (Chelsea Dielectrics, London, 1983).
62. Restricting the analysis to a limited frequency range can naturally lead to better fits using Eq. (3);
63. however, the question of the reliability of the fitting parameters has to be raised.
64. See D. L. Sidebottom, P. F. Green and R. K. Brow, J. Non-Cryst. Solids183, 151 (1995).
65. W. K. Lee, J. F. Liu and A. S. Nowick, Phys. Rev. Lett.67, 1559 (1991).
66. C. T. Moynihan, L. P. Boesch and N. L. Laberge, Phys. Chem. Glasses14, 122 (1973).
67. R. Böhmer, P. Lunkenheimer, M. Lotze, and A. Loidl, Z. Phys. B (to be published).
68. K. L. Ngai and J. N. Mundy, in The Physics of Non-Crystalline Solids, edited by L. D. Pye, W. C. LaCourse, and H. J. Stevens (Taylor and Francis, London, 1992), p. 342.
69. M. A. Floriano and C. A. Angell, J. Chem. Phys.91, 2537 (1989).
70. C. A. Angell and R. Böhmer, in Applications of Mechanical Spectroscopy in Materials Science, edited by L. B. Magalas (Elsevier, Amsterdam, in press).
71. C. A. Angell, in Molten Salt Chemistry, Vol. 202 of NATO Advanced Study Institute, Series B: Physics, edited by G. Mamantov and R. Marassi (Plenum, New York, 1987), p. 123.
72. U. Strom, J. R. Hendrickson, R. J. Wagner and P. C. Taylor, Solid State Commun.15, 1871 (1977).
73. L. I. Deich, Phys. Rev. B49, 109 (1994).
74. U. Strom and P. C. Taylor, Phys. Rev. B16, 5512 (1977), Fig. 8.
75. C. A. Angell, L. Boehm, M. Oguni and D. L. Smith, J. Mol. Liq.56, 275 (1993).
76. R. Böhmer, K. L. Ngai, C. A. Angell and D. J. Plazek, J. Chem. Phys.99, 4201 (1993).
77. K. L. Ngai (private communication).
78. C. P. Lindsey and G. D. Patterson, J. Chem. Phys.73, 3348 (1980).