Heterogeneity at the glass transition: A review

Journal of Non-Crystalline Solids

Volumn 243, Issue 2-3, 1999, Pages 81-108

  Sillescu, Hans ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002805179     PISSN: 00223093     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-3093(98)00831-X     Document Type: Article

References (267)

1. M. Goldstein, J. Chem. Phys. 51 (1969) 3728.
2. E. Leutheusser, Phys. Rev. A 29 (1984) 2765.
3. U. Bengtzelius, W. Götze, A. Sjölander, J. Phys. C 17 (1984) 5915.
4. W. Götze, L. Sjögren, Rep. Prog. Phys. 55 (1992) 241, and references therein.
5. J.E. Anderson, R. Ullmann, J. Chem. Phys. 47 (1967) 2178.
6. F. Bueche, J. Chem. Phys. 21 (1953) 1850; 24 (1956) 418; 30 (1959) 748.
7. F. Bueche, J. Chem. Phys. 21 (1953) 1850; 24 (1956) 418; 30 (1959) 748.
8. F. Bueche, J. Chem. Phys. 21 (1953) 1850; 24 (1956) 418; 30 (1959) 748.
9. R. Böhmer, Current Opinion Solid State Mater. Sci. 3 (1998) 378.
10. W. Kauzmann, Chem. Rev. 43 (1948) 219.
11. J.H. Gibbs, E.A. DiMarzio, J. Chem. Phys. 28 (1958) 373; E.A. DiMarzio, A.J.M. Yang, J. Res. Nat. Inst. Stand. Technol. 102 (1997) 135, and references therein.
12. J.H. Gibbs, E.A. DiMarzio, J. Chem. Phys. 28 (1958) 373; E.A. DiMarzio, A.J.M. Yang, J. Res. Nat. Inst. Stand. Technol. 102 (1997) 135, and references therein.
13. H. Eyring, J. Chem. Phys. 4 (1936) 283.
14. E. Jenckel, Z. Physik. Chem. 184 (1939) 309.
15. R.M. Barrer, Trans. Farad. Soc. 38 (1942) 322; 39 (1943) 48, 59.
16. R.M. Barrer, Trans. Farad. Soc. 38 (1942) 322; 39 (1943) 48, 59.
17. G. Adam, J.H. Gibbs, J. Chem. Phys. 43 (1965) 139.
18. M.H. Cohen, D. Turnbull, J. Chem. Phys. 31 (1959) 1164.
19. M.H. Cohen, G.S. Grest, Phys. Rev. B 20 (1979) 1077.
20. W. Kauzmann, Revs. Mod. Phys. 14 (1942) 12.
21. H. Fröhlich, Theory of Dielectrics, Clarendon, Oxford 1949.
22. G.E. Uhlenbeck, L.S. Ornstein, Phys. Rev. 36 (1930) 823.
23. C.F.J. Böttcher, P. Bordewijk, Theory of Electric Polarization, vol. II, Elsevier, Amsterdam, 1978.
24. K.W. Wagner, Ann. Phys. 40 (1913) 817.
25. R. Zimmermann, W.E. Brittin, J. Phys. Chem. 61 (1957) 1328.
26. D. Beckert, H. Pfeifer, Ann. Phys. (Leipzig) 16 (1965) 262.
27. J.E. Anderson, P.A. Fryer, J. Chem. Phys. 50 (1969) 3784.
28. H. Sillescu, J. Chem. Phys. 54 (1971) 2110.
29. F. Fujara, B. Geil, H. Sillescu, G. Fleischer, Z. Phys. B 88 (1992) 195.
30. I. Chang, F. Fujara, B. Geil, G. Heuberger, T. Mangel, H. Sillescu, J. Non-Cryst. Solids 172-174 (1994) 248.
31. M.T. Cicerone, M.D. Ediger, J. Chem. Phys. 104 (1996) 7210.
32. F.H. Stillinger, J. Chem. Phys. 89 (1988) 6461, and references therein.
33. F.H. Stillinger, J.A. Hodgdon, Phys. Rev. E 50 (1994) 2064.
34. F.H. Stillinger, J.A. Hodgdon, Phys. Rev. E 53 (1996) 2995.
35. H. Sillescu, Phys. Rev. E 53 (1996) 2992.
36. I. Chang, H. Sillescu, J. Phys. Chem. B 101 (1997) 8794.
37. H.J.V. Tyrrell, K.R. Harris, Diffusion in Liquids, Butterworths, London 1984.
38. E.J. Donth, J. Non-Cryst. Solids 53 (1982) 325; 131-133 (1991) 204.
39. E.J. Donth, J. Non-Cryst. Solids 53 (1982) 325; 131-133 (1991) 204.
40. C.Z.-W. Liu, I. Oppenheim, Phys. Rev. E 53 (1996) 799.
41. R. Zwanzig, Chem. Phys. Lett. 164 (1989) 639.
42. M.T. Cicerone, P.A. Wagner, M.D. Ediger, J. Chem. Phys. 101 (1997) 8727.
43. C.T. Moynihan and J. Schroeder, J. Non-Cryst. Solids 160 (1993) 52; 161 (1993) 148.
44. C.T. Moynihan and J. Schroeder, J. Non-Cryst. Solids 160 (1993) 52; 161 (1993) 148.
45. K.L. Ngai, R.W. Rendell, D.J. Plazek, J. Chem. Phys. 94 (1991) 3018.
46. J. Jäckle, Rept. Prog. Phys. 49 (1986) 171.
47. I.M. Hodge, J. Non-Cryst. Solids 169 (1994) 211.
48. U. Mohanty, Adv. Chem. Phys. 89 (1995) 89.
49. S. Takahara, O. Yamamuro, T. Matsuo, J. Phys. Chem. 99 (1995) 9589.
50. R. Richert, C.A. Angell, J. Chem. Phys. 108 (1998) 9016.
51. L.D. Landau, E.M. Lifshitz, Statistical Physics, Addison-Wesley, Reading, MA, 1969.
52. E.-J. Donth, Relaxation and Thermodynamics in Polymers, Glass Transition, Akademie Verlag, Berlin, 1992.
53. U. Mohanty, J. Chem. Phys. 100 (1994) 5905.
54. R.E. Robertson, J. Polym. Sci., Polym. Symp. 63 (1978) 173.
55. M.D. Ediger, J. Non-Cryst. Solids 235-237 (1998) 10.
56. H. Sillescu, Acta Polym. 45 (1994) 2.
57. C.A. Angell, J. Non-Cryst. Solids 131-133 (1991) 13.
58. SV.
59. D.A. McQuarry, Statistical Mechanics, Harper and Row, New York, 1976.
60. J.D. Ferry, Viscoelastic Properties of Polymers, 3rd ed., Wiley, New York, 1980.
61. E. Donth, J. Polym. Sci. (Polym. Phys. Ed.) B 34 (1996) 2881.
62. E. Donth, S. Kahle, J. Korus, M. Beiner, J. Phys. I France 7 (1997) 581.
63. A. Zetsche, E.W. Fischer, Acta Polym. 45 (1994) 168.
64. N. Menon, S.R. Nagel, Phys. Rev. Lett. 74 (1995) 1230.
65. R.L. Leheny, S.R. Nagel, Europhys. Lett. 39 (1997) 477; Phys. Rev. B 57 (1998) 5154.
66. R.L. Leheny, S.R. Nagel, Europhys. Lett. 39 (1997) 477; Phys. Rev. B 57 (1998) 5154.
67. K. Binder, A.P. Young, Rev. Mod. Phys. 58 (1986) 801.
68. K.H. Fischer, J.A. Hertz, Spin Glasses, Cambridge University, Cambridge, 1991.
69. J.H. Simmons, P.B. Macedo, J. Chem. Phys. 54 (1971) 1325.
70. H. Tweer, J.H. Simmons, P.B. Macedo, J. Chem. Phys. 54 (1971) 1952.
71. J.D. Ferry, L.D. Grandine, E.R. Fitzgerald, J. Appl. Phys. 24 (1953) 911.
72. H. Bässler, Phys. Rev. Lett. 58 (1987) 767.
73. A.I. Mel'cuk, R.A. Ramos, H. Gould, W. Klein, R. Mountain, Phys. Rev. Lett. 75 (1995) 2522; G. Johnson, A.I. Mel'cuk, H. Gould, W. Klein, R.D. Mountain, Phys. Rev. E 57 (1998) 5707.
74. A.I. Mel'cuk, R.A. Ramos, H. Gould, W. Klein, R. Mountain, Phys. Rev. Lett. 75 (1995) 2522; G. Johnson, A.I. Mel'cuk, H. Gould, W. Klein, R.D. Mountain, Phys. Rev. E 57 (1998) 5707.
75. M.E. Fisher, Physics 3 (1967) 225.
76. C.A. Angell, J. Phys. Chem. 75 (1971) 3698, and references therein.
77. C.T. Moynihan, Mater. Res. Soc. Proc. 455 (1997) 411 and references therein.
78. C.A. Angell, K.J. Rao, J. Chem. Phys. 57 (1972) 470.
79. C.A. Angell, in: J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), Theoretical and experimental approaches to supercooled liquids, ACS, Washington, 1997, p. 14.
80. S. Glarum, J. Chem. Phys. 33 (1960) 1371.
81. J.T. Bendler, M.F. Shlesinger, J. Phys. Chem. 96 (1992) 3970.
82. E.W. Fischer, Ch. Becker, J.-U. Hagenah, G. Meier, Progr. Colloid Polym. Sci. 80 (1989) 198.
83. E.W. Fischer, Physica A 201 (1993) 183.
84. A.S. Bakai, Low. Temp. Phys. 22 (1996) 733; 24 (1998) 20.
85. A.S. Bakai, Low. Temp. Phys. 22 (1996) 733; 24 (1998) 20.
86. E.W. Fischer, A.S. Bakai, Proc. 8th Tohwa Univ. Symp. on Slow Dynamics in Complex Systems, Am. Inst. Phys. Conf. Proc., in press.
87. P.B. Macedo, T.A. Litovitz, J. Chem. Phys. 42 (1965) 245.
88. D.R. Nelson, Phys. Rev. Lett. 50 (1983) 982.
89. J.M. Carlson, S.A. Langer, J.P. Sethna, Europhys. Lett. 5 (1988) 327.
90. A two-dimensional example is the packing of pentagons which is impossible in a flat plane, however, 12 pentagons can be perfectly packed on a curved plane that constitutes the surface of a sphere where the corners of the pentagons also are the corners of a regular dodecahedron in three-dimensional space.
91. S.A. Kivelson, X.-C. Zeng, D. Kivelson, C.M. Knobler, T. Fischer, J. Chem. Phys. 101 (1994) 2391.
92. D. Kivelson, S.A. Kivelson, X. Zhao, Z. Nussinov, G. Tarjus, Physica A 219 (1995) 27.
93. G. Tarjus, D. Kivelson, S.A. Kivelson, in: J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), Theoretical and Experimental Approaches to Supercooled Liquids, ACS, Washington 1997, p. 67; D. Kivelson, J. Tarjus, J. Non-Cryst. Solids 235-237 (1998) 86.
94. G. Tarjus, D. Kivelson, S.A. Kivelson, in: J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), Theoretical and Experimental Approaches to Supercooled Liquids, ACS, Washington 1997, p. 67; D. Kivelson, J. Tarjus, J. Non-Cryst. Solids 235-237 (1998) 86.
95. D. Kivelson, G. Tarjus, X. Zhao, S.A. Kivelson, Phys. Rev. E 53 (1996) 751.
96. M. Foley, P. Harrowell, J. Chem. Phys. 98 (1993) 5069.
97. R.V. Chamberlin, Phys. Rev. B 48 (1993) 15638, and references therein.
98. R.V. Chamberlin, D.W. Kingsbury, J. Non-Cryst. Solids 172-174 (1994) 318.
99. R.V. Chamberlin, R. Böhmer, E. Sanchez, C.A. Angell, Phys. Rev. B 46 (1992) 5787.
100. W. Ertel. K. Froböse, J. Jäckle, J. Chem. Phys. 22 (1988) 5027.
101. J. Jäckle in: R. Richert, A. Blumen (Eds.), Disorder Effects on Relaxational Processes, Springer, Berlin, 1994, p. 233; J. Non-Cryst. Solids 172-174 (1994) 104, and references therein.
102. J. Jäckle in: R. Richert, A. Blumen (Eds.), Disorder Effects on Relaxational Processes, Springer, Berlin, 1994, p. 233; J. Non-Cryst. Solids 172-174 (1994) 104, and references therein.
103. M. Mooney, J. Colloid Sci. 6 (1951) 162.
104. E. Bartsch, V. Frenz, S. Möller, H. Sillescu, Physica A 201 (1993) 363.
105. G.H. Fredrickson, H.C. Anderson, Phys. Rev. Lett. 53 (1984) 1244; J. Chem. Phys. 83 (1985) 5822.
106. G.H. Fredrickson, H.C. Anderson, Phys. Rev. Lett. 53 (1984) 1244; J. Chem. Phys. 83 (1985) 5822.
107. G.H. Fredrickson, Ann. Revs. Phys. Chem. 39 (1988) 149.
108. J. Reiter, J. Chem. Phys. 95 (1991) 544.
109. D. Sappelt, J. Jäckle, J. Phys. A 26 (1993) 7325.
110. S. Buttler, P. Harrowell, J. Chem. Phys. 95 (1991) 4466.
111. M. Schulz, P.R.S. Sharma, H.L. Frisch, Phys. Rev. B 52 (1995) 7195.
112. A. Heuer, U. Tracht, H.W. Spiess, J. Chem. Phys. 107 (1997) 3813.
113. S.F. Edwards, K.E. Evans, J. Chem. Soc. Farad. Trans. II 78 (1982) 113.
114. S.F. Edwards, T.A. Vilgis, Physica Scripta T 13 (1986) 7.
115. T.A. Vilgis, in: R. Richert, A. Blumen (Eds.), Disorder Effects on Relaxational Processes, Springer, Berlin, 1994, p. 153.
116. D. Stratman, B. Chu, Macromolecules 17 (1984) 1537.
117. B. Chichocki, K. Hinsen, Physica A 166 (1990) 473.
118. C. Zener, Acta Crystallogr. 3 (1950) 346.
119. T. Pakula, Macromolecules 20 (1987) 679.
120. T. Pakula, S. Geyler, Macromolecules 21 (1988) 1665.
121. T. Pakula, J. Chem. Phys. 94 (1991) 2104.
122. R. Orbach, Science 231 (1986) 814; M.F. Shlesinger, Ann. Rev. Phys. Chem. 39 (1988) 269.
123. R. Orbach, Science 231 (1986) 814; M.F. Shlesinger, Ann. Rev. Phys. Chem. 39 (1988) 269.
124. S. Havlin, D. Ben Avraham, Adv. Phys. 36 (1987) 695.
125. J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
126. J.-P. Bouchaud, A. Georges, Phys. Rep. 195 (1990) 127.
127. G. Zumofen, J. Klafter, A. Blumen, in: R. Richert, A. Blumen (Eds.), Disorder Effects on Relaxational Processes, Springer, Berlin, 1994, p. 251.
128. A.K. Jonscher, Universal Relaxation Law, Chelsea Dielectrics, London, 1996.
129. S. Alexander, J. Bernasconi, W.R. Schneider, R. Orbach, Revs. Mod. Phys. 53 (1981) 175.
130. H. Sillescu, J. Chem. Phys. 104 (1996) 4877.
131. R.G. Palmer, D.L. Stein, E. Abrahams, P.W. Anderson, Phys. Rev. Lett. 53 (1984) 958.
132. J.F. Douglas, Comp. Mater. Sci. 4 (1995) 292.
133. J.F. Douglas, D. Leporini, J. Non-Cryst. Solids 235-237 (1998) 137.
134. K.L. Ngai, Comments Solid State Phys. 9 (1979) 127; 149.
135. K.L. Ngai, in: R. Richert, A. Blumen (Eds.), Disorder Effects on Relaxational Processes, Springer, Berlin, 1994, p. 89, and references therein.
136. K.Y. Tsang, K.K. Ngai, Phys. Rev. E 54 (1996) R3067; E 56 (1997) R17.
137. K.Y. Tsang, K.K. Ngai, Phys. Rev. E 54 (1996) R3067; E 56 (1997) R17.
138. K.L. Ngai, R.W. Rendell, J. Molec. Liq. 56 (1993) 199.
139. C.M. Roland, K.L. Ngai, J. Chem. Phys. 104 (1996) 2967.
140. K.L. Ngai, J. Non-Cryst. Solids 203 (1996) 232.
141. K.L. Ngai, D.J. Plazek, Rubb. Chem. Tech., Rubber Rev. 68 (1995) 376.
142. B. Derrida, Phys. Rev. Lett. 45 (1980) 79.
143. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. B 36 (1987) 8552.
144. T.R. Kirkpatrick, D. Thirumalai, P.G. Wolynes, Phys. Rev. A 40 (1989) 1045.
145. P.G. Wolynes, J. Res. Nat. Inst. Stand. Technol. 102 (1997) 187.
146. F.H. Stillinger, Science 267 (1995) 1935, and references therein.
147. C.A. Angell, J. Phys. Chem. Solids 49 (1988) 863.
148. C.A. Angell, J. Res. Nat. Inst. Stand. Technol. 102 (1997) 171.
149. S.A. Brawer, J. Chem. Phys. 81 (1984) 954.
150. J.C. Dyre, Phys. Rev. Lett. 58 (1987) 792; Phys. Rev. B 51 (1995) 12276; J. Non-Cryst. Solids 235-237 (1998) 142.
151. J.C. Dyre, Phys. Rev. Lett. 58 (1987) 792; Phys. Rev. B 51 (1995) 12276; J. Non-Cryst. Solids 235-237 (1998) 142.
152. J.C. Dyre, Phys. Rev. Lett. 58 (1987) 792; Phys. Rev. B 51 (1995) 12276; J. Non-Cryst. Solids 235-237 (1998) 142.
153. A. Heuer, Phys. Rev. Lett. 78 (1997) 4051.
154. H. Frauenfelder, S.G. Sugar, P.G. Wolynes, Science 254 (1991) 1598.
155. F.H. Stillinger, T.A. Weber, Science 225 (1984) 983, and references therein.
156. S. Franz, G. Parisi, Phys. Rev. Lett. 79 (1997) 2486.
157. R. Monasson, Phys. Rev. Lett. 75 (1995) 2847.
158. G. Diezemann, J. Chem. Phys. 107 (1997) 10112.
159. D. Thirumalai, R. Mountain, Phys. Rev. E 47 (1993) 479.
160. Th.M. Nieuwenhuizen, Phys. Rev. Lett. 78 (1997) 3491.
161. G. Diezemann, H. Sillescu, G. Hinze, R. Böhmer, Phys. Rev. E 57 (1998) 4398.
162. K. Schmidt-Rohr, H.W. Spiess, Multidimensional Solid-State NMR and Polymers, Academic Press, London, 1994.
163. I. Chang, G. Hinze, G. Diezemann, F. Fujara, H. Sillescu, Phys. Rev. Lett. 76 (1996) 2523.
164. G. Diezemann, W. Schirmacher, J. Phys. 2 (1990) 6681.
165. G. Hinze, G. Diezemann, H. Sillescu, J. Chem. Phys. 104 (1996) 430.
166. W. Schnauss, F. Fujara, K. Hartmann, H. Sillescu, Chem. Phys. Lett. 166 (1990) 381.
167. G. Hinze, H. Sillescu, J. Chem. Phys. 104 (1996) 314.
168. A. Döß, G. Hinze, G. Diezemann, R. Böhmer, H. Sillescu, Acta Polym. 49 (1998) 56.
169. J. Leisen, K. Schmidt-Rohr, H.W. Spiess, Physica A 201 (1993) 79.
170. I. Roggatz, E. Rössler, M. Taupitz, R. Richert, J. Phys. Chem. 100 (1996) 12193.
171. A. Kudlik, C. Tschirwitz, S. Benkhof, T. Blochowicz, E. Rössler, Europhys. Lett. 40 (1997) 649, and references therein.
172. K. Schmidt-Rohr, H.W. Spiess, Phys. Rev. Lett. 66 (1991) 3020.
173. R. Richert, M. Richert, Phys. Rev. E 58 (1998) 779.
174. R. Böhmer, R.V. Chamberlin, G. Diezemann, B. Geil, A. Heuer, G. Hinze, S.C. Kuebler, R. Richert, B. Schiener, H. Sillescu, H.W. Spiess, U. Tracht, M. Wilhelm, J. Non-Cryst. Solids 235-237 (1998) 1.
175. A. Heuer, M. Wilhelm, H. Zimmermann, H.W. Spiess, Phys. Rev. Lett. 75 (1995) 2851.
176. A. Heuer, Phys. Rev. E 56 (1997) 730.
177. R. Böhmer, G. Hinze, G. Diezemann, B. Geil, H. Sillescu, Europhys. Lett. 36 (1996) 55.
178. In practice, additional pulses and pulse sequences with different RF phase settings are applied for optimum filtering, cf. G. Hinze, R. Böhmer, G. Diezemann, H. Sillescu, J. Magn. Res. 131 (1998) 218.
179. G. Hinze, Phys. Rev. E 57 (1998) 2010; G. Hinze, G. Diezemann, H. Sillescu, Europhys. Lett. 44 (1998) 565.
180. G. Hinze, Phys. Rev. E 57 (1998) 2010; G. Hinze, G. Diezemann, H. Sillescu, Europhys. Lett. 44 (1998) 565.
181. S.C. Kuebler, A. Heuer, H.W. Spiess, Phys. Rev. E 56 (1997) 741.
182. R. Böhmer, G. Diezemann, G. Hinze, H. Sillescu, J. Chem. Phys. 108 (1998) 890.
183. G. Diezemann, G. Hinze, R. Böhmer, H. Sillescu, in: J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), Theoretical and experimental approaches to supercooled liquids, ACS, Washington 1997, p. 154.
184. 2(t) since molecular reorientation must be described by a non-Markoff process of molecular orientation, Ω(t), see Ref. [142].
185. A. Arbe, J. Colmenero, M. Monkebusch, D. Richter, Phys. Rev. Lett. 81 (1998) 590.
186. U. Tracht, A. Heuer, H.W. Spiess, J. Non-Cryst. Solids 235-237 (1998) 27.
187. A. Heuer, K. Okun, J. Chem. Phys. 106 (1997) 6176.
188. A. Heuer, S.C. Kuebler, U. Tracht, H.W. Spiess, Appl. Magn. Reson. 12 (1997) 183.
189. M. Vogel, E. Rössler, J. Phys. Chem. 102 (1998) 2102.
190. U. Tracht, M. Wilhelm, A. Heuer, H. Feng, K. Schmidt-Rohr, H.W. Spiess, Phys. Rev. Lett. 81 (1998) 2727.
191. B. Schiener, R. Böhmer, A. Loidl, R.V. Chamberlin, Science 274 (1996) 752.
192. B. Schiener, R.V. Chamberlin, G. Diezemann, R. Böhmer, J. Chem. Phys. 107 (1997) 7746.
193. It should be noted that in non-resonant hole burning a rate, κ, is selected whereas in the usual hole burning spectroscopy a transition frequency, ω, within an 'inhomogeneously broadened' spectrum is selected.
194. R. Richert, J. Phys. Chem. B 101 (1997) 6323; J. Non-Cryst. Solids, 235-237 (1998) 41.
195. R. Richert, J. Phys. Chem. B 101 (1997) 6323; J. Non-Cryst. Solids, 235-237 (1998) 41.
196. H. Wendt, R. Richert, J. Phys. Chem. 102 (1998) 5775.
197. A. Barkatt, C.A. Angell, J. Phys. Chem. 71 (1975) 2192.
198. R. Böhmer, E. Sanchez, C.A. Angell, J. Phys. Chem. 96 (1992) 9089.
199. M.T. Cicerone, M.D. Ediger, J. Phys. Chem. 97 (1993) 10489.
200. M.T. Cicerone, F.R. Blackburn, M.D. Ediger, Macromolecules 28 (1995) 8224.
201. G. Heuberger,H. Sillescu, J. Phys. Chem. 100 (1996) 15255.
202. The general case has been treated for the case of photoselection in absorption spectra by P. Jones, P. Darcy, G.S. Attard, W.J. Jones, G. Williams, Mol. Phys. 67 (1989) 1053; A. Kozak, G. Williams, ibid. 67 (1989) 1065.
203. The general case has been treated for the case of photoselection in absorption spectra by P. Jones, P. Darcy, G.S. Attard, W.J. Jones, G. Williams, Mol. Phys. 67 (1989) 1053; A. Kozak, G. Williams, ibid. 67 (1989) 1065.
204. M. Davies, P.J. Hains, G. Williams, J. Chem. Soc. Faraday II 69 (1973) 1785.
205. F.R. Blackburn, C.-Y. Wang, M.D. Ediger, J. Phys. Chem. 100 (1996) 18249.
206. M.T. Cicerone, F.R. Blackburn, M.D. Ediger, J. Chem. Phys. 102 (1995) 471.
207. D.B. Hall, D.D. Deppe, K.E. Hamilton, A. Dhinoj, J.M. Torkelson, J. Non-Cryst. Solids 235-237 (1998) 48, and references therein.
208. M.T. Cicerone, M.D. Ediger, J. Chem. Phys. 103 (1995) 5684.
209. N.A. Bokov, N.S. Andreev, Sov. J. Glass Phys. Chem. 15 (1989) 243.
210. J. Schroeder, M. Lee, S.K. Saha, J.H. Whang, C.T. Moynihan, J. Non-Cryst. Solids 203 (1996) 186, and references therein.
211. C.T. Moynihan, J.H. Whang, Mater. Res. Soc. Symp. Proc. 455 (1997) 133.
212. G. Fytas, C.H. Wang, D. Lilge, T. Dorfmüller, J. Chem. Phys. 75 (1981) 4247.
213. E.W. Fischer, E. Donth, W. Steffen, Phys. Rev. Lett. 68 (1992) 2344.
214. T. Kanaya, A. Patkowski, E.W. Fischer, J. Seils, H. Gläser, K. Kaji, Macromolecules 28 (1995) 7831.
215. B. Frick, D. Richter, Science 267 (1995) 1939, and references therein.
216. A.P. Sokolov, A. Kisliuk, M. Soltwisch, D. Quitmann, Phys. Rev. Lett. 69 (1992) 1540.
217. M. Krüger, M. Soltwisch, I. Petscherizin, D. Quitmann, J. Chem. Phys. 96 (1992) 7352.
218. U. Buchenau, Yu.M. Galperin, V.L. Gurevich, D.A. Parshin, M.A. Ramos, H.R. Schober, Phys. Rev. B 46 (1992) 2798.
219. W. Schirmacher, G. Diezemann, C. Ganter, Phys. Rev. Lett. 81 (1998) 136.
220. T. Franosch, W. Götze, M.R. Mayr, A.P. Singh, Phys. Rev. E 55 (1997) 3183.
221. R.L. Leheny, N. Menon, S.R. Nagel, K. Volin, D.L. Price, P. Thiyagarjan, J. Chem. Phys. 105 (1996) 7783.
222. T. Kanaya, I. Tsukushi, K. Kaji, Prog. Theor. Phys. Suppl. 126 (1997) 133.
223. T. Kanaya, I. Tsukushi, K. Kaji, B. Gabrys, S.M. Bennington, J. Non-Cryst. Solids 235-237 (1998) 212.
224. S.K. Nayak, P. Jena, K.D. Ball, R.S. Berry, J. Chem. Phys. 108 (1998) 234.
225. J. Dubochet, M. Adrian, J. Teixera, C.M. Alba, R.A. Kadiyala, D.R. MacFarlane, C.A. Angell, J. Phys. Chem. 88 (1984) 6727.
226. M. Arndt, R. Stannarius, E. Groothues, E. Hempel, F. Kremer, Phys. Rev. Lett. 79 (1997) 2077.
227. Yu.B. Mel'nichenko, J. Schüller, R. Richert, B. Ewen, C.K. Loong, J. Chem. Phys. 103 (1995) 2016.
228. T. Ruths, PhD dissertation, Univ. Mainz, 1996; T. Ruths et al., to be published.
229. T. Ruths, PhD dissertation, Univ. Mainz, 1996; T. Ruths et al., to be published.
230. G. Carini, V. Grupi, G. D'Angelo, D. Majolino, P. Migliardo, Yu.B. Mel'nichenko, J. Chem. Phys. 107 (1997) 2292.
231. R. Richert, Phys. Rev. B 54 (1996) 15762.
232. G.L. Liu, Y.Z. Li, J. Jonas, J. Chem. Phys. 90 (1989) 5881.
233. J.P. Korb, A. Delville, S. Xu, G. Demeulenaere, P. Costa, J. Jonas, J. Chem. Phys. 101 (1994) 7074.
234. C.L. Jackson, G.B. McKenna, J. Non-Cryst. Solids 131-133 (1991) 221.
235. C. Schick, E. Donth, Phys. Scripta 43 (1991) 423.
236. C. Streck, Yu.B. Mel'nichenko, R. Richert, Phys. Rev. B 53 (1996) 5341.
237. C. Streck, X. Yan, R. Richert, Ber. Bunsenges. Phys. Chem. 101 (1997) 1735.
238. P. Harrowell, Phys. Rev. E 48 (1993) 4359.
239. R.D. Mountain, J. Chem. Phys. 102 (1995) 5408, and references therein.
240. R. Ahluwalia, S.P. Das, J. Non-Cryst. Solids 235-237 (1998) 115.
241. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
242. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
243. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
244. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
245. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
246. M. Hurley, P. Harrowell, Phys. Rev. E, 52 (1995) 1694; J. Chem. Phys. 105 (1996) 10521; 107 (1997) 8586; D.N. Perera, J. Phys.: Condens. Matter 10 (1998) 10115; D.N. Perera, P. Harrowell, Phys. Rev. Lett. 80 (1998) 4446; 81 (1998) 120.
247. R. Yamamoto, A. Onuki, J. Phys. Soc. Japan 66 (1997) 2545; Europhys.Lett. 40 (1997) 61; J. Non-Cryst. Solids 235-237 (1998) 34; Phys. Rev. Lett. 81 (1998) 4915.
248. R. Yamamoto, A. Onuki, J. Phys. Soc. Japan 66 (1997) 2545; Europhys.Lett. 40 (1997) 61; J. Non-Cryst. Solids 235-237 (1998) 34; Phys. Rev. Lett. 81 (1998) 4915.
249. R. Yamamoto, A. Onuki, J. Phys. Soc. Japan 66 (1997) 2545; Europhys.Lett. 40 (1997) 61; J. Non-Cryst. Solids 235-237 (1998) 34; Phys. Rev. Lett. 81 (1998) 4915.
250. R. Yamamoto, A. Onuki, J. Phys. Soc. Japan 66 (1997) 2545; Europhys.Lett. 40 (1997) 61; J. Non-Cryst. Solids 235-237 (1998) 34; Phys. Rev. Lett. 81 (1998) 4915.
251. W. Kob, C. Donati, S.J. Plimpton, P.H. Poole, S.C. Glotzer, Phys. Rev. Lett. 79 (1997) 2827.
252. C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole, S.C. Goltzer, Phys. Rev. Lett. 80 (1998) 2338. (A brief review of previous MD simulations exhibiting cooperative motion and other aspects of dynamical heterogeneity is also given in this reference.) Furthermore, we refer to reviews by P.H. Poole, Current Opinion Solid State Mater. Sci. 3 (1998) 391, and Y. Hiwatari, H. Myagawa, T. Odagaki, Solid State Ionics 47 (1991) 179 and to the recent work by Y. Hiwatari, J. Habasaki, T. Muranaka, J. Non-Cryst. Solids 235-237 (1998) 115.
253. C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole, S.C. Goltzer, Phys. Rev. Lett. 80 (1998) 2338. (A brief review of previous MD simulations exhibiting cooperative motion and other aspects of dynamical heterogeneity is also given in this reference.) Furthermore, we refer to reviews by P.H. Poole, Current Opinion Solid State Mater. Sci. 3 (1998) 391, and Y. Hiwatari, H. Myagawa, T. Odagaki, Solid State Ionics 47 (1991) 179 and to the recent work by Y. Hiwatari, J. Habasaki, T. Muranaka, J. Non-Cryst. Solids 235-237 (1998) 115.
254. C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole, S.C. Goltzer, Phys. Rev. Lett. 80 (1998) 2338. (A brief review of previous MD simulations exhibiting cooperative motion and other aspects of dynamical heterogeneity is also given in this reference.) Furthermore, we refer to reviews by P.H. Poole, Current Opinion Solid State Mater. Sci. 3 (1998) 391, and Y. Hiwatari, H. Myagawa, T. Odagaki, Solid State Ionics 47 (1991) 179 and to the recent work by Y. Hiwatari, J. Habasaki, T. Muranaka, J. Non-Cryst. Solids 235-237 (1998) 115.
255. C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole, S.C. Goltzer, Phys. Rev. Lett. 80 (1998) 2338. (A brief review of previous MD simulations exhibiting cooperative motion and other aspects of dynamical heterogeneity is also given in this reference.) Furthermore, we refer to reviews by P.H. Poole, Current Opinion Solid State Mater. Sci. 3 (1998) 391, and Y. Hiwatari, H. Myagawa, T. Odagaki, Solid State Ionics 47 (1991) 179 and to the recent work by Y. Hiwatari, J. Habasaki, T. Muranaka, J. Non-Cryst. Solids 235-237 (1998) 115.
256. W. Kob, H.C. Anderson, Phys. Rev. E 51 (1995) 4626; 52 (1995) 4134.
257. W. Kob, H.C. Anderson, Phys. Rev. E 51 (1995) 4626; 52 (1995) 4134.
258. L.J. Lewis, G. Wahnström, Phys. Rev. E 50 (1994) 3865.
259. S. Kämmer, W. Kob, R. Schilling, Phys. Rev. E 56 (1997) 5450.
260. K. Okun, M. Wolfgard, J. Baschnagel, K. Binder, Macromolecules 30 (1997) 3075.
261. K. Binder, J. Baschnagel, S. Böhmer, W. Paul, Philos. Mag. B 77 (1998) 591.
262. J. Baschnagel, K. Binder, J. Phys. (France) 16 (1996) 1271.
263. B. Doliwa, A. Heuer, Phys. Rev. Lett. 80 (1998) 4915.
264. E. Rössler, K.U. Hess, V.N. Novikov, J. Non-Cryst. Solids 223 (1998) 207.
265. A. van Blaaderen, P. Wiltzius, Science 270 (1995) 1177.
266. A. Kasper, S. Kirsch, F. Renth, E. Bartsch, H. Sillescu, Progr. Colloid Polym. Sci. 100 (1996) 151; A. Kasper, E. Bartsch, H. Sillescu, Langmuir, 14 (1998) 5504.
267. A. Kasper, S. Kirsch, F. Renth, E. Bartsch, H. Sillescu, Progr. Colloid Polym. Sci. 100 (1996) 151; A. Kasper, E. Bartsch, H. Sillescu, Langmuir, 14 (1998) 5504.