- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Mode-coupling theory and the glass transition in supercooled liquids

Shankar P. Das*

Shankar P. Das*

  • School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

  • *Electronic address: shankar@mail.jnu.ac.in
PDF

Rev. Mod. Phys. 76, 785 – Published 15 October, 2004

DOI: https://doi.org/10.1103/RevModPhys.76.785

Abstract

Mode-coupling theory is an approach to the study of complex behavior in the supercooled liquids which developed from the idea of a nonlinear feedback mechanism. From the coupling of slowly decaying correlation functions the theory predicts the existence of a characteristic temperature Tc above the experimental glass transition temperature Tg for the liquid. This article discusses the various methods used to obtain the model equations and illustrates the effects of structure on dynamics and scaling behavior over different time scales using a wave-vector-dependent model. It compares the theoretical predictions, experimental observations, and computer simulation results, and also considers phenomenological extensions of mode-coupling theory. Numerical solutions of the model equations to study the dynamics from a nonperturbative approach are also reviewed. The review looks briefly at recent observations from landscape studies of model systems of structural glasses and their relation to the mode-coupling temperature Tc. The equations for the mean-field dynamics driven by the p-spin interaction Hamiltonian are similar to those of mode-coupling theory for structural glasses. Related developments in the nonequilibrium dynamics and generalization of the fluctuation-dissipation relation for the structural glasses are briefly touched upon. The review ends with a summary of the open questions and possible future direction of the field.

View figure in article

Article Text

References (483)

  1. Abramowitz, M., and I. A. Stegun, 1965, Eds., Handbook of Mathematical Functions (Dover, New York).
  2. Adichtchev, S. V., St. Benkhof, Th. Blochowicz, V. N. Novikov, E. Rössler, Ch. Tschirwitz, and J. Wiedersich, 2002, Phys. Rev. Lett. 88, 055703.
  3. Ahluwalia, R., and S. P. Das, 1998, Phys. Rev. E 57, 5771.
  4. Ailawadi, N. K., A. Rahman, and R. Zwanzig, 1971, Phys. Rev. A 4, 1616.
  5. Akcasu, A. Z., and E. Daniels, 1970, Phys. Rev. A 2, 962.
  6. Alba-Simionesco, C., and M. Krauzman, 1995, J. Chem. Phys. 102, 6574.
  7. Alder, B. J. and T. E. Wainright, 1967, Phys. Rev. Lett.18, 988.
  8. Alder, B. J., and T. E. Wainright, 1970, Phys. Rev. A 1, 18.
  9. Allen, M. P., and D. J. Tildesley, 1987, Computer Simulation of Liquids (Clarendon, Oxford).
  10. Alley, W. E., B. J. Alder, and S. Yip, 1983, Phys. Rev. A 27, 3174.
  11. Amit, D., 1999, Field Theory, The Renormalization Group and Critical Phenomena, 2nd revised ed. (World Scientific, Singapore).
  12. Amit, D. J., and D. V. I. Roginsky, 1979, J. Phys. A 12, 689.
  13. Andersen, H. C., 2000, J. Math. Phys. 41, 1979.
  14. Angelani, L., R. Di Leonardo, G. Parisi, and G. Ruocco, 2001, Phys. Rev. Lett. 87, 0555021.
  15. Angelani, L., R. Di Leonardo, G. Ruocco, A. Scala, and F. Sciortino, 2000, Phys. Rev. Lett. 85, 5356.
  16. Angelani, L., R. G. Parisi, G. Ruocco, and G. Viliani, 1998, Phys. Rev. Lett. 81, 4648.
  17. Angell, C. A., 1984, in Relaxations in Complex Systems, edited by K. L. Ngai and G. B. Wright (National Technical Information Service, U.S. Department of Commerce, Springfield, VA), p. 1.
  18. Angell, C. A., J. H. R. Clarke, and L. V. Woodcock, 1981, Adv. Chem. Phys. 48, 397.
  19. Arnol’d, V. I., 1992, Catastrophe Theory, 3rd ed. (Springer, Berlin).
  20. Ashcroft, N. W., and C. David Langreth, 1967, Phys. Rev. 156, 685.
  21. Ashcroft, N. W., and J. Lekner, 1966, Phys. Rev. 145, 83.
  22. Bagchi, B., 1987a, Physica A 145, 273.
  23. Bagchi, B., 1987b, Phys. Lett. A 121, 29.
  24. Bagchi, B., and S. Bhattacharyya, 2001, Adv. Chem. Phys. 116, 67.
  25. Bagchi, B., and A. Chandra, 1990, Adv. Chem. Phys. 80, 1.
  26. Barker, J. A., and D. Henderson, 1976, Rev. Mod. Phys. 48, 587.
  27. Barrat, J-L., and M. L. Klein, 1991, Annu. Rev. Phys. Chem. 42, 23.
  28. Barrat, J-L., and W. Kob, 1999, J. Phys.: Condens. Matter 11, A247.
  29. Barrat, J-L., and A. Latz, 1990, J. Phys.: Condens. Matter 2, 4289.
  30. Bausch, R., H. Janssen, and H. Wagner, 1976, Z. Phys. B 24, 113.
  31. Belitz, D., and W. Schirmacher, 1983, J. Phys. C 16, 913.
  32. Bembenek, S. D., and B. B. Laird, 1995, Phys. Rev. Lett. 74, 936.
  33. Bengtzelius, U., W. Götze, and A. Sjölander, 1984, J. Phys. C 17, 5915.
  34. Bergenholtz, J., M. Fuchs, and T. Voigtmann, 2000, J. Phys.: Condens. Matter 12, 6575.
  35. Berne, B. J., and R. Pecora, 1976, Dynamic Light Scattering (Wiley Interscience, New York).
  36. Bernu, B., J. P. Hansen, Y. Hiwatari, and G. Pastore, 1987, Phys. Rev. A 36, 4891.
  37. Bernu, B., Y. Hiwatari, and J. P. Hansen, 1985, J. Phys. C 18, L371.
  38. Bhattacharjee, J. K., 1996, Europhys. Lett. 34, 525.
  39. Bhattacharya, K. K., K. Broderix, R. Kree, and A. Zippelius, 1999, Europhys. Lett. 47, 449.
  40. Binder, K., and A. P. Young, 1986, Rev. Mod. Phys. 58, 801.
  41. Birge, N. O., and S. R. Nagel, 1985, Phys. Rev. Lett. 54, 2674.
  42. Biroli, G. 1999, J. Phys. A 32, 8365.
  43. Bodeaux, D., and P. Mazur, 1973, Phys. Lett.43A, 401.
  44. Böhmer, R., M. Maglione, P. Lunkenheimer, and A. Loidl, 1989, J. Appl. Phys. 65, 901.
  45. Böhmer, R., K. L. Ngai, C. A. Angell, and D. J. Plazek, 1993, J. Chem. Phys. 99, 4201.
  46. Boon, J., and S. Yip, 1991, Molecular Hydrodynamics (Dover, New York).
  47. Börjesson, L., M. Elmroth, and L. M. Torell, 1990, Chem. Phys. 149, 209.
  48. Bosse, J., and J. S. Thakur, 1987, Phys. Rev. Lett. 59, 998.
  49. Bouchaud, J-P., and D. S. Dean, 1995, J. Phys. I 5, 265.
  50. Bouchaud, J-P., L. F. Cugliandolo, J. Kurchan, and M. Mézard, 1996, Physica A 226, 243.
  51. Bouchaud, J-P., L. F. Cugliandolo, J. Kurchan, and M. Mézard, 1997, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore), p. 161.
  52. Bouchaud, J-P., and M. Mézard, 1994, J. Phys. I 4, 1109.
  53. Bray, A., 1974, Phys. Rev. Lett. 32, 1413.
  54. Broderix, K., K. K. Bhattacharya, A. Cavagna, A. Zippelius, and I. Giardina, 2000, Phys. Rev. Lett. 85, 5360.
  55. Brodin, A., L. Börjesson, D. Engberg, L. M. Torell, and A. P. Sokolov, 1996, Phys. Rev. B 53, 11 511.
  56. Brodin, A., M. Frank, S. Wiebel, G. Shen, J. Wuttke, and H. Z. Cummins, 2002, Phys. Rev. E 65, 051503.
  57. Buchner, S., and A. Heuer, 1999, Phys. Rev. E 60, 6507.
  58. Carnahan, N. F., and K. E. Starling, 1969, J. Chem. Phys. 51, 635.
  59. Carr, H. Y., and E. M. Purcell, 1954, Phys. Rev. 94, 630.
  60. Cavagna, A., I. Giardina, and G. Parisi, 1998, Phys. Rev. B 57, 11 251.
  61. Chamberlin, R. V., 1999, Phys. Rev. Lett. 82, 2520.
  62. Chandra, P., M. V. Feigel’man, and L. B. Ioffe, 1996, Phys. Rev. Lett. 76, 4805.
  63. Chandra, P., L. B. Ioffe, and D. Sherrington, 1995, Phys. Rev. Lett. 75, 713.
  64. Chapmann, S., and T. G. Cowling, 1970, The Mathematical Theory of Non-Uniform Gases (Cambridge University, Cambridge, England).
  65. Chen, S-H., W-R. Chen, and F. Mallamace, 2003, Science 300, 619.
  66. Chong, S.-H., and M. Fuchs, 2002, Phys. Rev. Lett. 88, 185702.
  67. Chong, S.-H., and W. Götze, 2002a, Phys. Rev. E 65, 041503.
  68. Chong, S.-H., and W. Götze, 2002b, Phys. Rev. E 65, 051201.
  69. Chong, S.-H., W. Götze, and A. P. Singh, 2001, Phys. Rev. E 63, 011206.
  70. Chong, S.-H., and F. Hirata, 1998, Phys. Rev. E 58, 6188.
  71. Chung, C. H., and S. Yip, 1969, Phys. Rev. 182, 323.
  72. Cohen, C., P. D. Fleming, and J. H. Gibbs, 1976, Phys. Rev. B 13, 866.
  73. Cohen, M. H., and G. S. Grest, 1979, Phys. Rev. B 20, 1077.
  74. Cole, K. S., and R. H. Cole, 1941, J. Chem. Phys. 9, 341.
  75. Coluzzi, B., G. Parisi, and P. Verrocchio, 2000, Phys. Rev. Lett. 84, 306.
  76. Crisanti, A.H. Horner, and H. J. Sommers, 1993, Z. Phys. B: Condens. Matter 92, 257.
  77. Crisanti, A., and H. J. Sommers, 1992, Z. Phys. B: Condens. Matter 87, 341.
  78. Cugliandolo, L. F., 2003, in Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter, Session LXXVII, 2002 of Les Houches Summer Schools of Theoretical Physics, edited by J-L. Barrat, M. Feigel’man, J. Kurchan, and J. Dalibard (Springer, Berlin), p. 371.
  79. Cugliandolo, L. F., and J. Kurchan, 1993, Phys. Rev. Lett. 71, 173.
  80. Cugliandolo, L. F., J. Kurchan, R. Monasson, and G. Parisi, 1996, J. Phys. A 29, 1347.
  81. Cugliandolo, L. F., J. Kurchan, G. Parisi, and F. Ritort, 1995, Phys. Rev. Lett. 74, 1012.
  82. Cugliandolo, L. F., J. Kurchan, and L. Pelti, 1997, Phys. Rev. E 55, 3898.
  83. Cugliandolo, L. F., and P. Le Doussal, 1996, Phys. Rev. E 53, 1525.
  84. Cummins, H. Z., W. M. Du, M. Fuchs, W. Götze, S. Hildebrand, A. Latz, G. Li, and N. J. Tao, 1993, Phys. Rev. E 47, 4223.
  85. Cummins, H. Z., G. Li, W. M. Du, Y. H. Hwang, and G. Q. Shen, 1997, Prog. Theor. Phys. Suppl. 126, 21.
  86. Curkier, R. I., and J. R. Mehaffey, 1978, Phys. Rev. A 18, 1202.
  87. Das, S. P., 1987, Phys. Rev. A 36, 211.
  88. Das, S. P., 1990, Phys. Rev. A 42, 6116.
  89. Das, S. P., 1993, J. Chem. Phys. 98, 3328.
  90. Das, S. P., 1996, Phys. Rev. E 54, 1715.
  91. Das, S. P., 1999, Phys. Rev. E 59, 3870.
  92. Das, S. P., 2000, Phys. Rev. E 62, 1670.
  93. Das, S. P., and J. W. Dufty, 1992, Phys. Rev. A 46, 6371.
  94. Das, S. P., and G. F. Mazenko, 1986, Phys. Rev. A 34, 2265.
  95. Das, S. P., G. F. Mazenko, S. Ramaswamy, and J. Toner, 1985a, Phys. Rev. A 32, 3139.
  96. Das, S. P., G. F. Mazenko, S. Ramaswamy, and J. Toner, 1985b, Phys. Rev. Lett. 54, 118.
  97. Das, S. P., and R. Schilling, 1994, Phys. Rev. E 50, 1265.
  98. Dasgupta, C., 1992, Europhys. Lett. 20, 131.
  99. Dasgupta, C., and O. T. Valls, 1994, Phys. Rev. E 50, 3916.
  100. Dasgupta, C., and O. T. Valls, 1996, Phys. Rev. E 53, 2603.
  101. Dasgupta, C., and O. T. Valls, 1999, Phys. Rev. E 59, 3123.
  102. Dasgupta, C., and O. T. Valls, 2003, Phys. Rev. E 67, 063501.
  103. Dattagupta, S., and L. A. Turski, 1985, Phys. Rev. Lett. 54, 2399.
  104. Dattagupta, S., and L. A. Turski, 1993, Phys. Rev. E 47, 1222.
  105. Davidson, D. W., and R. H. Cole, 1951, J. Chem. Phys. 19, 1484.
  106. Dawson, K., G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, Th. Voigtmann, and E. Zaccarelli, 2001, Phys. Rev. E 63, 011401.
  107. De, P., R. Pelcovits, E. Vogel, and J. Vogel, 1993, Phys. Rev. E 47, 1824.
  108. de Dominicis, C., 1978, Phys. Rev. B 18, 4913.
  109. de Dominicis, C., and L. Pelti, 1978, Phys. Rev. B 18, 353.
  110. de Gennes, P. G., 1959, Physica (Amsterdam) 25, 825.
  111. Deker, U., 1979, Phys. Rev. A 19, 846.
  112. Deker, U., and F. Haake, 1975, Phys. Rev. A 11, 2043.
  113. Dendzik, Z., M. Paluch, Z. Gburski, and J. Ziolo, 1997, J. Phys.: Condens. Matter 9, L339.
  114. Denny, R. A., D. R. Reichman, and J.-P. Bouchaud, 2003, Phys. Rev. Lett. 90, 0255031.
  115. de Schepper, I., and E. G. D. Cohen, 1980, Phys. Rev. A 22, 287.
  116. de Schepper, I., and E. G. D. Cohen, 1982, J. Stat. Phys. 27, 223.
  117. de Schepper, I., A. F. E. M. Haffmans, and H. van Beijeren, 1986, Phys. Rev. Lett. 57, 1715.
  118. Di Leonardo, R., L. Angelani, G. Parisi, and G. Ruocco, 2000, Phys. Rev. Lett. 84, 6054.
  119. Dixon, P. K., N. Menon, and S. R. Nagel, 1994, Phys. Rev. E 50, 1717.
  120. Dixon, P. K., and S. R. Nagel, 1988, Phys. Rev. Lett. 61, 341.
  121. Dixon, P. K., L. Wu, S. R. Nagel, B. D. Williams, and J. P. Carini, 1990, Phys. Rev. Lett. 65, 1108.
  122. Doliwa, B., and A. Heuer, 2003, Phys. Rev. E 67, 031506.
  123. Donati, C., J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, 1998, Phys. Rev. Lett. 80, 2338.
  124. Donati, C., S. C. Glotzer, and P. H. Poole, 1999, Phys. Rev. Lett. 82, 5064.
  125. Donati, C., F. Sciortino, and P. Tartaglia, 2000, Phys. Rev. Lett. 85, 1464.
  126. Dorfman, J. R., and E. G. D. Cohen, 1972, Phys. Rev. A 6, 776.
  127. Dorfman, J. R., and E. G. D. Cohen, 1975, Phys. Rev. A 12, 292.
  128. Drossel, B., H. Bokil, and M. A. Moore, 2000, Phys. Rev. E 62, 7690.
  129. Du, W. M., G. Li, H. Z. Cummins, M. Fuchs, J. Toulouse, and L. A. Knauss, 1994, Phys. Rev. E 49, 2192.
  130. Due, D., and A. D. J. Haymet, 1995, J. Chem. Phys. 103, 2625.
  131. Due, D., and D. Henderson, 1996, J. Chem. Phys. 104, 6742.
  132. Dzyaloshinskii, I. E., and G. E. Volovick, 1980, Ann. Phys. (N.Y.) 125, 67.
  133. Eckert, T., and E. Bartsch, 2002, Phys. Rev. Lett. 89, 125701.
  134. Ediger, M. D., C. A. Angell, and S. R. Nagel, 1996, J. Phys. Chem. 100, 13200.
  135. Edwards, S. F., 1964, J. Fluid Mech. 18, 239.
  136. Elmroth, M., L. Börjesson, and L. M. Torell, 1992, Phys. Rev. Lett. 68, 79.
  137. Engberg, D. A., A. Wischnewski, U. Buchenau, L. Börjesson, A. J. Dianoux, A. P. Sokolov, and L. M. Torell, 1998, Phys. Rev. B 58, 9087.
  138. Ernst, M. H., and J. R. Dorfman, 1976, J. Stat. Phys. 12, 311.
  139. Ernst, M. H., L. K. Haines, and J. R. Dorfman, 1969, Rev. Mod. Phys. 41, 296.
  140. Ernst, M. H., E. H. Hauge, and J. M. J. van Leeuwen, 1971, Phys. Rev. A 4, 2055.
  141. Ernst, M. H., E. H. Hauge, and J. M. J. van Leeuwen, 1976, J. Stat. Phys. 15, 23.
  142. Erpenbeck, J. J., and W. W. Wood, 1981, J. Stat. Phys. 24, 455.
  143. Evans, D. J. 1980, J. Stat. Phys. 22, 81.
  144. Eyink, G. L., 1994, Phys. Rev. E 49, 3990.
  145. Fabbian, L., W. Götze, F. Sciortino, P. Tartaglia, and F. Thiery, 1999, Phys. Rev. E 59, R1347; 1999, 60, 2430(E).
  146. Fabbian, L., A. Latz, R. Schilling, F. Sciortino, P. Tartaglia, and C. Theis, 1999, Phys. Rev. E 60, 5768.
  147. Fischer, E. W., 1993, Physica A 201, 183.
  148. Fischer, K. H., and J. A. Hertz, 1991, Spin Glasses (Cambridge University, Cambridge, England).
  149. Fixman, M. 1962, J. Chem. Phys. 36, 310.
  150. Fleming, P. D., III, and C. Cohen, 1976, Phys. Rev. B 13, 500.
  151. Foffi, G., W. Götze, F. Sciortino, P. Tartagila, and Th. Voigtmann, 2003, Phys. Rev. Lett. 91, 085701.
  152. Foffi, G., F. Sciortino, E. Zaccarelli, F. Lo Verso, L. Reatto, K. A. Dawson, and C. N. Likos, 2003, Phys. Rev. Lett. 90, 238301.
  153. Forster, D., 1975, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (Benjamin, Reading, MA).
  154. Forster, D., D. R. Nelson, and M. Stephen, 1977, Phys. Rev. A 16, 732.
  155. Franosch, T., M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, 1997a, Phys. Rev. E 56, 5659.
  156. Franosch, T., M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, 1997b, Phys. Rev. E 57, 5833.
  157. Franz, S., and J. Hertz, 1995, Phys. Rev. Lett. 74, 2114.
  158. Franz, S., and M. Mézard, 1994a, Physica A 209, 1.
  159. Franz, S., and M. Mézard, 1994b, Europhys. Lett.26, 209.
  160. Franz, S., M. Mézard, G. Parisi, and L. Pelti, 1998, Phys. Rev. Lett. 81, 1758.
  161. Franz, S., and G. Parisi, 1997, Phys. Rev. Lett. 79, 2486.
  162. Franz, S., and M. A. Virasoro, 2000, J. Phys. A 33, 891.
  163. Frick, B., B. Farago, and D. Richter, 1990, Phys. Rev. Lett. 64, 2921.
  164. Frick, B., and D. Richter, 1993, Phys. Rev. B 47, 14 795.
  165. Fuchizaki, K., and K. Kawasaki, 1998a, J. Phys. Soc. Jpn. 67, 1505.
  166. Fuchizaki, K., and K. Kawasaki, 1998b, J. Phys. Soc. Jpn. 67, 2158.
  167. Fuchizaki, K., and K. Kawasaki, 1999, Physica A 266, 400.
  168. Fuchizaki, K., and K. Kawasaki, 2002, J. Phys.: Condens. Matter 14, 12203.
  169. Fuchs, M., and M. E. Cates, 2002, Phys. Rev. Lett. 89, 248304.
  170. Fuchs, M., W. Götze, S. Hildebrand, and A. Latz, 1992, Z. Phys. B: Condens. Matter 87, 43.
  171. Fuchs, M., W. Götze, S. Hofacker, and A. Latz, 1991, J. Phys.: Condens. Matter 3, 5047.
  172. Fuchs, M., W. Götze, and M. R. Mayr, 1998, Phys. Rev. E 58, 3384.
  173. Fuchs, M., I. Hofacker, and A. Latz, 1992, Phys. Rev. A 45, 898.
  174. Fuchs, M., and A. Latz, 1993, Physica A 201, 1.
  175. Gallo, P., F. Sciortino, P. Tartaglia, and S.-H. Chen, 1996, Phys. Rev. Lett. 76, 2730.
  176. Gezelter, J. D., E. Rabani, and B. J. Berne, 1997, J. Chem. Phys. 107, 4618.
  177. Geszti, T. 1983, J. Phys. C 16, 5805.
  178. Glauber, R. 1963, J. Math. Phys. 4, 294.
  179. Gleim, T., W. Kob, and K. Binder, 1998, Phys. Rev. Lett. 81, 4404.
  180. Goldstein, M., 1969, J. Chem. Phys. 51, 3728.
  181. Götze, W. 1985, Z. Phys. B: Condens. Matter 60, 195.
  182. Götze, W., 1991, in Liquids, Freezing and the Glass Transition, Proceedings of the Les Houches Summer School, Course LI, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (Elsevier, New York), p. 287.
  183. Götze, W., 1999, J. Phys.: Condens. Matter 11, A1.
  184. Götze, W., and R. Haussmann, 1988, Z. Phys. B: Condens. Matter 72, 403.
  185. Götze, W., and A. Latz, 1989, J. Phys.: Condens. Matter 1, 4169.
  186. Götze, W., E. Leutheusser, and S. Yip, 1981a, Phys. Rev. A 23, 2634.
  187. Götze, W., E. Leutheusser, and S. Yip, 1981b, Phys. Rev. A 24, 1008.
  188. Götze, W., and M. Lücke, 1975, Phys. Rev. A 11, 2173.
  189. Götze, W., and M. R. Mayr, 2000, Phys. Rev. E 61, 587.
  190. Götze, W., and L. Sjögren, 1987, Z. Phys. B: Condens. Matter 65, 415.
  191. Götze, W., and L. Sjögren, 1992, Rep. Prog. Phys. 55, 241.
  192. Götze, W., and L. Sjögren, 1995, Transp. Theory Stat. Phys. 24, 801.
  193. Götze, W., and L. Sjögren, 1996, Chem. Phys. 212, 47.
  194. Götze, W., and M. Sperl, 2002, Phys. Rev. E 66, 011405.
  195. Götze, W., and T. Voigtmann, 2000, Phys. Rev. E 61, 4133.
  196. Götze, W., and T. Voigtmann, 2003, Phys. Rev. E 67, 021502.
  197. Grant, M., and J. D. Gunton, 1985, Phys. Rev. B 32, 7299.
  198. Gray, C. G., and K. E. Gubbins, 1984, Theory of Molecular Liquid (Clarendon, Oxford), Vol. 1.
  199. Grest, G. S., and M. H. Cohen, 1981, Adv. Chem. Phys. 48, 455.
  200. Grigera, S., A. Cavagna, I. Giardina, and G. Parisi, 2002, Phys. Rev. Lett. 88, 055502.
  201. Grimsditch, M., R. Bhadra, and L. M. Torell, 1989, Phys. Rev. Lett. 62, 2616.
  202. Halalay, I. C., Y. Yang, and K. A. Nelson, 1994, J. Non-Cryst. Solids 172-174, 175.
  203. Hansen, J-P., and J. R. McDonald, 1986, Theory of Simple Liquids, 2nd ed. (Academic, London).
  204. Harbola, U., and S. P. Das, 2001, Phys. Rev. E 64, 046122.
  205. Harbola, U., and S. P. Das, 2002, Phys. Rev. E 65, 036138.
  206. Harbola, U., and S. P. Das, 2003a, Int. J. Mod. Phys. B 17, 2395.
  207. Harbola, U., and S. P. Das, 2003b, J. Stat. Phys. 112, 1131.
  208. Henderson, D., and E. W. Grundke, 1975, J. Chem. Phys. 63, 601.
  209. Hinze, G., D. D. Brace, S. D. Gottke, and M. D. Fayer, 2000, Phys. Rev. Lett. 84, 2437.
  210. Hohenberg, P. C., and B. I. Halperin, 1977, Rev. Mod. Phys. 49, 435.
  211. Hoover, W. G., and F. H. Ree, 1968, J. Chem. Phys. 49, 3609.
  212. Janssen, H. J., 1976, Z. Phys. B 23, 377.
  213. Janssen, H. J., 1979, in Dynamical Critical Phenomena an Related Topics, edited by C. P. Enz (Springer-Verlag, New York), p. 26.
  214. Jensen, R. V., 1981, J. Stat. Phys. 25, 183.
  215. Jeong, Y. H., 1987, Phys. Rev. A 36, 766.
  216. Jeong, Y. H., S. R. Nagel, and S. Bhattacharya, 1986, Phys. Rev. A 34, 602.
  217. Jonsson, H., and H. C. Anderson, 1988, Phys. Rev. Lett. 60, 2295.
  218. Kadanoff, L. P., and P. C. Martin, 1963, Ann. Phys. (N.Y.) 24, 419.
  219. Kadanoff, L. P., and J. Swift, 1968, Phys. Rev. 166, 89.
  220. Kämmerer, S., W. Kob, and R. Schilling, 1997, Phys. Rev. E 56, 5450.
  221. Kämmerer, S., W. Kob, and R. Schilling, 1998a, Phys. Rev. E 58, 2131.
  222. Kämmerer, S., W. Kob, and R. Schilling, 1998b, Phys. Rev. E 58, 2141.
  223. Kanaya, T., T. Kawaguchi, and K. Kaji, 1994, J. Non-Cryst. Solids 172-174, 327.
  224. Kartini, E., M. F. Collins, B. Collier, F. Mezei, and E. C. Svensson, 1996, Phys. Rev. B 54, 6292.
  225. Kaur, C., and S. P. Das, 2001, Phys. Rev. Lett. 86, 2062.
  226. Kaur, C., and S. P. Das, 2002, Phys. Rev. Lett. 89, 085701.
  227. Kaur, C., and S. P. Das, 2003a, Phys. Rev. E 67, 051505.
  228. Kaur, C., and S. P. Das, 2003b, J. Phys.: Condens. Matter 15, 4657.
  229. Kawasaki, K., 1966a, Phys. Rev. 145, 224.
  230. Kawasaki, K., 1966b, Phys. Rev. 150, 291.
  231. Kawasaki, K., 1970a, Phys. Lett. 32A, 379.
  232. Kawasaki, K., 1970b, Ann. Phys. (N.Y.) 61, 1.
  233. Kawasaki, K., 1971, Phys. Lett. 34A, 12.
  234. Kawasaki, K., 1994, Physica A 208, 35.
  235. Kawasaki, K., 1995, Transp. Theory Stat. Phys. 24, 755.
  236. Kawasaki, K., 1997, Physica A 243, 25.
  237. Kawasaki, K., 1998, J. Stat. Phys. 93, 527.
  238. Kawasaki, K., and K. Fuchizaki, 1998, J. Non-Cryst. Solids 235, 57.
  239. Kawasaki, K., and Bongsoo Kim, 2001, Phys. Rev. Lett. 86, 3582.
  240. Kawasaki, K., and Bongsoo Kim, 2002, J. Phys. C14, 2265.
  241. Kawasaki, K., and S. Miyazima, 1997, Z. Phys. B: Condens. Matter 103, 423.
  242. Kawasaki, K., and I. Oppenheim, 1965, Phys. Rev.139, A1763.
  243. Keyes, T., 1997, J. Phys. Chem. A 101, 2921.
  244. Keyes, T., 2000, Phys. Rev. E 62, 7905.
  245. Kim, B., and A. Latz, 2001, Europhys. Lett. 53, 660.
  246. Kim, B., and G. F. Mazenko, 1990, Adv. Chem. Phys. 78, 129.
  247. Kim, B., and G. F. Mazenko, 1991, J. Stat. Phys. 64, 631.
  248. Kim, B., and G. F. Mazenko, 1992, Phys. Rev. A 45, 2393.
  249. Kim, Bongsoo, 1992, Phys. Rev. A 46, 1992.
  250. Kim, Bongsoo, and K. Kawasaki, 2002, J. Phys.: Condens. Matter 14, 1627.
  251. Kim, K., and T. Munakata, 2003, Phys. Rev. E 68, 021502.
  252. Kirkpatrick, T. R., 1984, Phys. Rev. Lett. 53, 1735.
  253. Kirkpatrick, T. R., 1985a, Phys. Rev. A 31, 939.
  254. Kirkpatrick, T. R., 1985b, Phys. Rev. A 32, 3130.
  255. Kirkpatrick, T. R., S. P. Das, M. H. Ernst, and J. Piasecki, 1990, J. Chem. Phys. 92, 3768.
  256. Kirkpatrick, T. R., and J. C. Nieuwoudt, 1986a, Phys. Rev. A 33, 2651.
  257. Kirkpatrick, T. R., and J. C. Nieuwoudt, 1986b, Phys. Rev. A 33, 2658.
  258. Kirkpatrick, T. R., and D. Thirumalai, 1987a, Phys. Rev. Lett. 58, 2091.
  259. Kirkpatrick, T. R., and D. Thirumalai, 1987b, Phys. Rev. B 36, 5388.
  260. Kirkpatrick, T. R., and D. Thirumalai, 1989, J. Phys. A 22, L149.
  261. Kirkpatrick, T. R., and P. G. Wolynes, 1987, Phys. Rev. B 35, 3072.
  262. Kob, W., 2003, in Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter, Session LXXVII, 2002 of Les Houches Summer Schools of Theoretical Physics, edited by J-L. Barrat, M. Feigelman, J. Kurchan, and J. Dalibard (Springer, Berlin), p. 199.
  263. Kob, W., and H. C. Andersen, 1994, Phys. Rev. Lett. 73, 1376.
  264. Kob, W., and H. C. Andersen, 1995a, Phys. Rev. E 51, 4626.
  265. Kob, W., and H. C. Andersen, 1995b, Phys. Rev. E 52, 4134.
  266. Kob, W., and J.-L. Barrat, 1997, Phys. Rev. Lett. 79, 3660.
  267. Kob, W., and J.-L. Barrat, 1999, Europhys. Lett. 46, 637.
  268. Kob, W., and J.-L. Barrat, 2000, Eur. Phys. J. B 13, 319.
  269. Kob, W., C. Donati, S. Plimpton, P. H. Poole, and S. C. Glotzer, 1997, Phys. Rev. Lett. 79, 2827.
  270. Kob, W., M. Nauroth, and F. Sciortino, 2002, J. Non-Cryst. Solids 307-310, 181.
  271. Kob, W., F. Sciortino, and P. Tartaglia, 2000, Europhys. Lett. 49, 590.
  272. Kojima, S., and V. N. Novikov, 1996, Phys. Rev. B 54, 222.
  273. Kraichnan, R., 1959a, J. Fluid Mech. 5, 32.
  274. Kraichnan, R., 1959b, J. Fluid Mech. 5, 497.
  275. Kraichnan, R., 1961a, J. Math. Phys. 2, 124.
  276. Kraichnan, R. 1961b, J. Fluid Mech. 7, 124.
  277. Kraichnan, R., and S. Chen, 1989, Physica D 37, 160.
  278. Kree, R., L. A. Turski, and A. Zippelius, 1987, Phys. Rev. Lett. 58, 1656.
  279. Krieger, U., and J. Bosse, 1987, Phys. Rev. Lett. 59 1601.
  280. Kühn, R., and U. Horstmann, 1997, Phys. Rev. Lett. 78, 4067.
  281. Landau, L. D., and E. M. Lifshitz, 1963, Fluid Mechanics (Pergamon, London).
  282. Langer, J. S., 1967, Ann. Phys. (N.Y.) 41, 108.
  283. Langer, J. S., 1969, Ann. Phys. (N.Y.) 54, 258.
  284. Langer, J. S., 1992, in Solids Far from Equilibrium, edited by C. Godréche (Cambridge University, Cambridge, England), p. 297.
  285. Langer, J. S., and L. Turski, 1973, Phys. Rev. A 8, 3230.
  286. Latz, A., 2000, J. Phys.: Condens. Matter 12, 6353.
  287. Latz, A., and M. Letz, 2001, Eur. Phys. J. B 19, 323.
  288. Latz, A., and R. Schmitz, 1996, Phys. Rev. E 53, 2624.
  289. Lebowitz, J. L., 1964, Phys. Rev. 133, A895.
  290. Leslie-Pelecky, D. L., and N. O. Birge, 1994, Phys. Rev. Lett. 72, 1232.
  291. Leutheusser, E., 1984, Phys. Rev. A 29, 2765.
  292. Levine, H. B., and G. Birnbaum, 1968, Phys. Rev. Lett. 20, 439.
  293. Li, G., W. M. Du, X. K. Chen, H. Z. Cummins, and N. J. Tao, 1992a, Phys. Rev. A 45, 3867.
  294. Li, G., W. M. Du, J. Hernandez, and H. Z. Cummins, 1993, Phys. Rev. E 48, 1192.
  295. Li, G., W. M. Du, A. Sakai, and H. Z. Cummins, 1992b, Phys. Rev. A 46, 3343.
  296. Li, W., and T. Keyes, 1999, J. Chem. Phys. 111, 5503.
  297. Liu, C. Z., and I. Oppenheim, 1997, Physica A 235, 369.
  298. Lovesey, S. W., 1984, Theory of Neutron Scattering from Condensed Matter (Clarendon, Oxford).
  299. Löwen, H., J.-P. Hansen, and J.-N Roux, 1991, Phys. Rev. A 44, 1169.
  300. Lunkenheimer, P., A. Pimenov, M. Dressel, G. Yu Goncharov, R. Böhmer, and A. Loidl, 1996, Phys. Rev. Lett. 77, 318.
  301. Lunkenheimer, P., A. Pimenov, M. Dressel, B. Schiener, U. Schneider, and A. Loidl, 1997, Prog. Theor. Phys. Suppl. 126, 123.
  302. Lunkenheimer, P., A. Pimenov, and A. Loidl, 1997, Phys. Rev. Lett. 78, 2995.
  303. Lundgren, L., P. Svedlindh, P. Norblad, and O. Beckman, 1983, Phys. Rev. Lett. 51, 911.
  304. Lust, L. M., O. T. Valls, and C. Dasgupta, 1993, Phys. Rev. E 48, 1787.
  305. Lutsko, J. F., J. W. Dufty, and S. P. Das, 1989, Phys. Rev. A 39, 1311.
  306. Ma, J., D. V. Bout, and M. Berg, 1996, Phys. Rev. E 54, 2786.
  307. Ma, S. K., 1976, Modern Theory of Critical Phenomena (Benjamin, New York).
  308. Ma, S. K., and G. F. Mazenko, 1975, Phys. Rev. B 11, 4077.
  309. Ma, S. K., and J. Rudnick, 1978, Phys. Rev. Lett. 40, 589.
  310. Madan, B., and T. Keyes, 1993, J. Chem. Phys. 98, 3342.
  311. Madden, P., and D. Kivelson, 1984, Adv. Chem. Phys. 56, 467.
  312. Mallamace, F., P. Gambadauro, N. Micali, P. Tartaglia, C. Liao, and S.-H. Chen, 2000, Phys. Rev. Lett. 84, 5431.
  313. Manno, M., and I. Oppenheim, 1999, Physica A 265, 520.
  314. Marchetti, M. C., 1986, Phys. Rev. A 33, 3363.
  315. Marconi, U. M. B., and P. Tarazona, 1999, J. Chem. Phys. 110, 8032.
  316. Marconi., U. M. B., and P. Tarazona, 2000, J. Phys.: Condens. Matter 12, A413.
  317. Marinari, E., G. Parisi, and F. Ritort, 1994a, J. Phys. A 27, 7615.
  318. Marinari, E., G. Parisi, and F. Ritort, 1994b, J. Phys. A 27, 7647.
  319. Martin, P. C., O. Parodi, and P. S. Pershan, 1972, Phys. Rev. A 6, 2401.
  320. Martin, P. C., E. D. Siggia, and H. A. Rose, 1973, Phys. Rev. A 8, 423.
  321. Mazenko, G. F., 1973a, Phys. Rev. A 7, 209.
  322. Mazenko, G. F., 1973b, Phys. Rev. A 7, 222.
  323. Mazenko, G. F., 1974, Phys. Rev. A 9, 360.
  324. Mazenko, G. F., S. Ramaswamy, and John Toner, 1983, Phys. Rev. A 28, 1618.
  325. Mazenko, G. F., and J. Yeo, 1994, J. Stat. Phys. 74, 1017.
  326. Mazenko, G. F., and S. Yip, 1977, in Statistical Mechanics: Part B, Time Dependent Processes, edited by B. J. Berne (Plenum, New York), pp. 181–231.
  327. McComb, W. D., 1990, The Physics of Fluid Turbulence (Oxford Science, Oxford).
  328. Menon, N., and S. R. Nagel, 1993, Phys. Rev. Lett. 71, 4095.
  329. Menon, N., and S. R. Nagel, 1995, Phys. Rev. Lett. 74, 1230.
  330. Menon, N., S. R. Nagel, and D. C. Venerus, 1994, Phys. Rev. Lett. 73, 963.
  331. Menon, N., K. P. O’Brien, P. K. Dixon, L. Wu, S. R. Nagel, B. D. Williams, and J. P. Carini, 1992, J. Non-Cryst. Solids 141, 61.
  332. Mézard, M., 1999, Physica A 265, 352.
  333. Mézard, M., and G. Parisi, 1999a, J. Chem. Phys. 111, 1076.
  334. Mézard, M., and G. Parisi, 1999b, Phys. Rev. Lett. 82, 747.
  335. Mézard, M., and G. Parisi, 2000, J. Phys.: Condens. Matter 12, 6655.
  336. Mézard, M., G. Parisi, and M. A. Virasoro, 1987, Spin Glass Theory and Beyond, Lecture Notes in Physics Vol. 9 (World Scientific, Singapore).
  337. Mezei, F., 1980, Ed., Neutron Spin Echo: Proceedings (Springer, Heidelberg/New York).
  338. Mezei, F., 1989, in Dynamics of Disordered Materials, edited by D. Richter, A. J. Dianoux, W. Petry, and J. Teixeira (Springer Verlag, Berlin, 1989), p. 164.
  339. Mezei, F., W. Knaak, and B. Farago, 1987, Phys. Rev. Lett. 58, 571.
  340. Mezei, F., and M. Russina, 1999, J. Phys.: Condens. Matter 11, A341.
  341. Miyazaki, K., and D. R. Reichman, 2002, Phys. Rev. E 66, 0505011.
  342. Moore, M. A., and B. Drossel, 2002, Phys. Rev. Lett. 89, 217202.
  343. Mopsik, F. I., 1984, Rev. Sci. Instrum. 55, 79.
  344. Mori, H., 1965a, Prog. Theor. Phys. 33, 423.
  345. Mori, H., 1965b, Prog. Theor. Phys. 34, 399.
  346. Morkel, Chr., Chr. Gronemeyer, W. Gläser, and J. Bosse, 1987, Phys. Rev. Lett. 58, 1873.
  347. Mountain, R. D., 1997, J. Chem. Phys. 102, 5408.
  348. Munakata, T., 1978, J. Phys. Soc. Jpn. 45, 749.
  349. Munakata, T., 1989, J. Phys. Soc. Jpn. 58, 2434.
  350. Munakata, T., 1990, J. Phys. Soc. Jpn. 59, 1299.
  351. Munakata, T., and A. Igarashi, 1977, Prog. Theor. Phys. 58, 1345.
  352. Munakata, T., and A. Igarashi, 1978, Prog. Theor. Phys. 60, 45.
  353. Mydosh, J. A., 1993, Spin-Glasses: An Experimental Introduction (Taylor & Francis, London).
  354. Nauroth, M., and W. Kob, 1997, Phys. Rev. E 55, 657.
  355. Nielsen, J. K., and J. C. Dyre, 1996, Phys. Rev. B 54, 15 754.
  356. Norblad, P., P. Svedlindh, L. Lundgren, and L. Sandlund, 1986, Phys. Rev. B 33, 645.
  357. Odagaki, T., 1995, Phys. Rev. Lett. 75, 3701.
  358. Odagaki, T., and Y. Hiwatari, 1990, Phys. Rev. A 41, 929.
  359. Odagaki, T., T. Yoshidome, T. Tao, and A. Yoshimori, 2002, J. Chem. Phys. 117, 10151.
  360. Odagaki, T., and A. Yoshimori, 2000, J. Phys.: Condens. Matter 12, 6509.
  361. Onsager, L., 1931a, Phys. Rev. 37, 405.
  362. Onsager, L., 1931b, Phys. Rev. 38, 2265.
  363. Oxtoby, D. W., 1986, J. Chem. Phys. 85, 1549.
  364. Oxtoby, D. W., 1991, in Liquids, Freezing and the Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (Elsevier, New York), p. 145.
  365. Parisi, G., 1997, Phys. Rev. Lett. 79, 3660.
  366. Parisi, G., M. Picco, and F. Ritort, 1999, Phys. Rev. E 60, 58.
  367. Percus, J. K., and G. J. Yevick, 1958, Phys. Rev. 110, 1.
  368. Pham, K. N., A. M. Puertas, J. Bergenholtz, S. U. Egelhaaf, A. Moussaïd, P. N. Pusey, A. B. Schofield, M. E. Cates, M. Fuchs, and W. C. K. Poon, 2002, Science 296, 104.
  369. Phythian, R., 1975, J. Phys. A 8, 1423.
  370. Phythian, R., 1976, J. Phys. A 9, 269.
  371. Phythian, R., 1977, J. Phys. A 10, 777.
  372. Pimenov, A., P. Lunkenheimer, H. Rall, R. Kohlhass, A. Loidl, and R. Böhmer, 1996, Phys. Rev. E 54, 676.
  373. Pitard, E., and E. I. Shakhnovich, 2001, Phys. Rev. E 63, 0415011.
  374. Pomeau, Y., and P. Résibois, 1975, Phys. Rep., Phys. Lett. 19, 63.
  375. Puertas, A. M., M. Fuchs, and M. E. Cates, 2002, Phys. Rev. Lett. 88, 098301.
  376. Pusey, P. N., 1991, in Liquids, Freezing and the Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (Elsevier, New York), p. 763.
  377. Rahman, A., 1964, Phys. Rev. 136, A405.
  378. Ramakrishnan, T. V., and M. Yussouff, 1979, Phys. Rev. B 19, 2775.
  379. Résibois, P., 1978a, J. Stat. Phys. 19, 593.
  380. Résibois, P., 1978b, Physica A 94A, 1.
  381. Résibois, P., and M. de Leener, 1977, Classical Kinetic Theory of Fluids (Wiley Interscience, New York).
  382. Ribeiro, M. C. C., and P. A. Madden, 1998, J. Chem. Phys. 108, 3256.
  383. Rogers, F. J., and D. A. Young, 1984, Phys. Rev. A 30, 999.
  384. Roux, J.-N., J-L. Barrat, and J.-P. Hansen, 1989, J. Phys.: Condens. Matter 1, 7171.
  385. Roux, J.-N., J-L. Barrat, and J.-P. Hansen, 1990, Chem. Phys. 149, 197.
  386. Sachdev, S., 1986, Phys. Rev. B 33, 6395.
  387. Sanyal, S., and A. K. Sood, 1995, Phys. Rev. E 52, 4154 (Part I); 1995, 52, 4168 (Part II).
  388. Sanyal, S., and A. K. Sood, 1996, Europhys. Lett. 34, 361.
  389. Sanyal, S., and A. K. Sood, 1998, Phys. Rev. E 57, 908.
  390. Sastry, S., P. G. Debenedetti, and F. H. Stillinger, 1998, Nature (London) 393, 554.
  391. Scala, A., C. Valeriani, F. Sciortino, and P. Tartaglia, 2003, Phys. Rev. Lett. 90, 115503.
  392. Schilling, R., 2002, Phys. Rev. E 65, 051206.
  393. Schilling, R., and T. Scheidsteger, 1997, Phys. Rev. E 56, 2932.
  394. Schmitz, R., J. W. Dufty, and P. De, 1993, Phys. Rev. Lett. 71, 2066.
  395. Schneider, U., P. Lunkenheimer, R. Brand, and A. Loidl, 1999, Phys. Rev. E 59, 6924.
  396. Schönhals, A., F. Kremer, A. Hofmann, E. W. Fischer, and E. Schlosser, 1993, Phys. Rev. Lett. 70, 3459.
  397. Schönhals, A., F. Kremer, and E. Sclosser, 1991, Phys. Rev. Lett. 67, 999.
  398. Schröder, T. B., S. Sastry, J. Dyre, and S. C. Glotzer, 2000, J. Chem. Phys. 112, 9834.
  399. Sciortino F., L. Fabbian, S. H. Chen, and P. Tartaglia, 1997, Phys. Rev. E56, 5397.
  400. Sciortino, F., L. Fabbian, and P. Tartaglia, 1999, Nuovo Cimento D 20, 2135.
  401. Sciortino, F., P. Gallo, P. Tartaglia, and S. H. Chen, 1996, Phys. Rev. E54, 6331.
  402. Sciortino, F., and W. Kob, 2001, Phys. Rev. Lett. 86, 648.
  403. Sciortino, F., W. Kob, and P. Tartaglia, 1999, Phys. Rev. Lett. 83, 3214.
  404. Sciortino, F., and P. Tartaglia, 1997, Phys. Rev. Lett. 78, 2385.
  405. Sciortino, F., and P. Tartaglia, 2001, Phys. Rev. Lett. 86, 107.
  406. Siggia, E., 1985, Phys. Rev. A 32, 3135.
  407. Singh, Y., 1991, Phys. Rep. 207, 351.
  408. Singh, Y., J. P. Stoessel, and P. G. Wolynes, 1985, Phys. Rev. Lett. 54, 1059.
  409. Sinha, S., and M. C. Marchetti, 1992, Phys. Rev. A 46, 4942.
  410. Sjögren, L., 1986, Phys. Rev. A 33, 1254.
  411. Sjögren, L., 1990, Z. Phys. B: Condens. Matter 79, 5.
  412. Sjögren, L., and A. Sjölander, 1978, Ann. Phys. (N.Y.) 110, 122.
  413. Smolej, F., and H. H. Hahn, 1993, Physica A 201, 164.
  414. Sokolov, A., A. Kisliuk, D. Quitmann, A. Kudlik, and E. Rössler, 1994, J. Non-Cryst. Solids 172-174, 138.
  415. Sompolinsky, H., and A. Zippelius, 1981, Phys. Rev. Lett. 47, 359.
  416. Sompolinsky, H., and A. Zippelius, 1982, Phys. Rev. B 25, 6860.
  417. Srivastava, S., and S. P. Das, 2001, Phys. Rev. E 63, 011505.
  418. Srivastava, S., and S. P. Das, 2002, J. Chem. Phys. 116, 2529.
  419. Srivastava, S., U. Harbola, and S. P. Das, 2002, Phys. Rev. E 65, 051506.
  420. Stillinger, F. H., 1995, Science 267, 1935.
  421. Stillinger, F. H., and T. A. Weber, 1982, Phys. Rev. A 25, 978.
  422. Stillinger, F. H., and T. A. Weber, 1984, Science 225, 983.
  423. Struik, L. C. E., 1978, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Amsterdam).
  424. Szamel, G., and H. Löwen, 1991, Phys. Rev. A 44, 8215.
  425. Taborek, P., R. N. Kleiman, and D. J. Bishop, 1986, Phys. Rev. B 34, 1835.
  426. Thakur, J. S., and J. Bosse, 1991a, Phys. Rev. A 43, 4378.
  427. Thakur, J. S., and J. Bosse, 1991b, Phys. Rev. A 43, 4388.
  428. Theenhaus, T., R. Schilling, A. Latz, and M. Letz, 2001, Phys. Rev. E 64, 051505.
  429. Thirumalai, D., R. D. Mountain, and T. R. Kirkpatrick, 1989, Phys. Rev. A 39, 3563.
  430. Tokuyama, M., and I. Oppenheim, 1997, Physica A 216, 85.
  431. Tölle, A., H. Schober, J. Wuttke, and F. Fujara, 1997, Phys. Rev. E 56, 809.
  432. Tölle, A., J. Wuttke, H. Schober, O. G. Randl, and F. Fujara, 1998, Eur. Phys. J. B 5, 231.
  433. Torell, L. M., L. Börjesson, and A. P. Sokolov, 1995, Transp. Theory Stat. Phys. 24, 1097.
  434. Torre, R., P. Bartolini, and R. M. Pick, 1998, Phys. Rev. E 57, 1912.
  435. Toulouse, J., G. Coddens, and R. Pattnaik, 1993, Physica A 201, 305.
  436. Toulouse, J., R. Pick, and C. Dreyfus, 1996, in Disordered Materials and Interfaces, edited by H. E. Stanley, H. Z. Cummins, D. J. Durian, and D. L. Johnson, MRS Symposia Proceedings No. 407 (Materials Research Society, Pittsburgh), p. 161.
  437. Turnbull, D., and J. C. Fisher, 1949, J. Chem. Phys. 17, 71.
  438. Turski, L. A., 1986, Phys. Scr. T13, 259.
  439. Ullo, J. J., and S. Yip, 1985, Phys. Rev. Lett. 54, 1509.
  440. Ullo, J. J., and S. Yip, 1989, Phys. Rev. A 39, 5877.
  441. Valls, O. T., and G. F. Mazenko, 1991, Phys. Rev. A 44, 2596.
  442. Valls, O. T., and G. F. Mazenko, 1992, Phys. Rev. A 46, 7756.
  443. van Beijeren, H., and M. H. Ernst, 1973, Physica (Amsterdam) 68, 437.
  444. van Leeuwen, J. M. J., J. Groeneveld, and J. de Boer, 1959, Physica (Amsterdam) 25, 792.
  445. van Megen, W., 1995, Transp. Theory Stat. Phys. 24, 1017.
  446. van Megen, W., T. C. Mortensen, S. R. Williams, and J. Müller, 1998, Phys. Rev. E 58, 6073.
  447. van Megen, W., and S. M. Underwood, 1993a, Phys. Rev. Lett. 70, 2766.
  448. van Megen, W., and S. M. Underwood, 1993b, Phys. Rev. E 47, 248.
  449. van Megen, W., and S. M. Underwood, 1994, Phys. Rev. E 49, 4206.
  450. Verlet, L., and J. J. Weiss, 1972, Phys. Rev. A 5, 939.
  451. Vincent, E., J. Hammann, and M. Ocio, 1992, in Recent Progress in Random Magnets, edited by D. H. Ryan (World Scientific, Singapore), pp. 207-236.
  452. Vincent, E., J. Hammann, M. Ocio, J.-P Bouchaud, and L. F. Cugliandolo, 1997, in Complex Behaviour of Glassy Systems: Proceedings of the XIV Sitges Conference, Barcelona, 1996, edited by J. M. Rubi and Conrado Perez-Vicente, Lecture Notes in Physics Vol. 492 (Springer, Berlin), pp. 184–219.
  453. von-Schweidler, E., 1907, Ann. Phys. (Leipzig) 24, 711.
  454. Williams, G., and D. C. Watts, 1970, Trans. Faraday Soc. 66, 80.
  455. Woodcock, L. V., 1981, Ann. N.Y. Acad. Sci. 371, 274.
  456. Woodcock, L. V., and C. A. Angell, 1981, Phys. Rev. Lett. 47, 1129.
  457. Wu, J., and J. Cao, 2003, Phys. Rev. E 67, 061116.
  458. Wu, L., 1991, Phys. Rev. B 43, 9906.
  459. Wu, L., P. K. Dixon, S. R. Nagel, B. D. Williams, and J. P. Carini, 1991, J. Non-Cryst. Solids 131, 32.
  460. Wuttke, J., J. Hernandez, G. Li, G. Goddens, H. Z. Cummins, F. Fujara, W. Petry, and H. Sillescu, 1994, Phys. Rev. Lett. 72, 3052.
  461. Wuttke, J., M. Kiebel, E. Bartsch, F. Fujara, W. Petry, and H. Sillescu, 1993, Z. Phys. B: Condens. Matter 91, 357.
  462. Wuttke, J., M. Ohl, M. Goldammer, S. Roth, U. Schneider, P. Lunkenheimer, R. Kahn, B. Rufflé, R. Lechner, and M. A. Berg, 2000, Phys. Rev. E 61, 2730.
  463. Yan, Y.-X., and K. A. Nelson, 1987a, J. Chem. Phys. 87, 6240.
  464. Yan, Y.-X., and K. A. Nelson, 1987b, J. Chem. Phys. 87, 6257.
  465. Yang, Y., L. J. Muller, and K. A. Nelson, 1996, in Disordered Materials and Interfaces, edited by H. E. Stanley, H. Z. Cummins, D. J. Durian, and D. L. Johnson, MRS Symposia Proceedings No. 407 (Materials Research Society, Pittsburgh), p. 145.
  466. Yang, Y., and K. A. Nelson, 1995, Phys. Rev. Lett. 74, 4883.
  467. Yang, Y., and K. A. Nelson, 1996, J. Chem. Phys. 104, 5429.
  468. Yeo, J., 1995, Phys. Rev. E 52, 853.
  469. Yeo, J., and G. F. Mazenko, 1994, J. Non-Cryst. Solids 172-174, 1.
  470. Yeo, J., and G. F. Mazenko, 1995, Phys. Rev. E 51, 5752.
  471. Young, A. P., 1997, Ed., Spin Glasses and Random Fields (World Scientific, Singapore).
  472. Zaccarelli, E., G. Foffi, K. A. Dawson, F. Sciortino, and P. Tartaglia, 2001a, Phys. Rev. E 63, 031501.
  473. Zaccarelli, E., G. Foffi, F. Sciortino, P. Tartaglia, and K. A. Dawson, 2001b, Europhys. Lett. 55, 157.
  474. Zaccarelli, E., H. Löwen, P. P. F. Wessels, F. Sciortino, P. Tartaglia, and C. N. Likos, 2004, Phys. Rev. Lett. 92, 225703.
  475. Zeng, Xiao-Chen, D. Kivelson, and G. Tarjus, 1994, Phys. Rev. E 50, 1711.
  476. Zerah, G., and J. P. Hansen, 1986, J. Chem. Phys. 84, 2336.
  477. Zippelius, A., B. I. Halperin, and D. R. Nelson, 1980, Phys. Rev. B 22, 2514.
  478. Zubarev, D. N., V. Morozov, and G. Röpke, 1997, Statistical Mechanics of Nonequilibrium Processes (Wiley, New York), Vol. II.
  479. Zwanzig, R., 1961, in Lectures in Theoretical Physics, edited by W. E. Britton, B. W. Downs, and J. Down (Wiley-Interscience, New York), Vol. III, p. 135.
  480. Zwanzig, R., 1963, Phys. Rev. 129, 486.
  481. Zwanzig, R., 1972, in Statistical Mechanics, edited by S. A. Rice, K. F. Freed, and J. C. Light (University of Chicago, Chicago).
  482. Zwanzig, R., 1988, J. Chem. Phys. 88, 5831.
  483. Zwanzig, R., and M. Bixon, 1970, Phys. Rev. A 2, 2005.

Outline

Information

Rev. Mod. Phys. 76, 785– Published 15 October, 2004

    © 2004 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation