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Theories of the Structural Glass Transition

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Collective Dynamics of Nonlinear and Disordered Systems

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References

  1. K. Binder, A.P. Young, Rev. Mod. Phys. 58, 801,(1986)

    Article  Google Scholar 

  2. M. Mézard, G. Parisi, M.A. Virasoro “Spin Glass Theory and Beyond”, World Scientific, Singapore 1987

    Google Scholar 

  3. J. Wong, C.A. Angell “Glass: Structure by Spectroscopy”, Dekker, New York, 1976; C.A. Angell, Science 267, 1924 (1995)

    Google Scholar 

  4. J. Jäckle, Rep. Prog. Phys. 49, 171 (1986)

    Article  Google Scholar 

  5. P.G. Debenedetti “Metastable Liquids: Concepts and Principles”, Princeton University Press, Princeton, 1996

    Google Scholar 

  6. E. Donth “The Glass Transition: Relaxation Dynamics in Liquids and Disordered Materials”, Material Science, Springer-Verlag, Berlin 2001

    Google Scholar 

  7. J.P. Bouchaud, M. Mézard, J. Phys. I (France) 4, 1109 (1984); E. Marinari, G. Parisi, F. Ritort, J. Phys. A27, 7615 (1994); A27, 7647 (1994); L.F. Cugliandolo, J. Kurchan, G. Parisi, F. Ritort, Phys. Rev. Lett. 74, 1012 (1995); P. Chandra, L.B. Ioffe, D. Sherrington, Phys. Rev. Lett. 75, 713 (1995); L.B. Ioffe, A.V. Lopatin, J. Phys.: Condens. Matter 13, L371 (2001)

    Article  Google Scholar 

  8. T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. Lett. 58, 2091 (1987); Phys. Rev. B36, 5388 (1987); T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. B36, 8552 (1987)

    Article  PubMed  Google Scholar 

  9. A.L. Greer, Nature 404, 134 (2000); F.H. Stillinger, P.G. Debenedetti, Biophysical Chemistry, in press; M.R. Feeney, P.G. Debenedetti, F.H. Stillinger, submitted to J. Chem. Phys.

    Article  PubMed  Google Scholar 

  10. F.H. Stillinger, P.G. Debenedetti, T.M. Truskett, J. Phys. Chem. B 105, 11809 (2001)

    Article  Google Scholar 

  11. U. Bengtzelius, W. Götze, A. Sjölander, J. Phys. C 17, 5915 (1984)

    Article  Google Scholar 

  12. W. Götze, L. Sjögren, Rep. Prog. Phys. 55, 241 (1992); W. Götze, J. Phys.: Condens. Matter 11, A1 (1999)

    Article  Google Scholar 

  13. W. Kob, H.C. Anderson, Transp. Theory Stat. Phys. 24, 1179 (1995); W. Kob in “Experimental and Theoretical Approaches to Supercooled Liquids: Advances and Novel Applications”, eds. J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson, ACS Books, Washington, 1997: p. 28; W. Kob, J. Phys.: Condens. Matter 11, R85 (1999) W. Kob, Les Houches lecture notes 2002, cond-mat/0212344.

    Google Scholar 

  14. F. Sciortino, P. Gallo, P. Tartaglia, S.-H. Chen, Phys. Rev. E 54, 6331 (1996); F. Sciortino, L. Fabbian, S.-H. Chen, P. Tartaglia, Phys. Rev. E56, 5397 (1997); C. Theis, F. Sciortino, A. Latz, R. Schilling, P. Tartaglia, Phys. Rev. E62, 1856 (2000); S. Kämmerer, W. Kob, R. Schilling, Phys. Rev. E56, 5450 (1997); E58, 2131, 2141 (1998); A. Winkler, A. Latz, R. Schilling, C. Theis, Phys. Rev. E62, 8004 (2000)

    Article  Google Scholar 

  15. L. Fabbian, A. Latz, R. Schilling, F. Sciortino, P. Tartaglia, C. Theis, Phys. Rev. E 60, 5768 (1999)

    Article  Google Scholar 

  16. M. Goldstein, J. Chem. Phys. 51, 3728 (1969); F.H. Stillinger, T.A. Weber, Phys. Rev. A25, 978 (1982); F.H. Stillinger, Science 267, 1935 (1995); D. Sherrington, Physica D107, 117 (1997).

    Article  Google Scholar 

  17. S. Sastry, P.G. Debenedetti, F.H. Stillinger, Nature 393, 554 (1998); S. Büchner, A. Heuer, Phys. Rev. Lett. 84, 2168 (2000); T.B. Schrøer, S. Sastry, J.C. Dyre, S.C. Glotzer, J. Chem. Phys. 112, 9834 (2000); L. Angelani, R. Di Leonardo, G. Ruocco, A. Scala, F. Sciortino, Phys. Rev. Lett. 85, 5356 (2000); K. Broderix, K.K. Bhattacharya, A. Cavagna, A. Zippelius, I. Giardina, Phys. Rev. Lett. 85, 5360 (2000); A. Cavagna, Europhys. Lett. 53, 490 (2001); T.S. Grigera, A. Cavagna, I. Giardina, G. Parisi, Phys. Rev. Lett. 88, 055502 (2002); J.P.K. Doyle, D.J. Wales, J. Chem. Phys. 116, 3777 (2002)

    Article  Google Scholar 

  18. F. Sciortino, W. Kob, P. Tartaglia, Phys. Rev. Lett. 83, 3214 (1999)

    Article  Google Scholar 

  19. G. Adam, J.H. Gibbs, J. Chem. Phys. 43, 139 (1965)

    Article  Google Scholar 

  20. W. Kauzmann, Chem. Rev. 43, 219 (1948)

    Article  Google Scholar 

  21. M.H. Cohen, D. Turnbull, J. Chem. Phys. 31, 1164 (1959)

    Article  Google Scholar 

  22. M.H. Cohen, G.S. Grest, Phys. Rev. B 20, 1077 (1979); ibid B24 (1981)

    Article  Google Scholar 

  23. D. Stauffer, A. Aharony “Introduction to Percolation Theory”, Taylor and Francis Ltd., London, 1994

    Google Scholar 

  24. J.H. Gibbs, J. Chem. Phys. 25, 185 (1956); J.H. Gibbs, E.A. Di Marzio, J. Chem. Phys. 28, 373 (1958)

    Article  Google Scholar 

  25. P.J. Flory, J. Chem. Phys. 9, 660 (1941); M.L. Huggins, J. Chem. Phys. 9, 440 (1941)

    Article  Google Scholar 

  26. K. Kawasaki in “Phase Transitions and Critical Phenomena”, eds. C. Domb, M.S. Green, Academic Press, London, 1976

    Google Scholar 

  27. W. Götze in “Liquids, Freezing and the Glass Transition”, eds. J.P. Hansen, D. Levesque, J. Zinn-Justin, North Holland, Amsterdam 1991

    Google Scholar 

  28. R. Schilling in “Disorder Effects on Relaxational Processes”, eds. R. Rickert, A. Blumen, Springer-Verlag, Berlin, 1994

    Google Scholar 

  29. H.Z. Cummins, J. Phys.: Condens. Matter 11, A95 (1999)

    Article  Google Scholar 

  30. T. Franosch, M. Fuchs, W. Götze, M.R. Mayr, A.P. Singh, Phys. Rev. E 56, 5659 (1997)

    Article  Google Scholar 

  31. R. Schilling, T. Scheidsteger, Phys. Rev. E 56, 2932 (1997); R. Schilling, Phys. Rev. E65, 051206 (2002)

    Article  Google Scholar 

  32. S.-H. Chong, F. Hirata, Phys. Rev. E 58, 6188 (1998)

    Article  Google Scholar 

  33. S.-H. Chong, W. Götze, A.P. Singh, Phys. Rev. E 63, 011206 (2001)

    Article  Google Scholar 

  34. T.R. Kirkpatrick, Phys. Rev. A 31, 939 (1985)

    Article  PubMed  Google Scholar 

  35. S.P. Das, G.F. Mazenko, Phys. Rev. A 34, 2265 (1986)

    Article  PubMed  Google Scholar 

  36. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. A 35, 3072 (1987)

    Article  PubMed  Google Scholar 

  37. E. Zaccarelli, G. Foffi, F. Sciortino, P. Tartaglia, K.A. Dawson, Europhys. Lett. 55, 157 (2001)

    Article  Google Scholar 

  38. S. Franz, J. Hertz, Phys. Rev. Lett. 74, 2114 (1995)

    Article  PubMed  Google Scholar 

  39. J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mézard, Physica A 226, 243 (1996)

    Article  Google Scholar 

  40. J.P. Hansen, I.R. McDonald, “Theory of Simple Liquids”, 2nd edition, Academic Press, London, 1986

    Google Scholar 

  41. D. Forster “Hydrodynamical Fluctuations, Broken Symmetry and Correlation Functions”, Benjamin, Reading, 1975

    Google Scholar 

  42. F. Sciortino, W. Kob, Phys. Rev. Lett. 86, 648 (2001)

    Article  PubMed  Google Scholar 

  43. W. Götze, Z. Phys. B 56, 139 (1984)

    Article  Google Scholar 

  44. W. Götze, Z. Phys. B 60, 195 (1985)

    Article  Google Scholar 

  45. M. Mézard, G. Parisi, J. Phys. A 29, 6515 (1996)

    Article  Google Scholar 

  46. Y. Singh, J.P. Stoessel, P.G. Wolynes, Phys. Rev. Lett. 54, 1059 (1985)

    Article  PubMed  Google Scholar 

  47. N.D. Mermin, Phys. Rev. 137, A 1441 (1965)

    Article  Google Scholar 

  48. T.V. Ramakrishnan, M. Youssouff, Phys. Rev. B 19, 2775 (1979)

    Article  Google Scholar 

  49. M. Mézard, G. Parisi, Phys. Rev. Lett. 82, 747 (1999)

    Article  Google Scholar 

  50. M. Mézard, G. Parisi, J. Chem. Phys. 111, 1076 (1999)

    Article  Google Scholar 

  51. R. Monasson, Phys. Rev. Lett. 75, 2847 (1995); S. Franz, G. Parisi, J. Phys. I, (France) 5, 1401 (1995)

    Article  PubMed  Google Scholar 

  52. B. Bernu, Y. Hiwatari, J.P. Hansen, J. Phys. C 18, L371 (1985)

    Article  Google Scholar 

  53. J.N. Roux, J.L. Barrat, J.P. Hansen, J. Phys.: Condens. Matter 1, 7171 (1989)

    Article  Google Scholar 

  54. M. Mézard, G. Parisi, J. Phys.: Condens. Matter 12, 6655 (2000)

    Article  Google Scholar 

  55. W. Götze, L. Sjögren, Z. Phys. B. 65, 415 (1987)

    Article  Google Scholar 

  56. R. Schmitz, J.W. Dufty, P. De, Phys. Rev. Lett. 71, 2066 (1993)

    Article  PubMed  Google Scholar 

  57. H. Horner, Z. Phys. B 66, 175 81987); A. Crisanti, H. Horner, H.J. Sommers, Z. Phys. B92, 257 (1993)

    Google Scholar 

  58. L.F. Cugliandolo, J. Kurchan, Phys. Rev. Lett. 71, 173 (1993)

    Article  PubMed  Google Scholar 

  59. W. van Megen, S.M. Underwood, Phys. Rev. E 47, 248 (1993)

    Article  Google Scholar 

  60. B. Coluzzi, M. Mézard, G. Parisi, P. Verrocchio, J. Chem. Phys. 111, 9039 (1999); B. Coluzzi, G. Parisi, P. Verrocchio, J. Chem. Phys. 112, 2933 (2000); B. Coluzzi, G. Parisi, P. Verrocchio, Phys. Rev. Lett. 84, 306 (2000)

    Article  Google Scholar 

  61. H.Z. Cumnmins, W.M. Du, M. Fuchs, W. Götze, S. Hildebrand, A. Latz, G. Li, N.J. Tao, Phys. Rev. E 47, 4223 (1993)

    Article  Google Scholar 

  62. W. Kob, H.C. Andersen, Phys. Rev. E 48, 4364 (1993); G. Biroli, M. Mézard, Phys. Rev. Lett. 88, 025501 (2002); A. Lawlor, D. Reagan, G.D. McCullagh, P. De Gregorio, P. Tartaglia, K.A. Dawson, Phys. Rev. Lett. 89, 245503 (2002)

    Article  Google Scholar 

  63. L. Angelani et al., K. Broderix et al., T.S. Grigera et al. from Ref. P.G. Debenedetti, F.H. Stillinger, Nature 393, 554 (1998); S. Büchner, A. Heuer, Phys. Rev. Lett. 84, 2168 (2000); T.B. Schrøer, S. Sastry, J.C. Dyre, S.C. Glotzer, J. Chem. Phys. 112, 9834 (2000); L. Angelani, R. Di Leonardo, G. Ruocco, A. Scala, F. Sciortino, Phys. Rev. Lett. 85, 5356 (2000); K. Broderix, K.K. Bhattacharya, A. Cavagna, A. Zippelius, I. Giardina, Phys. Rev. Lett. 85, 5360 (2000); A. Cavagna, Europhys. Lett. 53, 490 (2001); T.S. Grigera, A. Cavagna, I. Giardina, G. Parisi, Phys. Rev. Lett. 88, 055502 (2002); J.P.K. Doyle, D.J. Wales, J. Chem. Phys. 116, 3777 (2002) [17].

    Article  Google Scholar 

  64. K. Kawasaki, B. Kim, Phys. Rev. Lett. 86, 3582 (2001); K. Kawasaki, B. Kim, J. Phys.: Condens. Matter 14, 2265 (2002)

    Article  PubMed  Google Scholar 

  65. R. Schilling, G. Szamel, Europhys. Lett. 61, 207 (2003); J. Phys.: Condens. Matter 15, S967 (2003)

    Article  Google Scholar 

  66. C. Renner, H. Löwen, J.L. Barrat, Phys. Rev. E 52, 5091 (1995); S.P. Obukhov, D. Kobsev, D. Perchak, M. Rubinstein, J. Phys. I (France) 7, 563 (1997)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099, Mainz, Germany

    Rolf Schilling

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  1. Rolf Schilling
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  1. Institut für Physik, Theoretische Physik I, Technische Universität Chemnitz, Reichenhainer Str. 70, 09126, Chemnitz, Germany

    Günter Radons

  2. School of Mathematical Science, Queen Mary, University of London, Mile End Road, London, E1 4NS, UK

    Wolfram Just

  3. Institut für Physik, Technische Universität Chemnitz, Reichenhainer Str. 70, 09126, Chemnitz, Germany

    Peter Häussler

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Schilling, R. (2005). Theories of the Structural Glass Transition. In: Radons, G., Just, W., Häussler, P. (eds) Collective Dynamics of Nonlinear and Disordered Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26869-3_9

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