Abstract
In the close neighbourhood of the glass transition temperature, neutron scattering shows fast relaxations with a practically temperature-independent time constant of the order of a picosecond. Recent neutron data indicate a close connection between these fast relaxations and the soft vibrations which coexist and interact with the sound waves in the glassy state, giving rise to the maximum in C p /T 3 (C p specific heat, T temperature) and to the boson peak in neutron and Raman scattering.
The slow α-relaxation of the flow process can only be studied by neutrons at higher temperatures, where the relaxation times enter the nanosecond range. Spin-echo measurements have shown a stretched exponential Kohlrausch time dependence and the validity of the time-temperature Vogel-Fulcher-Tamman scaling even at these very short relaxation times. Furthermore, the separation of the Johari-Goldstein relaxation from the α-process could be observed. Several predictions of the mode coupling theory have been verified in four different substances.
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References
Jäckle J. (1986), Rep. Prog. Phys. 49, 171
Bengtzelius U., Götze W. and Sjölander A. (1984) ‘Dynamics of supercooled liquids and the glass transition’, J. Phys. C 17, 5915–5934; Leutheusser E. (1984), Phys. Rev. A 29, 2765; Götze W. (1991), in Liquids, Freezing and the Glass Transition, edited by Hansen J. P., Levesque D. and Zinn-Justin J., ( North-Holland, Amsterdam ) p. 287
Hansen, J. P. and MacDonald I. R. (1986) The Theory of Simple Liquids, Academic Press, New York
Phillips W. A. (ed.)(1981), Amorphous Solids: Low temperature properties, Springer, Berlin
Karpov V. G., Klinger M. I. and Ignat’ev F. N. (1983), Zh. Eksp. Teor. Fiz. 84, 760 [Soy. Phys— JETP 57, 439]
Il’in M. A., Karpov V. G. and Parshin D. A. (1987), Zh. Eksp. Teor. Fiz. 92, 291 [Sov. Phys.— JETP 65, 165]
Beevers M. S., Crossley J., Garrington D. C. and Williams G. (1977) J. Chem. Soc. Faraday Trans. II73, 458
Fytas G., Wang C. H., Lilge D. and Dorfmiiller Th. (1981) J. Chem. Phys. 75, 4247
Dries Th., Fujara F., Kiebel M., Rössler E. and Sillescu H. (1988) J. Chem. Phys. 88, 2139
Johari G. P. and Goldstein M. (1970), J. Chem. Phys. 53, 2372 Johari G. P. (1973), J. Chem. Phys. 58, 1766
Hyde P. D., Evert T. E., Cicerone M. T. and Ediger M. D. (1991) J. Non-Cryst. Solids 131–133, 42
Bartsch E., Debus O., Fujara F., Kiebel M., Sillescu H. and Petry W. (1991) Ber. Bunsenges. Phys. Chem. 95, 1146
Steffen W., Patkowski A., Meier G. and Fischer E. W., (1992) ‘Depolarized light scattering studies of ortho-terphenyl dynamics above Tg’, J. Chem. Phys. 96, 4171–4179.
Rössler E. (1992) ‘Comment on “Decoupling of time scales of motion in polybutadiene close to the glass transition”; Phys. Rev. Lett. 69, 1620–1620.
Heijboer J. (1978), in Molecular Basis of Transitions and Relaxationsed. by Meier D. J., Gordon and Breach,. New York, p. 75
Wang C. H. and Wright R. B. (1970), J. Chem. Phys. 55, 3300
Condat C. A. and Jäckle J. (1992), Phys. Rev. B 46, 8154
Fujara, F. and Petry W. (1987) Europhys. Lett. 4, 921–927
Frick B., Richter, D., Petry W. and Buchenau U. (1987) Z. Phys. B 70, 73
Kanaya T., Kaji K. and Inoue K. (1991) ‘Local motions of cis-1,4-polybutadiene in the melt. A quasielastic neutron-scattering study’, Macromolecules 24, 1826–1832
Wuttke J., Kiebel M., Bartsch E., Fujara F., Petry W. and Sillescu H. (1993) ‘Relaxations and phonons in viscous and glassy orthoterphenyl by neutron scattering’, Z. Phys. B (submitted)
Knaak W., Mezei F. and Farago B. (1988) ‘Observation of scaling behaviour of dynamic correlations near liquid-glass transition’, Europhys. Lett. 7, 529–536 (see also the discussion of these data by W. Götze in this volume)
Linder K. (1993) Diplomarbeit RWTH Aachen
Frick B. and Richter D. (1993) unpublished
Krüger M., Soltwisch M., Petscherizin I. and Quitmann D. (1992), J. Chem. Phys. 96, 7352
Shuker R. and Gammon R. W. (1970) ‘Raman-scattering selection-rule breaking and the density of states in amorphous materials’, Phys. Rev. Lett. 25, 222–225.
Malinovsky V. K., Novikov V. N., Parshin P. P., Sokolov A. P. and Zemlyanov M. G. (1990), Europhys. Lett. 11, 43
Malinovsky V. K., Novikov V. N., Sokolov A. P. and Bagryansky V. A. (1988) ‘Light scattering by fractons in polymers’, Chem. Phys. Lett. 143, 111–114.
Buchenau U., Nücker N., Dianoux A. J. and Krause D. (1993) Conference on Dynamics of Disordered Materials II, Grenoble, March 1993
Buchenau U., Prager M., Nücker N., Dianoux A. J., Ahmad N. and Phillips W. A. (1986), Phys. Rev. B 34, 5665; Buchenau U., Zhou H. M., Nücker N., Gilroy K. S., and Phillips W. A. (1988), Phys. Rev. Lett. 60, 1318
Buchenau U. (1990), in Basic Features of the Glassy State, ed. by Colmenero J. and Alegria A., World Scientific, Singapore, p. 297
Zeller R. C. and Pohl R. O. (1971), Phys. Rev. B 4, 2029
Freeman J. J. and Anderson A. C. (1986), Phys. Rev. B 34, 5684
Hunklinger S. and Arnold W. (1976), in Physical AcousticsVol. XII, ed. by Mason W.P. and Thurston R.N., Academic Press, New York, p. 155.
Hunklinger S. and von Schickfus M. (1981), in Ref. 2, p. 81
Phillips W. A. (1972), J. Low. Temp. Phys. 7, 351; Anderson P. W., Halperin B. I., Varma C. M. (1972), Phil. Mag., 25, 1
Laird B. B. and Schober H. R. (1991), Phys. Rev. Lett. 66, 636; Schober H. R. and Laird B. B. (1991), Phys. Rev. B 44, 6746
Gil L., Ramos M. A., Bringer A. and Buchenau U. (1993) Phys. Rev. Lett. 70, 182–185
Lasjaunias J. C., Ravex A., Vandorpe M. and Hunklinger S. (1975), Solid State Commun. 17, 1045
Löhneysen H. V., Rüsing H. and Sander W. (1985), Z. Physik B 60, 323
Buchenau U., Galperin Yu. M., Gurevich V. L., Parshin D. A., Ramos M. A. and Schober H. R. (1992), Phys. Rev. B 46, 2798
Cahill D. G. and Pohl R. O. (1987), Phys. Rev. B 35, 4067; D. G. Cahill (1989), Ph. D. Thesis, Cornell University
Gilroy K. S. and Phillips W. A. (1981), Phil. Mag. B 43, 735
Tielbürger D., Merz R., Ehrenfels R. and Hunklinger S. (1992), Phys. Rev. B 45, 2750
Carini G., Cutroni M., Galli G. and Wanderlingh F. (1978), J. Non-Crystalline Solids 30, 61
Schober H. R., Oligschleger C. and Laird B. B. (1993), J. Non-Crystalline Solids (accepted )
Buchenau U. (1992), Phil. Mag. B 65, 303
Buchenau U., Galperin Yu. M., Gurevich V. L. and Schober H. R. (1991), Phys. Rev. B 43, 5039
Phillips W. A., Buchenau U., Nücker N., Dianoux A. J. and Petry W. (1989), Phys. Rev. Lett. 63, 2381
Vineyard C. M. (1959), Phys. Rev. 110, 999
Bhattacharya K., Kehr K. and Buchenau U. (1993) (unpublished)
Mezei F., Knaak W. and Farago B. (1987) ‘Neutron spin-echo study of dynamic correlations near the liquid-glass transition’, Phys. Rev. Lett. 58, 571–574.
Richter D., Frick B. and Farago B. (1988) Phys. Rev. Lett. 61, 2465
Richter D., Zorn R., Farago B., Frick B. and Fetters L. J. (1992) ‘Decoupling of time scales of motion in polybutadiene close to the glass transition’, Phys. Rev. Lett. 68, 71–74.
Colmenero J., Alegria, A., Arbe A. and Frick B. (1992) Phys. Rev. Lett. 69, 478–481
Doster W., Cusack S. and Petry W. (1990) Phys. Rev. Lett. 65, 1080–1083
Kiebel M., Bartsch E., Debus O., Fujara F., Petry W. and Sillescu H. (1992) ‘Secondary relaxation in the glass transition regime of ortho-terphenyl observed by incoherent neutron scattering’, Phys. Rev. B 45, 10301–10305
Zorn R. (1993) Dynamics of Disordered Materials II, Conference Grenoble March 1993
Frick B., Farago B. and Richter D. (1990) ‘Temperature dependence of the nonergodicity parameter in polybutadiene in the neighbourhood of the glass transition’, Phys. Rev. Lett. 64, 2921–2924.
Hahn H. and Matzke M. (1984), PTB–Bericht FMRB–105, ISSN 03416666, Physikalisch–Technische Bundesanstalt, Braunschweig; (1987) Zeitschrift für Physikalische Chemie 156, 365; Matzke M. and Hahn H. (1988), PTB–Bericht PTBFMRB–116, ISSN 0341–6666 and ISBN 3–88314–763–X, Physikalisch–Technische Bundesanstalt, Braunschweig
Seeley G. and Keyes T. (1989), J. Chem. Phys. 91, 5581
Xu B. C. and Stratt R. M. (1990), J. Chem. Phys. 92, 1923
Buchner M., Ladanyi B. and Stratt R. M. (1992), J. Chem. Phys. 97, 8522
Cohen M. H. and Turnbull D. (1959), J. Chem Phys. 31, 1164
Buchenau 11. and Zorn R. (1992) ‘A relation between fast and slow motions in glassy and liquid selenium’, Europhys. Lett. 18, 523–528.
Angell C. A. (1984), in Proceedings of the Workshop on Relaxation Effects in Disordered Systems, ed. by Ngai K. and Lee T. K., McGregor and Werner Inc, New York, p. 3.
Tao N. J., Li G., Chen X., Du W. M. and Cummins H. Z. (1991), Phys. Rev. B 44, 6665; Tao N. J., Li G. and Cummins H. Z. (1991), Phys. Rev. Lett. 66, 1334
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Buchenau, U. (1993). Neutron Scattering at the Glass Transition. In: Riste, T., Sherrington, D. (eds) Phase Transitions and Relaxation in Systems with Competing Energy Scales. NATO ASI Series, vol 415. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1908-5_11
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DOI: https://doi.org/10.1007/978-94-011-1908-5_11
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