Non-exponential relaxation in disordered materials: Phenomenological correlations and spectrally selective experiments

Phase Transitions

Volumn 65, Issue 1-4, 1998, Pages 211-231

  Bohmer R ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Dynamic heterogeneity; Glass transition; Primary response; Relaxation

Indexed keywords

EID: 0000892696     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411599808209288     Document Type: Article

References (62)

1. Adam, G. and J.H. Gibbs (1965). On the temperature dependence of cooperative relaxation properties in glass-forming liquids. J. Chem. Phys. 43, 139.
2. Alba, C., L.E. Busse, D.J. List and C.A. Angell (1990). Thermodynamic aspects of the vitrification of toluene, and xylene isomers, and the fragility of liquids hydrocarbons. J. Chem. Phys. 92, 617.
3. Angell, C.A. (1984). Strong and fragile liquids, in: Relaxations in Complex Systems, edited by K.L. Ngai and G.B. Wright (Naval Research Laboratory, Washington D.C., 1984), p. 3.
4. Angell, C.A., L. Boehm, M. Oguni and D.L. Smith (1993). Far IR spectra and heat capacities for propylene carbonate and propylene glycol, and the connection to the dielectric response function. J. Mol. Liq. 56, 275.
5. Böhmer, R. and C.A. Angell (1992). Correlations of the nonexponentiality and state dependence of mechanical relaxations with bond connectivity in Ge-As-Se supercooled liquids. Phys. Rev. B 45, 10091.
6. Böhmer, R. and C.A. Angell (1993a). Connectivity, fragility, and non-exponential relaxation in covalently bonded glassformers. Materials Science Forum 119-121, 485.
7. Böhmer, R. and C.A. Angell (1993b). Elastic and viscoelastic properties of amorphous selenium and identification of the phase transition between ring and chain structures. Phys. Rev. B 48, 5857.
8. Böhmer, R., K.L. Ngai, C.A. Angell and D.J. Plazek (1993). Non-exponential relaxations in strong and fragile glass-formers. J. Chem. Phys. 99, 4201.
9. Böhmer, R. and C.A. Angell (1994). Global and local relaxations in glass-forming materials, in: Disorder Effects on Relaxational Processes, edited by R. Richert and A. Blumen (Springer, Berlin), pp. 11-54.
10. Böhmer, R. (1994). Non-linearity and non-exponentiality of primary relaxations. J. Non-Cryst. Solids 172-174, 628.
11. Böhmer, R., B. Schiener, J. Hemberger and R.V. Chamberlin (1995). Pulsed dielectric spectroscopy of supercooled liquids. Z. Phys. B - Condensed Matter 99, 91; (Erratum) ibid., 99, 624 (1996).
12. Böhmer, R., G. Hinze, G. Diezemann, B. Geil and H. Sillescu (1996). Dynamic heterogeneity in supercooled ortho-terphenyl studied by multidimensional deuteron NMR. Europhys. Lett. 36, 55.
13. Böhmer, R., G. Diezemann, G. Hinze and H. Sillescu (1997). An NMR study of higher-order correlation functions in supercooled ortho-terphenyl. J. Chem. Phys. (submitted).
14. Boolchand, P., R.N. Enzweiler, R.L. Cappelletti, W.A. Kamitakahara, Y. Cai and M.F. Thorpe (1990). Vibrational thresholds in covalent networks. Solid State Ionics 39, 81.
15. Bucaro, J.A. and H.D. Dardy (1977). High-temperature strain relaxation in silica by optical correlation spectroscopy. Journal of Non-Crystalline Solids 24, 121.
16. Chamberlin, R.V. and D.N. Haines (1990). Percolation model for relaxation in random systems. Phys. Rev. Lett. 17, 2197.
17. Cicerone, M.T. and M.D. Ediger (1995). Relaxation of spatially heterogeneous dynamic domains in supercooled ortho-terphenyl. J. Chem. Phys. 103, 5684.
18. Cook, R.L., H.E. King, Jr., C.A. Herbst and D.R. Herschbach (1994). Pressure and temperature dependent viscosity of two glass forming liquids: Glycerol and dibutyl phthalate. J. Chem. Phys. 100, 5178.
19. Cross, L.E. (1994). Relaxor ferroelectrics: An overview. Ferroelectrics 151, 305.
20. Diezemann, G., G. Hinze, R. Böhmer and H. Sillescu (1997a). Higher order time correlation functions from fluctuating energy landscape models: Comparison with reduced 4D-NMR, in: Theoretical and Experimental Approaches to Supercooled Liquids: Advances and Novel Applications, edited by J. Fourkas, D. Kivelson, U. Mohanty, and K. Nelson (ACS Books, Washington, 1997) (in press).
21. Diezemann, G. (1997b). A free-energy landscape model for primary relaxation in supercooled liquids: rotations and dynamic heterogeneities. J. Chem. Phys. (in press).
22. Dixon, P.K., L. Wu, S.R. Nagel, B.D. Williams and J.P. Carini (1990). Scaling in the relaxation of supercooled liquids. Phys. Rev. Lett. 65, 1108.
23. Ediger, M.D., C.A. Angell and S.R. Nagel (1996). Supercooled liquids and glasses. J. Phys. Chem. 100, 13200.
24. Ferrari, L., W.A. Phillips and G. Russo (1987). Heat capacity at the glass transition. Europhys. Lett. 3, 611.
25. Fujara, F., B. Geil, H. Sillescu and G. Fleischer (1992). Translational and rotational diffusion in supercooled orthoterphenyl close to the glass transition. Z. Phys. B 88, 195.
26. Fujimori, H., H. Fujita and M. Oguni (1995). Nonlinearity of the enthalpic response function to a temperature jump and its interpretation based on fragility in liquid glasses. Bull. Chem. Soc. Jpn. 68, 447.
27. Götze, W. and L. Sjögren (1992). Relaxation processes in supercooled liquids. Rep. Prog. Phys. 55, 241.
28. Hansen, C., F. Stickel, T. Berger, R. Richert and E.W. Fischer (1997). Dynamics of Glass-forming liquids. III: Comparing the dielectric α- and β-relaxation of 1-propanol and o-terphenyl. J. Chem. Phys. (in press).
29. Heuer, A., M. Wilhelm, H. Zimmermann and H.W. Spiess (1995). Rate memory of structural relaxation in glasses and its detection by multidimensional NMR. Phys. Rev. Lett. 75, 2851.
30. 2H nuclear magnetic resonance study of supercooled toluene: Slow and fast processes above and below the glass transition. J. Chem. Phys. 104, 314.
31. Hinze, G., R. Böhmer, G. Diezemann and H. Sillescu (1997). Experimental determination of four-time stimulated echoes in liquids, colloidal dispersions, and crystals. J. Magn. Reson. A (submitted).
32. Hodge, I.M. (1987). Effects of annealing and prior history on enthalpy relaxation in glassy polymers. 6. Adam-Gibbs formulation of nonlinearity. Macromolecules 20, 2897.
33. Hodge, I.M. (1994). Enthalpy relaxation and recovery in amorphous materials, J. Non-Cryst. Solids 169, 211.
34. Hodge, I.M. (1996). Strong and fragile liquids - a brief critique. J. Non-Cryst. Solids 202, 164.
35. Höchli, U.T., K. Knorr and A. Loidl (1990). Orientational glasses. Adv. Phys. 39, 405.
36. Kamitakahara, W.A., R.L. Capelletti, P. Boolchand, B. Halfpap, F. Gompf, D.A. Neumann and H. Mutka (1991). Vibrational densities of states and network rigidity in chalcogenide glasses. Phys. Rev. B 44, 94.
37. Kohlrausch, R. (1854). Theorie des elektrischen Rückstandes in der Leidener Flasche. Pogg. Ann. Phys. 91, 179.
38. Kuebler, S.C., A. Heuer and H.W. Spiess (1997). The glass transition of polymers: memory effects in structural relaxation of polystyrene. Phys. Rev. E 56, 741.
39. Loidl, A. and R. Böhmer (1994). Glass transitions and relaxation phenomena in orientational glasses and supercooled plastic crystals, in: Disorder Effects on Relaxational Processes, edited by R. Richert and A. Blumen (Springer, Berlin Heidelberg, 1994), pp. 659-696.
40. Love, S.P., A.J. Sievers, B.L. Halfpap and S.M. Lindsay, (1990). Effects of network topology on low-temperature relaxation in Ge-As-Se-glasses, as probed by persistent infrared spectral hole burning. Phys. Rev. Lett. 14, 1792.
41. Lunkenheimer, P., A. Pimenov, M. Dressel, B. Gorshunov, U. Schneider, B. Schiener, R. Böhmer and A. Loidl (1997). Dielectric spectroscopy at high frequencies on glass-forming liquids, in: Structure and dynamics of glasses and glass-formers, Mat. Res. Soc. Symp. Proc. 455 (in press).
42. Moynihan, C.T. (1993). Private communication.
43. Murthy, S.S.N. and S.K. Nayak (1993). Experimental study of the nature of the glass transition process in monohydroxy alcohols. J. Chem. Phys. 99, 1607.
44. Ngai, K.L., E. Riande and G.B. Wright (Eds.) (1994). Relaxation in complex systems II. J. Non-Cryst. Solids 172-174.
45. Phillips, J.C. (1979). Topology of covalent non-crystalline solids I: Short-range order in chalcogenide alloys. J. Non-Cryst. Solids 34, 153.
46. Phillips, J.C. (1996). Stretched exponential relaxation in molecular and electronic glasses. Rep. Prog. Phys. 59, 1133.
47. Phillips, J.C. and J.M. Vandenberg (1997). Microscopic separation of charge and density intrinsic relaxation channels in NMR experiments on deeply supercooled liquids and glasses. J. Phys. - Condensed Matter 9, L251.
48. 2. Phys. Rev. E 54, 676.
49. Schiener, B., A. Loidl, R.V. Chamberlin and R. Böhmer (1996a). Dielectric study of supercooled triphenylphosphite and butyronitrile: Comparison with a mesoscopic model. J. Mol. Liq. 69, 243.
50. Schiener, B., R. Böhmer, A. Loidl and R.V. Chamberlin (1996b). Non-resonant spectral hole burning in the slow dielectric response of supercooled liquids. Science 274, 752.
51. Schiener, B., R.V. Chamberlin, G. Diezemann and R. Böhmer (1997). Dielectric hole burning spectroscopy of supercooled liquids. J. Chem. Phys. (in press).
52. Schmidt-Rohr, K. and H.W. Spiess (1991). Nature of nonexponential loss of correlation above the glass transition investigated by multidimensional NMR. Phys. Rev. Lett. 66 3020.
53. Sidebottom, D.L. and C.M. Sorensen (1997). Time and ensemble averaged dynamic light scattering in orthoterphenyl above and below the glass transition. Mat. Res. Soc. Symp. Proc. 455 (preprint).
54. Sillescu, H. (1997). Length scales near the glass transition (in preparation).
55. Sokolov, A.P., A. Kisliuk, D. Quitmann, A. Kudlik and E. Rössler (1994). The dynamics of strong and fragile glass formers, vibrational and relaxational contributions. J. Non-Cryst. Solids 172-174, 138.
56. Stickel, F., E.W. Fischer and R. Richert (1996). Dynamics of glass-forming liquids. II. detailed comparison of dielectric relaxation, de-conductivity, and viscosity data. J. Chem. Phys. 104, 2043.
57. Tarjus, G. (1997). Private communication.
58. Tatsumisago, M., B.L. Halfpap, J.L. Green, S.M. Lindsay and C.A. Angell (1990). Fragility of Ge-As-Se glass-forming liquids in relation to rigidity percolation and the Kauzmann paradox. Phys. Rev. Lett. 64, 1549.
59. Thorpe, M.F. (1983). Continuous deformations in random networks. J. Non-Cryst Solids 57, 355.
60. Vilgis, T.A. (1993). Strong and fragile glasses: A powerful classification and its consequences. Phys. Rev. B 47, 2882.
61. Williams, G. and D.C. Watts (1970). Non-symmetrical dielectric relaxation behavior arising from a simple empirical decay function. Trans. Faraday Soc. 66, 80.
62. Zhu, D.-M. (1996). Correlation between density of tunneling states and fragility of glasses. Phys. Rev. B 54, 6287.