Abstract
A brief review of the recent developments of mode-coupling theory of dense fluids shows that the existing approximations can predict certain fundamental behavior of structural relaxation and transport that are characteristic of supercooled liquids, but fall short of providing a dynamical description of the liquid-glass transition. Limitations of the theory are best investigated in the temperature region of crossover dynamics (T x ), which is distinctly above the glass transition temperature (T g ).
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References
J.-P. Boon and S. Yip,Molecular Hydrodynamics (McGraw-Hill, New York, 1980).
S. Yip,Annu. Rev. Phys. Chem. 30:547 (1979).
E. Leutheusser,Phys. Rev. A 29:2765 (1984).
U. Bengtzelius, W. Götze, and A. Sjolander,J. Phys. C 17:5915 (1984).
G. Frederickson,Annu. Rev. Phys. Chem. 39:149 (1988); J. Jäckie,Rep. Prog. Phys. 49:171 (1986);Philos. Mag. B 56:113 (1987).
T. R. Kirkpatrick,Phys. Rev. A 31:939 (1985).
W. Götze,Z. Phys. B 56:139 (1984); W. Götze and L. Sjögren,J. Phys. C 20:879 (1987).
J. Bosse and J. S. Thakur,Phys. Rev. Lett. 59:988 (1987); U. Krieger and J. Bosse,Phys. Rev. Lett. 59:1601 (1987); J. Bosse, in International Workshop on Static and Dynamic Properties of Liquids, Dubrovnik, June 1988, to appear asSpringer Proceedings in Physics (Springer-Verlag).
S. P. Das, G. F. Mazenko, S. Ramaswamy, and J. J. Toner,Phys. Rev. Lett. 54:118 (1985).
W. Götze, E. Leutheusser, and S. Yip,Phys. Rev. A 23:2634 (1981);24:1008 (1981);25:533 (1982).
T. Geszti,J. Phys. C 16:5805 (1985).
S. P. Das and G. F. Mazenko,Phys. Rev. A 34:2265 (1986).
W. Götze and L. Sjögren,Z. Phys. B 65:415 (1987).
S. P. Das,Phys. Rev. A 36:211 (1987).
W. Götze and L. Sjögren,J. Phys. C 21:3407 (1988).
G. F. Mazenko,Phys. Rev. A 9:360 (1974).
T. Taborek, R. N. Kleiman, and D. J. Bishop,Phys. Rev. B 34:1835 (1986).
B. J. Alder, D. M. Gass, and T. E. Wainwright,J. Chem. Phys. 53:3813 (1970).
U. Bengtzelius,Phys. Rev. A 34:5059 (1986).
J. J. Ullo and S. Yip,Phys. Rev. Lett. 54:1509 (1985).
G. Buchalla, U. Dersch, W. Götze, and L. Sjögren,J. Phys. C 21:4239 (1988).
J. Wong and C. A. Angell,Glass Structure by Spectroscopy (Marcel Dekker, New York, 1976).
F. Mezei, W. Knaak, and B. Farago,Phys. Rev. Lett. 58:571 (1987),Physica Scripta T 19:363 (1987).
G. P. Johari and M. Goldstein,J. Chem. Phys. 53:2372 (1970);55:4245 (1971).
W. Götze and L. Sjögren,β relaxation near glass transition singularities,J. Phys. C, to be published.
W. Götze and L. Sjögren, Neutron scattering anomalies near the glass transition singularity, ILL Workshop on Dynamics of Disordered Materials, Grenoble, September 1988, to be published asSpringer Conference Proceedings (Springer-Verlag).
M. Goldstein,J. Chem. Phys. 51:3728 (1969).
C. A. Angell,J. Phys. Chem. Solids 49:863 (1988).
J. J. Ullo and S. Yip,Phys. Rev. A 39:5877 (1989).
S.-P. Chen, T. Egami, and V. Vitek,Phys. Rev. B 37:2240 (1988).
T. R. Kirkpatrick and D. Thirumalai,Phys. Rev. B 36:5388 (1987); see also T. R. Kirkpatrick and D. Thirumalai,Phys. Rev. B 37:5342 (1987); T. R. Kirkpatrick and P. J. Wolynes,Phys. Rev. B 36:8552 (1987).
E. Leutheusser,J. Phys. C 15:2801, 2827 (1982).
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Yip, S. Commentary on the self-consistent mode-coupling approximation. J Stat Phys 57, 665–673 (1989). https://doi.org/10.1007/BF01022827
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DOI: https://doi.org/10.1007/BF01022827