The liquid-glass transition: a mode-coupling perspective
H Z Cummins; H Z Cummins; Physics Department, City College of the City University of New York, New York, NY l0031, USA
Журнал:
Journal of Physics: Condensed Matter
Дата:
1999-03-15
Аннотация:
We review the dynamics of supercooled liquids approaching the liquid-glass transition, starting with the conventional generalized hydrodynamics formulation. Empirical models for the memory function are discussed, as are empirical models for the self-energy function for phonons in crystals. Two examples of microscopic analyses based on non-linear interactions are then described, the anharmonic lattice dynamics model for structural phase transitions, and Kawasaki's mode-mode-coupling approach for critical dynamics. We then review the mode-coupling theory of the liquid-glass transition, emphasizing its relation to generalized hydrodynamics with the memory function derived from a microscopic theory of non-linear interactions. We discuss the major predictions of this theory, particularly the asymptotic expansion results, which provide specific formulae for analysing experimental data.
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