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The book contains the only available complete presentation of the mode-coupling theory (MCT) of complex dynamics of glass-forming liquids, dense polymer melts, and colloidal suspensions. It describes in a self-contained manner the derivation of the MCT equations of motion and explains that the latter define a model for a statistical description of non-linear dynamics.It is shown that the equations of motion exhibit bifurcation singularities,
which imply the evolution of dynamical scenarios different from those studied in other non-linear dynamics theories. The essence of the scenarios is explained by the asymptotic solution theory of the
equations of motion. The leading-order results deal with scaling laws and the range of validity of these general laws is obtained by the derivation of the leading-correction results.Comparisons of numerical solutions of the MCT equations of motion with the results of the analytic results of the asymptotic analysis demonstrate various facets of the MCT dynamics. Some comparisons of MCT results with data are used to show the relevance of MCT for the discussion of amorphous
matter dynamics.
Author Biography
Wolfgang Götze
Emeritus Professor
Physics Department
Technical University of Munich
1963 Ph.D.in Physics, Technical University, Munich
1964 till 1970 Scientific Coworker at Max-Planck Institute for Physics and Astrophysics, Munich
1966 till 1967 Research Associate, Physics Department, University of Illinois, Urbana, USA
Since 1970 Professor for Theoretical Physics, Technical University Munich
Since 2003 Emeritus
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