Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

ISBN-13: 9780199235346 / Angielski / Twarda / 2009 / 656 str.

Wolfgang Gotze

Opis

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.

O autorze

Wolfgang Götze Emeritus Professor Physics Department Technical University of Munich ; 1955 till 1961 study of physics, Humboldt University, Berlin and Free University, Berlin 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