Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory by Wolfgang GotzeComplex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory by Wolfgang Gotze

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

byWolfgang Gotze

Hardcover | December 11, 2008

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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 thatthe 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. Theleading-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 matterdynamics.
Wolfgang Gotze Emeritus Professor Physics Department Technical University of Munich 1955 till 1961 study of physics, Humboldt University, Berlin and Free University, Berlin 1963 Physics, Technical University, Munich 1964 till 1970 Scientific Coworker at Max-Planck Institute for Physics and Astrophysics, Munich 196...
Title:Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling TheoryFormat:HardcoverDimensions:656 pages, 9.21 × 6.14 × 0.06 inPublished:December 11, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199235341

ISBN - 13:9780199235346

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Table of Contents

1. Glassy dynamics of liquids2. Correlation functions3. Elements of liquid dynamics4. Foundations of the mode-coupling theory5. Extensions of the mode-coupling theory6. Asymptotic relaxation lawsAppendices