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

Paperback | August 15, 2012

byWolfgang Gotze

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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 thelatter 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 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.

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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 thelatter define a model for a statistical des...

Wolfgang Gotze is Professor in the Department of Physics at the Technical University of Munich in Germany.

other books by Wolfgang Gotze

Format:PaperbackDimensions:656 pages, 9.21 × 6.14 × 0.07 inPublished:August 15, 2012Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199656142

ISBN - 13:9780199656141

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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