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Complex Dynamics of Glass-Forming Liquids

A Mode-Coupling Theory

Wolfgang Götze (, Department of Physics, Technical University of Munich)

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English
Oxford University Press
01 July 2012
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 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.

By:  
Imprint:   Oxford University Press
Country of Publication:   United Kingdom
Volume:   143
Dimensions:   Height: 238mm,  Width: 171mm,  Spine: 37mm
Weight:   1g
ISBN:   9780199656141
ISBN 10:   0199656142
Series:   International Series of Monographs on Physics
Pages:   654
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
1: Glassy dynamics of liquids 2: Correlation functions 3: Elements of liquid dynamics 4: Foundations of the mode-coupling theory 5: Extensions of the mode-coupling theory 6: Asymptotic relaxation laws Appendices

Professor Wolfgang Götze, Department of Physics, Technical University of Munich, Germany.

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