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

Wolfgang Götze

Abstract

The book presents a self-contained exposition of the mode-coupling theory for the evolution of glassy dynamics in liquids. This theory is based on polynomial expressions for the correlations of force fluctuations in terms of those of density fluctua-tions. These mode-coupling polynomials are motivated as descriptions of the cage-effect-induced transient localization of particles in condensed matter. It is proven that the implied regular mode-coupling equations of motion determine uniquely models for a correlation-function description of the dynamics. This holds for all choices of the polynomia ... More

Keywords: glassy dynamics, mode-coupling polynomial, cage effect, localization, bifurcation singularities, glass transitions, mode-coupling equations of motion, leading-order asymptotic contributions

Bibliographic Information

Print publication date: 2008 Print ISBN-13: 9780199235346
Published to Oxford Scholarship Online: May 2009 DOI:10.1093/acprof:oso/9780199235346.001.0001

Authors

Affiliations are at time of print publication.

Wolfgang Götze, author
Department of Physics, Technical University of Munich