Complex Dynamics of Glass-forming Liquids
A Mode-coupling Theory
By (author) Wolfgang Gotze
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Complex Dynamics of Glass-forming Liquids by Wolfgang Gotze
Book DescriptionThe 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.
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Book DetailsISBN: 9780199235346
(242mm x 164mm x 36mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 11-Dec-2008
Country of Publication: United Kingdom
Books By Author Wolfgang Gotze
Complex Dynamics of Glass-forming Liquids, Paperback (July 2012)» View all books by Wolfgang Gotze
Amorphous condensed matter can exhibit complex motions on time scales which extend up to those relevant for the functioning of biomaterials. The book presents the derivation of a microscopic theory for amorphous matter, which exhibits the evolution of such complex motions as a new paradigm of strongly interacting particle systems.
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Author Biography - Wolfgang Gotze
Wolfgang Gotze 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
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