Collective Dynamics of Nonlinear and Disordered Systems

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Springer Science & Business Media, Jan 12, 2005 - Science - 378 pages
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Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

 

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Contents

Kinetic Pattern Formation at Solid Surfaces
5
Nonlinear Dynamics and Pattern Formation in Semiconductor Systems
39
Group Theoretic Methods in the Theory of Pattern Formation
61
Consequences for Dynamic Features
85
Dynamics of Disordered Systems
121
Introduction to Part II
123
Glass Transition in Colloids and Undercooled Liquids
125
Experimental Investigations of Collective Excitations in Disordered Matter
147
Nonlinear Dynamics in Aperiodic Crystals
237
Complex and Chaotic Behaviour
267
Introduction to Part III
269
Disordered Dynamical Systems
271
Lyapunov Instability of Fluids
301
On Symbolic Dynamics of SpaceTime Chaotic Models
339
Complex Adaptive Systems
359
Index
371

Theories of the Structural Glass Transition
171
Glassy Dynamics and Aging in Disordered Systems
203

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About the author (2005)

RAINER KLAGES, lecturer in applied mathematics at the Queen Mary University of London, studied physics and philosophy at the Technical University of Berlin. His research stations were Maryland/USA, Budapest, Brussels, and Dresden and his main research interests are nonlinear dynamics, complex systems, and nonequilibrium statistical mechanics.
GUNTER RADONS holds the Chair for theoretical physics, complex systems and nonlinear dynamics at the Institute of Physics, Chemnitz University of Technology. His main research interests are theoretical foundations of complex systems, data analysis and modelling, applications in natural sciences and engineering.
IGOR M. SOKOLOV holds the Chair for statistical physics and nonlinear dynamics at the Institute of Physics, Humboldt-University at Berlin. His main research interests cover statistical physics as well as physical chemistry of condensed and soft matter, especially problems regarding disordered systems and polymers.

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