Ebook: Patterns, Defects and Materials Instabilities

Understanding the origin of spatio-temporal order in open systems far from thermal equilibrium and the selection mechanisms of spatial struc­ tures and their symmetries is a major theme of present day research into the structures of continuous matter. The development of methods for pro­ ducing spatially ordered microstructures in solids by non-equilibrium methods opens the door to many technological applications. It is also be­ lieved that the key to laminar/turbulence transitions in fluids lies in the achievement of spatio-temporal order. Let us also emphasize the fact that the idea of self-organization in it­ self is at the origin of a reconceptualisation of science. Indeed, the appear­ ance of order which usually has been associated with equilibrium phase transitions appears to be characteristic of systems far from thermal equi­ librium. This phenomenon which was considered exceptional at first now the rule in driven systems. The chemical oscillations obtained appears to be in the Belousov-Zhabotinskii reaction were initially considered to be ther­ modynamically impossible and were rejected by a large number of chemists. Now these oscillations and related phenomena (waves, chaos, etc. ) are the subject of intensive research and new classes of chemical oscil­ lators have been recently discovered. Even living organisms have long been considered as the result of chance rather than necessity. Such points of view are now abandoned under the overwhelming influence of spatio-tem­ poral organization phenomena in various domains ranging from physics to biology via chemistry, nonlinear optics, and materials science .

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Content:
Front Matter....Pages i-xii
One-Dimensional Cellular Patterns....Pages 1-6
Defects and Defect-Mediated Turbulence....Pages 7-24
Phase Dynamics — The Concept and Some Recent Developments....Pages 25-34
Transient Pattern Dynamics: General Concepts and the Freedericksz Transition in Nematics....Pages 35-61
Localized Structures in Reaction-Diffusion Systems....Pages 63-72
Kinetic Models for Defect Populations in Driven Materials....Pages 73-82
External Noise and Pattern Selection in Convectively Unstable Systems....Pages 83-88
Secondary Instability of Traveling Inclined Rolls in Taylor-Dean System....Pages 89-90
Experiments on the Formation of Stationary Spatial Structures on a Network of Coupled Oscillators....Pages 91-107
Studies on Instabilities and Patterns in Evaporating Liquids at Reduced Pressure and/or Microwave Irradiation....Pages 109-122
Directional Solidification: Theoretical Methods and Current Understanding....Pages 123-133
New Instabilities in Directional Solidification of Succinonitrile....Pages 135-146
Stationnary Cells in Directional Solidification....Pages 147-157
Recent Progress in the Theory of the Growth of Needle Crystals....Pages 159-183
Structural Invariants and the Description of the Local Structure of Condensed Matter....Pages 185-193
Structural Aspects of Domain Patterns in Ceramics and Alloys....Pages 195-202
Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering....Pages 203-220
Nonlinearity and Selforganization in Plasticity and Fracture....Pages 221-239
Plastic Instabilities and the Deformation of Metals....Pages 241-276
Dislocation Patterns and Plastic Instabilities....Pages 277-301
Numerical Simulation 0f Dislocation Patterns during Plastic Deformation....Pages 303-329
Pattern Formation during CW Laser Melting of Silicon....Pages 331-346
Irradiation-Induced Cavity Lattice Formation in Metals....Pages 347-370
The Formation of Clusters of Cavities during Irradiation....Pages 371-380
A Mesoscopic Theory of Irradiation-Induced Void-Lattice Formation....Pages 381-382
Back Matter....Pages 383-393

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Content:
Front Matter....Pages i-xii
One-Dimensional Cellular Patterns....Pages 1-6
Defects and Defect-Mediated Turbulence....Pages 7-24
Phase Dynamics — The Concept and Some Recent Developments....Pages 25-34
Transient Pattern Dynamics: General Concepts and the Freedericksz Transition in Nematics....Pages 35-61
Localized Structures in Reaction-Diffusion Systems....Pages 63-72
Kinetic Models for Defect Populations in Driven Materials....Pages 73-82
External Noise and Pattern Selection in Convectively Unstable Systems....Pages 83-88
Secondary Instability of Traveling Inclined Rolls in Taylor-Dean System....Pages 89-90
Experiments on the Formation of Stationary Spatial Structures on a Network of Coupled Oscillators....Pages 91-107
Studies on Instabilities and Patterns in Evaporating Liquids at Reduced Pressure and/or Microwave Irradiation....Pages 109-122
Directional Solidification: Theoretical Methods and Current Understanding....Pages 123-133
New Instabilities in Directional Solidification of Succinonitrile....Pages 135-146
Stationnary Cells in Directional Solidification....Pages 147-157
Recent Progress in the Theory of the Growth of Needle Crystals....Pages 159-183
Structural Invariants and the Description of the Local Structure of Condensed Matter....Pages 185-193
Structural Aspects of Domain Patterns in Ceramics and Alloys....Pages 195-202
Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering....Pages 203-220
Nonlinearity and Selforganization in Plasticity and Fracture....Pages 221-239
Plastic Instabilities and the Deformation of Metals....Pages 241-276
Dislocation Patterns and Plastic Instabilities....Pages 277-301
Numerical Simulation 0f Dislocation Patterns during Plastic Deformation....Pages 303-329
Pattern Formation during CW Laser Melting of Silicon....Pages 331-346
Irradiation-Induced Cavity Lattice Formation in Metals....Pages 347-370
The Formation of Clusters of Cavities during Irradiation....Pages 371-380
A Mesoscopic Theory of Irradiation-Induced Void-Lattice Formation....Pages 381-382
Back Matter....Pages 383-393
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