Patterns, Defects and Materials Instabilities

1. Front Matter

   Pages i-xii

   PDF

2. One-Dimensional Cellular Patterns

   • P. Coullet, G. Iooss

   Pages 1-6

3. Defects and Defect-Mediated Turbulence

   • J. Lega

   Pages 7-24

4. Phase Dynamics — The Concept and Some Recent Developments

   • Helmut R. Brand

   Pages 25-34

5. Transient Pattern Dynamics: General Concepts and the Freedericksz Transition in Nematics

   • M. San Miguel, F. Sagues

   Pages 35-61

6. Localized Structures in Reaction-Diffusion Systems

   • G. Dewel, P. Borckmans

   Pages 63-72

7. Kinetic Models for Defect Populations in Driven Materials

   • D. Walgraef

   Pages 73-82

8. External Noise and Pattern Selection in Convectively Unstable Systems

   • Robert J. Deissler

   Pages 83-88

9. Secondary Instability of Traveling Inclined Rolls in Taylor-Dean System

   • I. Mutabazi

   Pages 89-90

10. Experiments on the Formation of Stationary Spatial Structures on a Network of Coupled Oscillators

    • T. Dirksmeyer, R. Schmeling, J. Berkemeier, H.-G. Purwins

    Pages 91-107

11. Studies on Instabilities and Patterns in Evaporating Liquids at Reduced Pressure and/or Microwave Irradiation

    • G. Bertrand, M. Lallemant, A. Steinchen, P. Gillon, P. Courville, D. Stuerga

    Pages 109-122

12. Directional Solidification: Theoretical Methods and Current Understanding

    • Herbert Levine

    Pages 123-133

13. New Instabilities in Directional Solidification of Succinonitrile

    • P. E. Cladis, J. T. Gleeson, P. L. Finn

    Pages 135-146

14. Stationnary Cells in Directional Solidification

    • M. Mashaal, M. Ben Amar

    Pages 147-157

15. Recent Progress in the Theory of the Growth of Needle Crystals

    • M. Ben Amar, Y. Pomeau

    Pages 159-183

16. Structural Invariants and the Description of the Local Structure of Condensed Matter

    • Antoni C. Mitus, Alexander Z. Patashinskii

    Pages 185-193

17. Structural Aspects of Domain Patterns in Ceramics and Alloys

    • Ch Leroux, G. Van Tendeloo, J. Van Landuyt

    Pages 195-202

18. Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering

    • P. Ortoleva, W. Chen

    Pages 203-220

19. Nonlinearity and Selforganization in Plasticity and Fracture

    • E. C. Aifantis

    Pages 221-239

20. Plastic Instabilities and the Deformation of Metals

    • H. Neuhäuser

    Pages 241-276

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 .

• Simulation
• alloy
• ceramics
• crystal
• linearity
• liquid
• plasticity

• Service de Chimie Physique, Université Libre de Bruxelles, Brussels, Belgium

  D. Walgraef

• Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, USA

  N. M. Ghoniem

Policies and ethics