Growth and Form: Nonlinear Aspects

Front Matter....Pages i-xii
Front Matter....Pages 1-1
Singularities in Complex Interface Dynamics....Pages 3-20
Saffman Taylor Finger Problem with Thin Film Effects....Pages 21-30
Growth of Non-Reflection Symmetric Patterns....Pages 31-41
Front Matter....Pages 43-43
An Experimental Assessment of Continuum Models of Dendritic Growth....Pages 45-56
Dendritic Solidification of Rare Gases....Pages 57-66
Light Scattering Experiments during the Freezing and Melting Transition....Pages 67-77
Sidebranching of Xenon Dendrites....Pages 79-85
Experimental Determination of Rapid Dendrite Growth Velocities in Largely Undercooled Metals....Pages 87-94
Dendrites Growing in the Presence of an External Flow: The Cases of PVA and NH 4 Br....Pages 95-98
Dendritic Growth of NH 4 Cl: Nucleation, Boundary Conditions, Periodic and Aperiodic Morphologies....Pages 99-108
Anisotropic Ordered Phases in Langmuir Monolayers....Pages 109-118
Front Matter....Pages 119-119
A Numerical Analysis of Dendritic and Cellular Growth of a Pure Material Investigating the Transition from ‘Array’ to ‘Isolated’ Growth....Pages 121-139
Cell Shapes and Wavelength Selection in Directional Solidification....Pages 141-146
Deep Cells in Directional Solidification....Pages 147-156
Cellular Profiles in Directional Solidification: Is the Saffman-Taylor Branch of Solutions the Physically Relevant One?....Pages 157-165
Pattern Formation in Directional Solidification....Pages 167-175
Directional Growth of a Faceted Smectic B Plastic Crystal....Pages 177-185
Facetting of Weakly Anisotropic Materials....Pages 187-199
Directional Growth of Lamellar Eutectics....Pages 201-209
Array Disorder, Pattern Selection and Local Dendritic Transition in Cellular Directional Solidification....Pages 211-220
Front Matter....Pages 221-221
Sounds and Flames....Pages 223-232
Experimental Investigation of Acoustic Instabilities in Laminar Premixed Flames....Pages 233-244
Sound Generated by Cellular Flames....Pages 245-252
Simulation of Flame Fronts by Sources of Fluid Volume....Pages 253-259
Front Matter....Pages 261-261
Vortex Interactions in the Complex Ginzburg-Landau Equation....Pages 263-270
Velocity Selection in Two-Dimensional Excitable Media: From Spiral Waves to Retracting Fingers....Pages 271-283
Steadily Rotating Spirals in Excitable Media....Pages 285-294
Front Matter....Pages 295-295
Diffusion Controlled Growth Phenomena: From Smooth Interfaces to Fractal Structures....Pages 297-315
Competing Structures in DLA and Viscous Fingering....Pages 317-327
Experimental Evidence for Spatio-Temporal Chaos in Diffusion-Limited Growth Phenomena....Pages 329-343
Why Nature makes Fractals....Pages 345-359
Crack Formation: Crossovers between Different Growth Regimes and Critical Behavior....Pages 361-367
Theoretical Models for Crystal Growth from Atom Beams....Pages 369-383
Scaling and a Possible Phase Transition in Models for Thin Film Growth....Pages 385-391
Inhomogeneous Growth of Rough Surfaces....Pages 393-402
Crossover Phenomena in Kinetic Roughening....Pages 403-411
Front Matter....Pages 413-413
Three Short Stories on Chiral Structures in Condensed Matter....Pages 415-429
On the Growth and Form of Dislocation Patterns....Pages 431-439
Rayleigh-Taylor Instability of a Thin Layer....Pages 441-451
Stable Laws in Breath Figures on a One-Dimensional Substrate....Pages 453-455
Front Matter....Pages 413-413
Ordering Process in the Diffusively Coupled Logistic Lattice....Pages 457-464
Fractional Statistic and Planar Brownian Winding....Pages 465-472
Crystallization and Convection in Cooling Magma Chambers....Pages 473-482
Nonlinear Systems far from Equilibrium and Missing Route to “Living State”....Pages 483-490
Back Matter....Pages 491-495