Random Fluctuations and Pattern Growth: Experiments and Models

Proceedings of the NATO Advanced Study Institute, Cargèse, Corsica, France, 18-31 July, 1988

Inhalt

. Contents ..- Course 1: Random Fluctuations and Transport.- Some Themes and Common Tools.- Structure, Elasticity and Thermal Properties of Silica Networks.- Anomalous Diffusion and Fractons in Disordered Structures.- Fractons in Real Fractals.- Anomalous Transport in Disordered Structures: Effect of Additional Disorder.- Information Exponents for Transport in Regular Lattices and Fractals.- Anomalous Transport in Random Linear Structures.- Course 2: Random Growth Patterns: Aggregation.- Morphological Transitions in Pattern Growth Phenomena.- Visualization and Characterization of Microparticle Growth Patterns.- Origin of Fractal Roughness in Synthetic and Natural Materials.- Electrodeposition.- Course 3: Random Fluctuations in Fluid Systems.- Flow Patterns in Porous Media.- Viscous Fingering in a Circular Geometry.- Construction of a Radial Hele-Shaw Cell.- Growth and Viscous Fingers on Percolating Porous Media.- Structure of Miscible and Immiscible Displacement Fronts in Porous Media.- Dynamics of Invasion Percolation.- Course 4: Random Fluctuations in Liquid Crystals.- Directional Solidification of Liquid Crystals.- Interfacial Instabilities of Condensed Phase Domains in Lipid Monolayers.- Pattern Formation of Molecules Adsorbing on Lipid Monolayers.- Course 5: Random Fluctuations in "Solid" Materials.- to Dense Branching Morphology.- The Material Factors Leading to Dense Branching Morphology in Al:Ge Thin Films.- Theoretical Aspects of Polycrystalline Pattern Growth in Al/Ge Films.- Pattern Formation in Dendritic Solidification.- Relaxation of Excitations in Porous Solids.- Soap Bubbles-A Simple Model System for Solids.- Course 6: Fracture of Disordered Solids.- to Modern Ideas on Fracture Patterns.- Rupture in Random Media.- Fracture Experiments on Monolayers of Microspheres.- Simple Models for Colloidal Aggregation, Dielectric Breakdown and Mechanical Breakdown Patterns.- Dielectric Breakdown Patterns with a Growth Probability Threshold.- Course 7: Fluctuation Phenomena in Membranes and Random Surfaces.- The Statistical Mechanics of Crumpled Membranes.- Fluctuations in Fluid and Hexatic Membranes.- Unbinding Transition and Mutual Adhesion in General of DGDG Membranes.- Scaling Properties of Interfaces and Membranes.- Surfactants in Solution: An Experimental Tool to Study Fluctuating Surfaces.- Course 8: Convection, Turbulence and Multifractals.- to Convection.- Onset of Convection.- Waves and Plumes in Thermal Convection.- An Introduction to Multifractal Distribution Functions.- Multifractals in Convection and Aggregation.- Multifractal Analysis of Sedimentary Rocks.- Phase Transition on DLA.- Course 9: Random Fluctuations and Complex Systems.- Disordered Patterns in Deterministic Growth.- 1/f Versus 1/f? Noise.- A Simple Model of Molecular Evolution.- Scale Invariant Spacial and Temporal Fluctuations in Complex Systems.- The Upper Critical Dimension and ?-Expansion for Self-Organized Critical Phenomena.- Self-Organized Criticality and the Origin of Fractal Growth.- Finite Lifetime Effects in Models of Epidemics.- to Droplet Growth Processes: Simulations, Theory and Experiments.- List of Participants.