Random Fluctuations and Pattern Growth: Experiments and Models

Inhaltsverzeichnis

• • 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 onMonolayers 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.