Scaling Phenomena in Disordered Systems

This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec­ ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling.

Random Fractuals: Characterization and Measurement.- to Scaling Concepts.- Growth by Particle Aggregation.- Fractal Concepts for Disordered Systems: The Interplay of Physics and Geometry.- Scaling Properties of Cluster and Particle Aggregation.- A Fractal Model for Charge Diffusion Across a Rough Interface.- Applications of Scaling and Disorderly Growth Phenomena to Oil Recovery.- A Reversible Reaction Limiting Step in Irreversible Immunoglobulin Aggregation.- Neutron and X-Ray Scattering from Aggregates.- Neutron and X-Ray Studies of Interfaces.- Light Scattering Experiments in a Gel Saturated with a Liquid Mixture.- Binary Fluid Phase Separation in Gels: A Neutron Scattering Study.- Metastability and Landau Theory for Random Fields and Demixing in Porous Media.- Scaling in Colloid Aggregation.- Possible Fractal Structure of Cement Gels.- Diffraction on Fractals.- Icosahedral Incommensurate Crystals.- Growth of Domains and Scaling in the Late Stages of Phase Separation and Diffusion-Controlled Ordering Phenomena.- First Order Phase Transformations: Scaling Relations for Grain Self-Correlation Functions.- Dynamical Scaling in a Model Structural Glass.- A Stochastic Model of Spin Glass Dynamics.- Cellular Automata and Condensed Matter Physics.- Fractal Geometry of Percolation in Thin Gold Films.- Anomalous Diffusion on Percolating Clusters.- Magnetic Properties near Percolation.- Fractal Properties of “Disordered Surfaces” and the Termite Problem.- Excitations of/on Fractal Networks.- Low Frequency Dynamics of Dilute Antiferromagnets at Percolation.- Phonon-Fracton Crossover on Fractal Lattices.- Grassmann Path Integral Approach to Two-Dimensional Percolation Near the Critical Point.- Geometry and Dynamics of Fractal Systems.- Quantum Percolation.- Nonlinear ResitorFractal Networks.- Elastic Properties of Random Systems.- Elasticity and Percolation.- Scaling Concepts in Porous Media.- The Random Field Ising Model.- Metastability and a Temporal Phase Transition in the Random Field Ising Model.- Magnetic Excitation in K2CoxFe1?xF4: A Mixed Magnetic System withxCompeting Spin Anisotropies.- Spin Dynamics on Percolating Networks.- Dilution-Induced Critical Dynamics.- Scaling in Polymer Physics.- Dynamical Scaling in Polymer Solutions.- Scaling Description of Polymerization Kinetics.- Swelling of Branched Polymers.- Simulations of Polymers in Confined Geometries.- The Dimensions of Strange Attractors: A Survey of Experimental Studies.- Ergodic Renormalization and Universal Strange Attractors.- Computable Chaotic Orbits of Ergodic Dynamical Systems.- Fractal Structure of Subharmonic Steps in Dissipative Systems Described by a Driven Damped Pendulum Equation.- Participants.