Scaling Phenomena in Disordered SystemsThis 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. |
Contents
1 | |
13 | |
Growth by Particle Aggregation | 31 |
The Interplay | 49 |
Scaling Properties of Cluster and Particle Aggregation | 71 |
A Fractal Model for Charge Diffusion Across | 79 |
A Reversible Reaction Limiting Step in Irreversible | 99 |
Neutron and XRay Scattering from Aggregates | 133 |
Excitations ofon Fractal Networks | 335 |
Low Frequency Dynamics of Dilute Antiferromagnets | 361 |
Grassmann Path Integral Approach to TwoDimensional | 371 |
Geometry and Dynamics of Fractal Systems | 375 |
Nonlinear Resitor Fractal Networks | 390 |
Elasticity and Percolation | 397 |
The Random Field Ising Model | 423 |
Metastability and a Temporal Phase | 449 |
Neutron and XRay Studies of Interfaces | 141 |
Light Scattering Experiments in a Gel Saturated with | 151 |
Metastability and Landau Theory for Random Fields | 163 |
Scaling in Colloid Aggregation | 171 |
Possible Fractal Structure of Cement Gels | 189 |
Icosahedral Incommensurate Crystals | 197 |
Growth of Domains and Scaling in the Late Stages | 207 |
Scaling Relations | 231 |
A Stochastic Model of Spin Glass Dynamics | 243 |
Cellular Automata and Condensed Matter Physics | 249 |
Fractal Geometry of Percolation in Thin Gold Films | 279 |
Anomalous Diffusion on Percolating Clusters | 289 |
Magnetic Properties near Percolation | 301 |
Fractal Properties of Disordered Surfaces and | 307 |
Spin Dynamics on Percolating Networks | 461 |
Scaling in Polymer Physics | 483 |
Dynamical Scaling in Polymer Solutions | 491 |
Scaling Description of Polymerization Kinetics | 507 |
Swelling of Branched Polymers | 519 |
Simulations of Polymers in Confined Geometries | 525 |
A Survey | 537 |
Ergodic Renormalization and Universal | 549 |
Computable Chaotic Orbits of Ergodic | 555 |
Fractal Structure of Subharmonic Steps in Dissipative | 563 |
577 | |
578 | |
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Common terms and phrases
aggregation Aharony attractor automata average behavior binary bonds calculated cellular automaton chain colloid concentration configurations Coniglio constant correlation function correlation length critical exponents crossover curve density dependence Dept described diffusion dilute dimensionality discussed distribution domain domain wall dynamics effects electronic energy equation Euclidean experimental experiments Figure finite fluid fractal dimension fracton frequency Gennes growth hydrodynamic radius infinite cluster interaction interface Ising model kinetics lattice length scale Lett light scattering limit linear magnetic Meakin measurements monomers neutron scattering obtained Orbach parameter particles pattern percolation cluster percolation threshold phase phonon Physics plot polymer power law probability problem properties random field random walk regime relation rule sample scattering intensity self-similar shown simulations Smoluchowski solution space spin Stanley structure surface symmetry temperature theory transition viscosity zero