Scaling Phenomena in Disordered Systems

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Springer Science & Business Media, Nov 21, 2013 - Technology & Engineering - 580 pages
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.
 

Contents

Characterization and Measurement
1
Introduction to Scaling Concepts
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
INDEX
577
455
578
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