Scaling and Disordered Systems : International Workshop and Collection of Articles Honoring Professor Antonio Coniglio on the Occasion of His 60th Birthday

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Format: Hardcover
Pub. Date: 2002-07-01
Publisher(s): WORLD SCIENTIFIC PUB CO INC
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Summary

Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems.This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.

Table of Contents

Preface
Curriculum Vitae
Program of the Workshop
Fractal Dimensions and Corrections to Scaling for Critical Potts Clustersp. 3
Complex Viscoelastic Behaviour at the Sol-Gel Transitionp. 9
Scaling and Finite-Size Effects for the Critical Backbonep. 19
Roughening Transition in Branching Polymersp. 29
Percolation and Critical Phenomena of an Attractive Micellar Systemp. 37
Thermally Diluted Ising Systemsp. 53
Critical Fluctuations in the Breakdown of Disordered Systemsp. 67
Critical Fluctuations in 2D XY Magnetsp. 73
Compaction of Granular Matter: A Short Review, and the Random Tetris Modelp. 83
Why Conductivity Decreases with Pressure in Ion-Doped Polymersp. 93
Dynamical Non-Linear Susceptibility of the Quenched and Annealed Frustrated Lattice Gas Modelsp. 99
Lack of Equilibration in a Model for Continuously Supercooled Liquidsp. 109
Effects of an Imposed Flow on Phase-Separating Binary Mixturesp. 119
Fast Relaxation Time in a Spin Model with Glassy Behaviorp. 129
Molecular-Dynamics Studies of Biatomic Supercooled Liquids: Intermittency, Stick-Slip Transition and the Breakdown of the Stokes-Einstein Lawsp. 139
Vortex Matter Out of Equilibriump. 149
On the Statistical Properties of the Large Time Zero Temperature Dynamics of the SK Modelp. 161
The Relationship Between the Scaling Parameter and Relaxation Time for Non-Exponential Relaxation in Disordered Systemsp. 173
Slow Dynamics, Aging and History-Dependent Effects in the Parking-Lot Modelp. 185
Standard Scaling and Multiscaling in Phase Ordering Dynamicsp. 197
Scaling in the Atmosphere: On Global Laws of Persistence and Tests of Climate Modelsp. 205
Nonlinear Relaxation in Population Dynamicsp. 217
Scaling Behaviour of a Multiply Connected Fluctuating Interface in Two Dimensionsp. 227
Multilineal Random Patterns Evolving Subdiffusively in Square Latticep. 233
How to Become a Dictator: A Simple Model from Physicsp. 243
On Fractional Relaxationp. 251
Stripe Patterns in Self-Stratification Experimentsp. 259
Scaling in Cosmic Structuresp. 271
Revisiting the Derivation of the Fractional Diffusion Equationp. 281
Learning in an Oscillatory Cortical Modelp. 291
Fluid Flow Through Disordered Porous Mediap. 301
Sociophysics - A Review of Recent Monte Carlo Simulationsp. 313
Remarks on the Nonuniversality of Boltzmann-Gibbs Statistical Mechanicsp. 319
Effect of Damage on the Roughness of Planar Cracks: The Case of the Random Fuse Modelp. 327
Author Indexp. 333
Table of Contents provided by Blackwell. All Rights Reserved.

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