Ebook: Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and Waves Proceedings of the Second Woodward Conference San Jose State University November 17–18, 1989

Structures in Nature are ubiquitous and fascinating. In natural and mathematical systems nonlinear structures, roughly speaking, are those resulting from nonlinear equations, the investigation of which forms a large and integral part of the new branch of science-the nonlinear science. Like nonlinear science in general, non­ linear structures is a truly interdisciplinary subject which involves physicists, chemists, biologists, material scientists, mathematicians, engineers, etc. In view of the recent rapid developments in this subject and the existence of a converging picture which acts to unify some of the previously considered separate subfields of research, we think it is time to bring together various experts to exchange ideas and share their newest findings. The Second Woodward Confer­ ence afforded us a chance to do exactly this. Accordingly, this second conference in the series was devoted to the subject of Nonlinear Structures in Physical Sys­ tems: Pattern Formation, Chaos and Waves, and was held at San Jose State Uni­ versity on November 17-18, 1989.

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The Second Woodward Conference, held November 17-18, 1989 at San Jose State University, brought together pioneers and experts from a number of different disciplines to discuss problems involving nonlinear structures in physical systems, with emphasis on pattern formation, chaos and waves. These proceedings contain results of interest to workers in physics, chemistry, biology, materials science and mathematics. Topics discussed include: - pattern formation of bubbles, viscous fingers, electrodeposits, solidifications, chemical systems and frustrated systems - chaos, self-organized criticality and complex systems - convection and traveling waves in simple and com- plex liquids - nonlinear structures in materials such as magnetic systems, polymers, fluid dispersions, and glassy and solid thin films - other nonlinear structures in plasmas, premixed flames, biological systems etc.

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The Second Woodward Conference, held November 17-18, 1989 at San Jose State University, brought together pioneers and experts from a number of different disciplines to discuss problems involving nonlinear structures in physical systems, with emphasis on pattern formation, chaos and waves. These proceedings contain results of interest to workers in physics, chemistry, biology, materials science and mathematics. Topics discussed include: - pattern formation of bubbles, viscous fingers, electrodeposits, solidifications, chemical systems and frustrated systems - chaos, self-organized criticality and complex systems - convection and traveling waves in simple and com- plex liquids - nonlinear structures in materials such as magnetic systems, polymers, fluid dispersions, and glassy and solid thin films - other nonlinear structures in plasmas, premixed flames, biological systems etc.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Bubbles and Fingers in Hele-Shaw Cells....Pages 3-10
Pattern Formation in Electrodeposits....Pages 11-31
Experiments on Electrodeposit Patterns....Pages 32-49
Alloy Solidification as a Nonquilibrium Pattern-Forming Systm....Pages 50-55
Wavelength Selection and Hidden Ramps in Directional Solidification....Pages 56-67
Patterns in Directional Solidification....Pages 68-73
Stability Analysis of Diffusion-Controlled Growth: Onset of Instabilities and Breakdown of the Linear Regime....Pages 74-78
Static and Dynamic Patterns in Three-Dimensional Equilibrium and Nonequilibrium Systems....Pages 79-86
Pattern Formation in Chemical Systems....Pages 87-102
Effects of Frustration: A Computational Study....Pages 103-110
Front Matter....Pages 111-111
Predicting Earthquakes....Pages 113-118
Information and Its Metric....Pages 119-130
Random and Chaotic Time Series Analysis: Minimum Phase-Volume Deconvolution....Pages 131-134
Sudden Jumps in the Logistic Map with Periodic Modulation: Theory and Experiment....Pages 135-144
Front Matter....Pages 145-145
Patterns and Dynamics in Traveling-Wave Convection....Pages 147-165
A Laboratory Study of Planetary-Type Jets in a Rotating Annulus....Pages 166-172
Pattern Selection in Rotating Convection....Pages 173-180
Dynamics of a Moving Nematic-Isotropic Interface....Pages 181-183
Lagrangian Particle Kinematics in Three-Dimensional Convection....Pages 184-191
A Coupled-Map Lattice for Simulating Waves in Excitable Media....Pages 192-197
Front Matter....Pages 199-199
Nonlinear Dynamics of Domain Walls and Vortices in Two-Dimensional Systems....Pages 201-213
Dynamics of Cellular Magnetic Domain Patterns....Pages 214-222
Fractal Structure in Physical Space in the Dispersal of Particles in Fluids....Pages 223-231
Self-Assembly and Diffusion in Chain Molecules, Including First Super-Strong Polymers....Pages 232-246
Dynamics and Macroscopic Rigidity in Glassy Thin-Films....Pages 247-252
Growth and Erosion of Thin Solid Films....Pages 253-260
Hole Dynamics in a Quantum Antiferromagnet: Slave-Boson Generalized Flux States....Pages 261-270
Front Matter....Pages 271-271
Persistence of Nonlinear Structures in Plasmas....Pages 273-283
The Shapes of Random Walks with Fixed End-to-End Distance....Pages 284-292
Nonlinear Polymer Diffusion with Interchange Reactions....Pages 293-298
Dynamics of Premixed Flames....Pages 299-304
On Perturbation Techniqes in a Model Case from Planetary Waves Theory....Pages 305-310
Transition Layer Dynamics....Pages 311-320
Bifurcation Analysis of the Eckhaus Instability....Pages 321-324
Degeneracy and Asymmetry in Biology....Pages 325-330
Back Matter....Pages 331-331

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The Second Woodward Conference, held November 17-18, 1989 at San Jose State University, brought together pioneers and experts from a number of different disciplines to discuss problems involving nonlinear structures in physical systems, with emphasis on pattern formation, chaos and waves. These proceedings contain results of interest to workers in physics, chemistry, biology, materials science and mathematics. Topics discussed include: - pattern formation of bubbles, viscous fingers, electrodeposits, solidifications, chemical systems and frustrated systems - chaos, self-organized criticality and complex systems - convection and traveling waves in simple and com- plex liquids - nonlinear structures in materials such as magnetic systems, polymers, fluid dispersions, and glassy and solid thin films - other nonlinear structures in plasmas, premixed flames, biological systems etc.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Bubbles and Fingers in Hele-Shaw Cells....Pages 3-10
Pattern Formation in Electrodeposits....Pages 11-31
Experiments on Electrodeposit Patterns....Pages 32-49
Alloy Solidification as a Nonquilibrium Pattern-Forming Systm....Pages 50-55
Wavelength Selection and Hidden Ramps in Directional Solidification....Pages 56-67
Patterns in Directional Solidification....Pages 68-73
Stability Analysis of Diffusion-Controlled Growth: Onset of Instabilities and Breakdown of the Linear Regime....Pages 74-78
Static and Dynamic Patterns in Three-Dimensional Equilibrium and Nonequilibrium Systems....Pages 79-86
Pattern Formation in Chemical Systems....Pages 87-102
Effects of Frustration: A Computational Study....Pages 103-110
Front Matter....Pages 111-111
Predicting Earthquakes....Pages 113-118
Information and Its Metric....Pages 119-130
Random and Chaotic Time Series Analysis: Minimum Phase-Volume Deconvolution....Pages 131-134
Sudden Jumps in the Logistic Map with Periodic Modulation: Theory and Experiment....Pages 135-144
Front Matter....Pages 145-145
Patterns and Dynamics in Traveling-Wave Convection....Pages 147-165
A Laboratory Study of Planetary-Type Jets in a Rotating Annulus....Pages 166-172
Pattern Selection in Rotating Convection....Pages 173-180
Dynamics of a Moving Nematic-Isotropic Interface....Pages 181-183
Lagrangian Particle Kinematics in Three-Dimensional Convection....Pages 184-191
A Coupled-Map Lattice for Simulating Waves in Excitable Media....Pages 192-197
Front Matter....Pages 199-199
Nonlinear Dynamics of Domain Walls and Vortices in Two-Dimensional Systems....Pages 201-213
Dynamics of Cellular Magnetic Domain Patterns....Pages 214-222
Fractal Structure in Physical Space in the Dispersal of Particles in Fluids....Pages 223-231
Self-Assembly and Diffusion in Chain Molecules, Including First Super-Strong Polymers....Pages 232-246
Dynamics and Macroscopic Rigidity in Glassy Thin-Films....Pages 247-252
Growth and Erosion of Thin Solid Films....Pages 253-260
Hole Dynamics in a Quantum Antiferromagnet: Slave-Boson Generalized Flux States....Pages 261-270
Front Matter....Pages 271-271
Persistence of Nonlinear Structures in Plasmas....Pages 273-283
The Shapes of Random Walks with Fixed End-to-End Distance....Pages 284-292
Nonlinear Polymer Diffusion with Interchange Reactions....Pages 293-298
Dynamics of Premixed Flames....Pages 299-304
On Perturbation Techniqes in a Model Case from Planetary Waves Theory....Pages 305-310
Transition Layer Dynamics....Pages 311-320
Bifurcation Analysis of the Eckhaus Instability....Pages 321-324
Degeneracy and Asymmetry in Biology....Pages 325-330
Back Matter....Pages 331-331
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