Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and Waves Proceedings of the Second Woodward Conference San Jose State University

ISBN-13: 9781461280132 / Angielski / Miękka / 2011 / 331 str.

Lui Lam; Hedley C. Morris

Opis

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."

Spis treści

I Pattern Formation.- Bubbles and Fingers in Hele-Shaw Cells.- Pattern Formation in Electrodeposits.- Experiments on Electrodeposit Patterns.- Alloy Solidification as a Nonequilibrium Pattern-Forming System.- Wavelength Selection and Hidden Ramps in Directional Solidification.- Patterns in Directional Solidification.- Stability Analysis of Diffusion-Controlled Growth: Onset of Instabilities and Breakdown of the Linear Regime.- Static and Dynamic Patterns in Three-Dimensional Equilibrium and Nonequilibrium Systems.- Pattern Formation in Chemical Systems.- Effects of Frustration: A Computational Study.- II Chaos.- Predicting Earthquakes.- Information and Its Metric.- Random and Chaotic Time Series Analysis: Minimum Phase-Volume Deconvolution.- Sudden Jumps in the Logistic Map with Periodic Modulation: Theory and Experiment.- III Convection and Waves.- Patterns and Dynamics in Traveling-Wave Convection.- A Laboratory Study of Planetary-Type Jets in a Rotating Annulus.- Pattern Selection in Rotating Convection.- Dynamics of A Moving Nematic-Isotropic Interface.- Lagrangian Particle Kinematics in Three-Dimensional Convection.- A Coupled-Map Lattice for Simulating Waves in Excitable Media.- IV Nonlinear Structures in Materials.- Nonlinear Dynamics of Domain Walls and Vortices in Two-Dimensional Systems.- Dynamics of Cellular Magnetic Domain Patterns.- Fractal Structure in Physical Space in the Dispersal of Particles in Fluids.- Self-Assembly and Diffusion in Chain Molecules, Including First Super-Strong Polymers.- Dynamics and Macroscopic Rigidity in Glassy Thin-Films.- Growth and Erosion of Thin Solid Films.- Hole Dynamics in a Quantum Antiferromagnet: Slave-Boson Generalized Flux States.- V Miscellaneous.- Persistence of Nonlinear Structures in Plasmas.- The Shapes of Random Walks with Fixed End-to-End Distance.- Nonlinear Polymer Diffusion with Interchange Reactions.- Dynamics of Premixed Flames.- On Perturbation Techniques in a Model Case from Planetary Waves Theory.- Transition Layer Dynamics.- Bifurcation Analysis of the Eckhaus Instability.- Degeneracy and Asymmetry in Biology.- Index of Contributors.

O autorze

Conference proceedings on nonlinear structures in physical systems, with emphasis on pattern formation, chaos and waves. Of interest to workers in all the natural sciences and mathematics.