Instabilities and Nonequilibrium Structures V

by E. Tirapegui (Editor), W. Zeller (Editor)

Overview

This volume contains a selection of the lectures given at the Fifth International Workshop on Instabilities and Nonequilibrium Structures, held in Santiago, Chile, in December 1993. The following general subjects are covered: instabilities and pattern formation, shastic effects in nonlinear systems, nonequilibrium statistical mechanics and granular matter. Review articles on transitions between spatio-temporal patterns and nonlinear wave equations are also included.
Audience: This book should appeal to physicists and mathematicians working in the areas of nonequilibrium systems, dynamical systems, pattern formation and partial differential equations. Chemists and biologists interested in self-organization and statistical mechanics should also be interested, as well as engineers working in fluid mechanics and materials science.

Product Details

ISBN-13:	9789401065900
Publisher:	Springer Netherlands
Publication date:	09/28/2011
Series:	Nonlinear Phenomena and Complex Systems , #1
Edition description:	Softcover reprint of the original 1st ed. 1996
Pages:	369
Product dimensions:	6.30(w) x 9.45(h) x 0.03(d)

Table of Contents

Preface.- Preface.- I. Review Articles.- Transitions between Spatio-Temporal Patterns in Non Equilibrium Systems.- Galilean and Relativistic Nonlinear Wave Equations: An Hydrodynamical Tool?.- II. Instabilities and Pattern Formation.- Chaotically Induced Defect Diffusion.- Pattern Formation and Phase Turbulence in the Transverse Section of Lasers.- Long Wavelength Oscillatory Instability in Binary Fluids.- Multiple Front Propagation in a Potential Non-Gradient System.- Pattern Selection and Diffusive Instability.- Monotonic Fronts of the Reaction-Diffusion Equation in one Space Dimension.- Poiseuille Flux of Hard Particles: Theory and Simulations.- Stationary Convection due to Resistivity and Viscosity in a Cylindrical Plasma with a Free Boundary.- Ginzburg-Landau Equations for Oscillatory Convection in Oldroyd-B Fluids.- Laser Model with Periodic External Injected Signal and Noise: Small Net Gain Limit.- Flow Transitions in Rayleigh-Benard Convection: Influence of Heating Rate.- III. Shastic Effects.- Noise Induced Phase Transitions.- Competitive Coexistence in Biological Systems: Exact Analytical Results through a Quantum Mechanical Analogy.- Effects of Disorder on Reaction-Diffusion Systems: An Analytical Approach.- Concerning the Noise Strength in Periodically driven Pattern Convection.- Quasi-Stationary Distribution and Gibbs Measure of Expanding Systems.- Detailed Balance and Reversed Process for Macroscopic Systems.- IV. Statistical Mechanics and Applications.- Substancial Irreversibility in Quantum Cosmology.- Generalized Spectral Decompositions for a Class of One-Dimensional Chaotic Maps.- Two-Photon Micromaser: From Trapping to Ideal Sqeezed States.- Thermodynamic Instabilities in Quantum Liquids.- Construction of Hamiltonian Structures for Dynamical Systems from Scratch.- V. Granular Matter.- A Visit of Granular Matter.- A Dissipative Model for Parametric Waves in Granular Materials.- Simple Models for Fragmentation.- VI. Short Communications.- Chaos and Three-Frequency Resonances in a Dynamical System.- Shape Transition in a Two-Dimension System of Bubbles.- Nonlinear Behavior and Trapped Dynamics in the Micromaser.- Analytical Study of the Codimension Two Bifurcations of the New Lorenz System.- A New Basis of Wavelets for Studying Three Periodic Attractors.- Trehalose in Solution and Its Interaction with Water and Biological Structures. Molecular Dynamics Simulation.