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This book contains the lectures and a selection of the seminars gi ven in the Fifth International Workshop on Instabilities and Nonequilibrium Structures which took place in Santiago, Chile, in December 1993. The Workshop was organized by Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Instituto de Fisica of Universidad Cat6lica de Valparaiso and Centro de Fisica No Lineal y Sistemas Complejos de Santiago. This volume is the first of a new series of Kluwer on Nonlinear Phenomena and Complex Systems which will be edited by the Centro de Fisica No Lineal y Sistemas Complejos de Santiago. We thank Dr. David Lamer of Kluwer for his encouragements and support for this project. ix LIST OF SPONSORS OF THE WORKSHOP Academia Chilena de Ciencias Facultad de Ciencias Fisicas y Mathematicas de la Univ. de Chile Instituto de Fisica de la Univ. Cat6lica de Valparaiso Centro de FIsica No Lineal y Sistemas Complejos de Santiago (CFNL) CONICYT (Chile) Ministere Francais des Affaires Etrangeres International Centre for Theoretical Physics (Trieste) UNESCO Fundaci6n Andes (Chile) Departamento Tecnico de Investigaci6n y de Relaciones Internationa cion ales de la Universidad de Chile IDIEM (Fac. Cs. FIs. y Mat., Univ. de Chile) CHILGENER S.A.
List 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. Stochastic 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.
