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These Proceedings contain invited lectures presented at the third Interna tional Conference on "Irreversible Processes and Dissipative Structures" in Kiihlungsborn (German Democratic Republic) in March, 1985. These con ferences, the first of which was held in Rostock in 1977 and the second in Berlin in 1982, are devoted to the study of irreversible processes far from thermal equilibrium and to the phenomena of selforganization. The meet ing in Kiihlungsborn brought together some 160 mathematicians, physicists, chemists and biologists from 10 countries, who are all interested in the inter disciplinary field of synergetics. The main topics of the conference were basic concepts of selforganization and evolution, such as entropy, instabilities, nucleation, dissipative struc tures, chaos and turbulence. The contributions cover methods from ther modynamics, the theory of dynamic systems, stochastic and statistic theory, the method of Green's functions, the fluctuation-dissipation theorem, etc. Several problems are studied in more detail, e.g., the kinetics of nucleation especially in finite systems, the dynamics of interfaces, reaction-diffusion sys tems, chemical and biochemical pattern formation and information process ing. Further, several contributions are devoted to the development of the concepts of chaos and turbulence. The editors hope that the contributions collected in this volume will pro vide some new information about the field of selforganization, which is in full development now.
Table des matières
I Basic Concepts.- Thermodynamic Aspects of Selforganization.- Entropy in Time Averaging..- Nucleation Theory and Dynamics of First-Order Phase Transitions in Finite System.- Dynamic Chaos in Ensembles of Structures and Spatial Development of Turbulence in Unbounded Systems.- II Stochastic and Statistic Theory.- Nonlinear Chemical Reactions in Diluted Solutions..- Stochastic Thermodynamics.- Stochastic Measures as Critical Quantities in Nonequilibrium Phase Transitions.- On the Kinetics of Nucleation in Isochoric Gases.- On the Properties of the Nonequilibrium Potential Near Bifurcation Points..- Nonlinear Fluctuation-Dissipation Models of Charge Transfer Nonequilibrium Electrical Noise and l/f-Noise..- Application of Path Integrals to Stochastic Reaction-Diffusion Equations..- The Method of Green's Functions in Nonequilibrium Statistical Mechanics..- Transport Phenomena in Many-Particle Systems and the Quantum Statistical Approach to Nonequilibrium Thermodynamics.- III Dissipative Structures.- Dynamics of Interfaces in Random Media.- Autosolitons in Active Systems with Diffusion.- Repressing of Chemical Waves by Photochemical Inhibitor Releasing.- Dynamic Patterns in Interacting Chemical Cells and Effects of External Periodic Forcing.- Pattern in Marangoni-Instability Varied by Shear Stress Between Interface and Bulk.- Ostwald Ripening in Viscoelastic Media.- Thermodynamic Parameters and Structural Criteria for Phase Transformations in Amorphous Covalent Bound Materials.- IV Evolution Processes.- Turing Structures in Cytokinesis, Mitosis and Early Embryogenesis.- Qualitative Properties of Chains as Models of Growth and Binary Coding.- A Study Program of Chaotic Dynamics Applied to Information Processing.- The Evolutionary Triad.- V Chaotic Processes.- Fully DevelopedChaos in One-Dimensional Discrete Processes.- Auto-Oscillatory Regimes in the Chain of Coupled Generators.- Universal Scaling Properties of Nonlinear Dissipative Systems.- New Aspects of Instabilities and Chaos in Laser Systems.- Complexity of Patterns Generated by One-Dimensional Cellular Automata.- Index of Contributors.
