Twentieth-century research in the field of chemical pattern formation saw extraordinary progress due to the pathbreaking contributions of Nobel laureate Ilya Prigogine and his co-workers. Evidence exists that the dissipative structures studied by Prigogine and his colleagues may play a dominant role in the processes of self-organization of biological systems, the fundamental phenomena that govern all life forms.
Brought together in this valuable volume are topical papers from the this research. Important aspects of nonlinear chemical pattern formation—dissipative structures—in chemical, biochemical, and geological systems are surveyed by leading scientists in the field of nonlinear chemistry. Topics covered include experimental observations of pattern formation in a variety of systems, bifurcation theory and analysis of nonlinear chemical rate equations, and the stochastic theory of nonlinear chemical reactions. Of particular interest are the studies of the effects of electric fields on the determination of nonequilibrium states of chemical systems.
L. E. Reichl is Professor of Physics at the University of Texas at Austin. W. C. Schieve is Professor Emeritus of Physics at the University of Texas inatAustin.
List of Authors
Section A. Theory of Bifurcation Phenomena in Chemical Systems
Bifurcation Analysis of Reaction-Diffusion Equations IV. Size Dependence (Giles Auchmuty)
The Influence of Static External Fields on Far-from-Equilibrium Chemical Systems (D. K. Kondepudi)
Topological Aspects of Oscillating Chemical Reactions (R. Bruce King)
Numerical Exploration of Bifurcating Branches of Solutions to Reaction-Diffusion Equations from Immobilized Enzyme Kinetics (B. Bunow and J. P. Kernevez)
Section B. Experimental Properties of Chemical Systems
The Ferroin Catalyzed Zhabotinskii System—Experimental Aspects (M-L. Smoes)
Mechanisms of Bio- and Geo-Pattern Formation and Chemical Signal Propagation (P. Ortoleva, J. Chadam, M. El-Badewi, R. Feeney, D. Feinn, S. Haase, R. Larter, E. Merino, A. Strickholm, and S. Schmidt)
Section C. Biochemistry
Pattern Selection during Morphogenesis (J. Hiernaux and T Erneux)
Global Two-Parameter Critical Size Estimates for Symmetry-Breaking Transitions in Planar Multicellular Arrays and in Membranes (A. D. Nazarea)
Enzyme Kinetics: Stochastic vs. Deterministic Models (Thomas A. Darden)
Section D. Fluctuation Phenomena and Stochastic Theory
Inhomogeneous Fluctuations in Reaction-Diffusion Systems (M. Malek Mansour and C. van den Broeck)
Noise Induced Nonequilibrium Phase Transitions: The White and Colored Noise Case (Werner Horsthemke)
Noise and Switching in the Absorptive Optical Bistability (J. C. Englund, W. C. Schieve, R. F. Gragg, and W. Zurek)
Non-Linear Stochastic Equations: A Microscopic Point of View (José Luis del Rio and Leopoldo S. Garcia-Colin)
Noise with Finite Correlation Time and Langevin Equations (M. San Miguel and J. M. Sancho)
Theory of Extrema for Fokker-Planck and Master Equation Processes (V. Seshadri, Katja Lindenberg, and Bruce J. West)
Application of Linearization Methods to Driven Nonlinear Systems (Adi Bulsara, Katja Lindenberg, and Kurt E. Shuler)
Dynamic Behavior of Model Oscillators with Fluctuating Frequency and Fluctuating Driving Force (Katja Lindenberg, V. Seshadri, and Bruce J. West)
Anomalous Fluctuations in the Decay of an Unstable Equilibrium State (F de Pasquale, P. Tartaglia, and P. Tombesi)
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