An Introduction to Nonlinear Chemical Dynamics : Oscillations, Waves, Patterns, and Chaos: Oscillations, Waves, Patterns, and Chaos (Google eBook)
Irving R. Epstein Helena Rubinstein Professor of Chemistry, John A. Pojman Professor of Chemistry and Biochemistry University of Southern Mississippi
Oxford University Press, USA, Sep 28, 1998 - Science - 408 pages
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
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Adapted analysis approach attractor autocatalytic Belousov-Zhabotinsky Reaction bifurcation bistable bromate bromide BZ reaction BZ system calculated cell chaos chaotic Chapter chemical oscillators chemical reactions chemical systems chemical waves chlorite chlorite-iodide reaction complex convection coupled oscillators coupling CSTR curve decrease delay described differential equations diffusion effects electrode Epstein equilibrium example experimental experiments feedback ferroin flow rate front front velocity function gradient heat homogeneous increases iodide iodine Jacobian Kepper kinetics Lengyel malonic acid mechanism membrane microtubules mixing molecules monomer nonlinear chemical dynamics null cline observed obtain occur Orban oscilla oscillating reactions parameter particles pattern formation period perturbation phase diagram Pojman polymer polymerization potential production propagation rate constants rate law reactants region sequence shown in Figure simulation solution spatial species spiral stable steady steady-state stirring rate stoichiometry subsystems techniques temperature tion trajectory tube Turing patterns unstable variable velocity wavefront
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