Chemical Oscillations and Instabilities Non-linear Chemical Kinetics

by Gray, Peter; Scott, Stephen K.

• ISBN13: 9780198556466
• ISBN10: 0198556462
• Format: Hardcover
• Copyright: 1990-04-26
• Publisher: Oxford University Press

Summary

Today, scientists in many fields are expressing considerable interest in non-linearity and the ideas of oscillations and chaos. Chemical reactions provide perfect examples of these phenomena. This book is an excellent introduction to the area of nonlinear phenomena in chemical kinetics that involve chemical feedback such as chain branching, autocatalysis, and self-heating. The emphasis is on physical and pictorial representation, and on identifying those gross features which are essential. The experimental conditions under which such behavior will occur can be predicted using simple mathematical recipes, and these are also included. Readers will find full discussions of long-lived oscillations for autocatalytic or exothermic reactions in closed vessels and stationary states, bistability, and oscillations in continuous flow reactors and diffusion cells. Other topics considered include chemical wave propagation, pattern selection and formation, heterogeneous reactions, complex oscillations, quasiperiodicity, and chemical chaos, both forced and spontaneous. The second part of the book describes actual experimental systems, such as the Belousov-Zhabotinskii reaction, and include discussion of the behavior of important gas-phase reactions. This volume is an ideal sourcebook of applied problems for graduate courses in dynamical systems, advanced chemical kinetics, and chemical reactor engineering, as well as for research workers in physical chemistry, and mathematicians, biologists, physicists, and physiologists.

Table of Contents

Introduction

The Techniques

Oscillations in a Closed Isothermal System

Oscillations in a Closed Isothermal System: Mathematical Analysis

Thermokinetic Oscillations in a Closed System

Hopf Bifurcations, the Growth of Small Oscillations, Relaxation Oscillations, and Excitability

Autocatalysis in Well-Stirred Systems: the Isothermal CSTR

Reaction in a Non-Isothermal CSTR: Stationary States and Singularity Theory

Oscillatory Behavior in the Isothermal CSTR: Autocatalytic Systems

Autocatalytic Reactions in Plug-Flow and Diffusion Reactors

Chemical Diffusion Pattern Formation (Turing Structures)

Travelling Waves

Heterogeneous Reactions

Complex Oscillations and Chemical Chaos

Experiments

Experimental Systems 1: Solution-Phase Reactions

Experimental Systems

Table of Contents provided by Publisher. All Rights Reserved.