E-Book Overview
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.
E-Book Content
AN INTRODUCTION to NONLINEAR CHEMICAL DYNAMICS
TOPICS IN PHYSICAL CHEMISTRY A Series of Advanced Textbooks and Monographs Series Editor Donald G. Truhlar, University of Minnesota
Algebraic Theory of Molecules, F. lachello and R.D. Levine Spectra of Atoms and Molecules, P. Bernath Electronic Structure Calculations on Fullerenes and Their Derivatives, J. Cioslowski Chemical Reactions in Clusters, E.R. Bernstein Quantum Mechanics in Chemistry, J. Simons and J. Nichols An Introduction to Hydrogen Bonding, G.A. Jeffrey Hydrogen Bonding: A Theoretical Perspective, S. Scheiner Fractals in Molecular Biophysics, T.G. Dewey Molecular Orbital Calculations for Biological Systems, A.-M. Sapse An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos, I.R. Epstein and J.A. Pojman
AN INTRODUCTION to NONLINEAR CHEMICAL DYNAMICS Oscillations, Waves, Patterns, and Chaos
IRVING R. EPSTEIN JOHN A. POJMAN
New York Oxford Oxford University Press 1998
Oxford University Press Oxford New York Athens Auckland Bangkok Bogota Buenos Aires Calcutta Cape Town Chennai Dar es Salaam Delhi Florence Hong Kong Istanbul Karachi Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi Paris Sao Paulo Singapore Taipei Tokyo Toronto Warsaw and associated companies in Berlin Ibadan
Copyright © 1998 by Oxford University Press, Inc. Published by Oxford University Press, Inc., 198 Madison Avenue, New York, New York 10016 Oxford is a registered trademark of Oxford University Press All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press. Library of Congress Cataloging-in-Publication Data Epstein, Irving R. (Irving Robert}, 1945An introduction to nonlinear chemical dyamics: oscillations, waves, patterns, and chaos / Irving R. Epstein, John A. Pojman. p. cm. - (Topics in physical chemistry) Includes bibliographical references and index. ISBN 0-19-509670-3 1. Nonlinear.chemical kinetics. I. Pojman, John A. (John Anthony). 1962- . II. Title, III. Series: Topics in physical chemistry series. QD502.2.E67 1998 541.3'94—dc21 97-48850
1 3 5 7 9 8 6 4 2 Printed in the United Stales of America on acid-free paper
To Our Families and Students