An Introduction to Nonlinear Chemical Dynamics Oscillations, Waves, Patterns, and Chaos

by Epstein, Irving R.; Pojman, John A.

• ISBN13: 9780195096705
• ISBN10: 0195096703
• Format: Hardcover
• Copyright: 1998-10-22
• Publisher: Oxford University Press

Summary

Over the past three decades oscillating reactions, chaos, and chemicalpattern formation have become important areas of research. While there are anumber of books on nonlinear dynamics, this is one of the first book writtenspecifically for chemists. Assuming only an undergraduate knowledge ofchemistry, the authors explain why chemists initially thought oscillatingreactions violated the second law of thermodynamics and then go on to developthe mathematical and theoretical background necessary to understand current workon oscillating reactions, chaos, and chemical waves. Throughout their discussionthe authors emphasize the chemical mechanistic basis for self-organization, andto help readers begin research in the field, they cover practical aspects ofreactor design, data analysis, and computer simulations. They also includechapters devoted to such advanced topics as complex oscillations, biologicalsystems, polymers, interaction of fields with waves, and Turing patterns. Thebook concludes with appendices devoted to time-tested demonstrations andexperiments ideal for an undergraduate laboratory.

Table of Contents

Part 1: Overview	3	(160)
1. Introduction-A Bit of History	3	(14)
2. Fundamentals	17	(30)
3. Apparatus	47	(15)
4. Synthesis of Chemical Oscillations	62	(21)
5. Analysis of Chemical Oscillations	83	(26)
6. Waves and Patterns	109	(30)
7. Computational Tools	139	(24)
Part II: Special Topics	163	(183)
8. Complex Oscillations and Chaos	163	(28)
9. Transport and External Field Effects	191	(19)
10. Delays and Differential Delay Equations	210	(21)
11. Polymer Systems	231	(24)
12. Coupled Oscillators	255	(27)
13. Biological Oscillators	282	(17)
14. Turing Patterns	299	(25)
15. Stirring and Mixing Effects	324	(22)
Appendix 1: Demonstrations	346	(5)
A1.1 The Briggs-Rauscher Reaction	346	(1)
A1.2 The Belousov-Zhabotinsky Reaction	347	(1)
A1.3 BZ Waves	348	(1)
A1.4 A Propagating pH Front	349	(2)
Appendix 2: Experiments for the Undergraduate Lab	351	(9)
A2.1 Frontal Polymerization	351	(2)
A2.2 Oscillations in the Homogeneous Belousov-Zhabotinsky Reaction	353	(3)
A2.3 Unstirred BZ System: "Measuring Rate Constants with a Ruler"	356	(4)
References	360	(27)
Index	387