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An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos (Topics in Physical Chemistry)

✍ Scribed by Irving R. Epstein, John A. Pojman


Publisher
Oxford University Press, USA
Tongue
English
Leaves
406
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Contents......Page 13
Part I: Overview......Page 15
1. Introductionβ€”A Bit of History......Page 17
2. Fundamentals......Page 31
3. Apparatus......Page 61
4. Synthesis of Chemical Oscillations......Page 76
5. Analysis of Chemical Oscillations......Page 97
6. Waves and Patterns......Page 123
7. Computational Tools......Page 153
Part II: Special Topics......Page 175
8. Complex Oscillations and Chaos......Page 177
9. Transport and External Field Effects......Page 205
10. Delays and Differential Delay Equations......Page 224
11. Polymer Systems......Page 245
12. Coupled Oscillators......Page 269
13. Biological Oscillators......Page 296
14. Turing Patterns......Page 313
15. Stirring and Mixing Effects......Page 338
A1.1 The Briggs–Rauscher Reaction......Page 360
A1.2 The Belousov–Zhabotinsky Reaction......Page 361
A1.3 BZ Waves......Page 362
A1.4 A Propagating pH Front......Page 363
A2.1 Frontal Polymerization......Page 365
A2.2 Oscillations in the Homogeneous Belousov–Zhabotinsky Reaction......Page 367
A2.3 Unstirred BZ System: "Measuring Rate Constants with a Ruler"......Page 370
References......Page 374
B......Page 401
C......Page 402
E......Page 403
L......Page 404
Q......Page 405
Z......Page 406


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