Pattern Formation and Dynamics in Nonequilibrium Systems

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Product Description

Many exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.

Pattern Formation and Dynamics in Nonequilibrium Systems Review

When I took my first course "introduction to hydrodynamic instabilities" as the second year master student in Ecole Polytechnique in France, the famous paper "pattern formation outside of equilibrium" (Cross and Hohenberg 1993) was recommended by our professor as furthur readings. Cross, one of the author of this book is one of the auther of that famous paper.
This books is indeed an very comprehensive introduction to the pattern formation in the nonequilibrium system, especially for students or engineers having not two much mathematics background. They avoid the tedious mathematical derivations for the equations by just some symmetric arguments. Results of these mathematical models are also well presented with clear physical interpretations. They also introduce the difficult subjects, like spatiotemporal chaos and excitable media, etc, so that students can catch up a bit on recent researches.
Of course, to do a nice physical presentation of the pattern formation in their way sacrifices on the mathematics, although there are the appendix on bifurcation theory and multiscale analysis. It's very pity that they left the whole part of equivariant theory about bifurcations and symmetry. In fact, the first book I read about pattern formation is "pattern formation, an introduction to method" by Rebecca Hoyle, who tried to present the pattern formation in an elegant mathematical and rapid way by starting with the group theory. It was difficult for me, a student only having an mechanical engineering background. Some of physical interpretations of the mathematical theories were not clear for me in his book, because I got lost in the mathematics. However, when I read this book by Cross and Greenside, everything seems to be clear for me. I did some cross-reading on these two books, because one is too mathematics, and another is only physical. If I was the editor, I would like to name this book as "pattern formation, an introduction to method", while the other one of Hoyle as "pattern formation, an mathematical representation". I was pity that there is not a book can explain both mathematics and physics clearly at the same time. So I gave both these two books 4 points over 5.
In resume, this book can serve as a self-learning book for the senior undergraduate students or MS or PhD on physics, engineering, etc. If you are a mathos, please fetch the Hoyle's book.

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