Pattern formation and dynamics in nonequilibrium systems / Michael Cross, Henry Greenside.

Format:

Book

Author/Creator:

Cross, Michael (Michael Clifford), author.

Greenside, Henry, author.

Language:

English

Subjects (All):

Pattern formation (Physical sciences).

Physical Description:

1 online resource (xvi, 535 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Pattern Formation & Dynamics in Nonequilibrium Systems

Place of Publication:

Cambridge : Cambridge University Press, 2009.

Language Note:

English

Summary:

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.

Contents:

Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Linear instability: basics; 3 Linear instability: applications to reacting and diffusing chemicals; 4 Nonlinear states; 5 Models; 6 One-dimensional amplitude equation; 7 Amplitude equations for two-dimensional patterns; 8 Defects and fronts; 9 Patterns far from threshold; 10 Oscillatory patterns; 11 Excitable media; 12 Numerical methods; Appendix 1 Elementary bifurcation theory; Appendix 2 Multiple scales perturbation theory; Glossary; References; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 526-530) and index.

ISBN:

1-107-19468-7

1-139-63673-1

0-511-62720-3

0-511-65151-1

0-511-59363-5

0-511-59270-1

0-511-59556-5

OCLC:

609842872