Skip to content
Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle

Your Cart


You have 0 items in your cart.

Register Sign in Wishlist

Pattern Formation and Dynamics in Nonequilibrium Systems

$84.00 (Z)

  • Date Published: August 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521770507

$84.00 (Z)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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.

    • A systematic account of the basic science common to biology, chemistry, engineering, mathematics and physics
    • Discusses the role of experiments, simulation, and analytics, and gives a careful pedagogical motivation of key concepts
    • Contains over 150 exercises and numerous illustrative worked examples
    Read more

    Reviews & endorsements

    "This book by Cross and Greenside presents a comprehensive introduction to an important area of natural science and assembles in one volume the essential conceptual, theoretical and experimental tools a serious student will need to obtain a modern understanding of pattern formation outside of equilibrium. The masterful 50-page introduction lays out the essential questions and provides motivation to the reader to explore the subsequent chapters, beginning with simple ideas and growing progressively in mathematical sophistication and physical depth. Careful attention is paid to the relationship between the theoretical methods and controlled laboratory experiments or numerical simulations. I can highly recommend this book to any student or researcher interested in a deepened understanding of nonequilibrium spatiotemporal patterns."
    Pierre Hohenberg, New York University

    "This book gives an excellent didactic introduction to pattern formation in spatially extended systems. It can serve both as the basis for an advanced undergraduate or graduate course as well as a reference. It is one of those books that will never outlive its usefulness. It is a must for anyone interested in non-linear, non-equilibrium physics."
    Eberhard Bodenschatz, MPI for Dynamics and Self-Organization, University of Goettingen, Cornell University

    "This book fills a longstanding need, and is certain to be an instant classic. The physics of pattern forming systems is diverse but the theoretical core of the subject, along with many of the most important applications, can be learned from this splendid book. It is bound to be a key text for courses, as well as a much cited reference."
    Stephen Morris, University of Toronto

    "… clearly written and follows a logical structure, making and excellent introduction to the field at the graduate student level."
    UK Nonlinear News

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: August 2009
    • format: Hardback
    • isbn: 9780521770507
    • length: 552 pages
    • dimensions: 244 x 170 x 30 mm
    • weight: 1.07kg
    • contains: 54 b/w illus. 154 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Linear instability: basics
    3. Linear instability: application 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

  • Authors

    Michael Cross, California Institute of Technology
    Michael Cross is a Professor of Theoretical Physics at the California Institute of Technology, USA. His research interests are in nonequilibrium and nonlinear physics including pattern formation, chaos theory, nanomechanical systems, and condensed matter physics, particularly the theory of liquid and solid helium.

    Henry Greenside, Duke University, North Carolina
    Henry Greenside is a Professor in the Department of Physics at Duke University, USA. He has carried out research in condensed matter physics, plasma physics, nonequilibrium pattern formation, and theoretical neurobiology. He is also involved with outreach programs to stimulate interest in science and physics at junior high school and high school levels.

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.