Pattern Formation and Dynamics in Nonequilibrium Systems

ISBN-13: 9780521770507 / Angielski / Twarda / 2009 / 552 str.

Michael C. Cross

Opis

Designed for graduate students in biology, chemistry, engineering, mathematics, and physics, this introductory textbook provides a systematic account of the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems. It contains numerous illustrative worked examples, and over 150 exercises.

Recenzje

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

Spis treści

Preface; 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; Appendixes; References; Index.

O autorze

Cross, Michael
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. Greenside, Henry
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.