Partially Ordered Systems

Spatio-Temporal Pattern Formation

With Examples from Physics, Chemistry, and Materials Science

Authors: Walgraef, Daniel

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About this Textbook

Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta­ bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex­ perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres­ ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob­ tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.

Table of contents (14 chapters)

  • Introduction

    Walgraef, Daniel

    Pages 1-13

  • Instabilities and Patterns in Hydrodynamical Systems

    Walgraef, Daniel

    Pages 15-24

  • Instabilities and Patterns in Reaction-Diffusion Systems

    Walgraef, Daniel

    Pages 25-36

  • Generic Aspects of Pattern-Forming Instabilities

    Walgraef, Daniel

    Pages 37-64

  • The Hopf Bifurcation and Related Spatio-Temporal Patterns

    Walgraef, Daniel

    Pages 65-85

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-1850-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-387-94857-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4612-7311-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spatio-Temporal Pattern Formation
Book Subtitle
With Examples from Physics, Chemistry, and Materials Science
Authors
Series Title
Partially Ordered Systems
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1850-0
DOI
10.1007/978-1-4612-1850-0
Hardcover ISBN
978-0-387-94857-7
Softcover ISBN
978-1-4612-7311-0
Series ISSN
0941-5114
Edition Number
1
Number of Pages
X, 306
Topics