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Patterns and Interfaces in Dissipative Dynamics

Patterns and Interfaces in Dissipative Dynamics


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About the Book

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. Nature creates its variety of forms through spontaneous pattern formation and self-assembly, and this strategy is likely to be imitated by future biomorphic technologies.

This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. The introductory chapter on the theory of dynamical systems is written with a view to applications of its powerful methods to spatial and spatio-temporal patterns. It is followed by two chapters treating moving interfaces, based largely on reaction-diffusion and phase-separating systems. The following two chapters on amplitude equations for patterns and waves describe universal phenomena generated by representative equations which can be derived for a variety of non-equilibrium systems originating in fluid mechanics, physical chemistry or nonlinear optics.

This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference.


About the Author: Len Pismen is Emeritus Professor of Fluid Mechanics at the Technion - Israel Institute of Technology. He has worked in various areas of applied physics and published over 200 papers. His earlier books include Vortices in Nonlinear Fields (1999), Patterns and Interfaces in Dissipative Dynamics (first edition, 2006), a textbook Working with Dynamical Systems (2021) and general audience books The Swings of Science (2018), Morphogenesis Deconstructed (2020), and Active Matter within and around us (2021). The latter two books appear in Springer's Frontiers Collection.


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Product Details
  • ISBN-13: 9783031295782
  • Publisher: Springer International Publishing
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 390
  • Spine Width: 24 mm
  • Weight: 793 gr
  • ISBN-10: 3031295781
  • Publisher Date: 06 Jul 2023
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: Revised and Extended Second Edition, Including Patterns of Active Matter
  • Width: 156 mm


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