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Phase Transition Dynamics

Authors: Ma, Tian, Wang, Shouhong

  • Theory and methods are applicable to a wide range of scientific problems
  • Provides a thorough introduction to dynamic transition theory for nonlinear partial differential equations
  • Mathematical discussion of dynamic transition theory is developed with attention to physics
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  • ISBN 978-1-4614-8963-4
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Hardcover $149.00
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  • ISBN 978-1-4614-8962-7
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  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
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  • ISBN 978-1-4939-4412-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Reviews

From the book reviews:

“The goals of this interesting book are to derive a general principle of dynamic transitions for dissipative systems and to establish a systematic dynamic transition theory for a wide range of problems in the nonlinear sciences. … The intended audience for this book includes students and researchers working on nonlinear problems in physics, meteorology, oceanography, biology, chemistry, and the social sciences.” (Carlo Bianca, Mathematical Reviews, December, 2014)

“This is a clearly written book on numerous types of phase transitions taken in a broad sense when a dynamical dissipative system transforms from one physical state into another. … The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.” (Vladimir Čadež, zbMATH, Vol. 1285, 2014)


Table of contents (6 chapters)

  • Introduction to Dynamic Transitions

    Ma, Tian (et al.)

    Pages 1-24

  • Dynamic Transition Theory

    Ma, Tian (et al.)

    Pages 25-121

  • Equilibrium Phase Transition in Statistical Physics

    Ma, Tian (et al.)

    Pages 123-248

  • Fluid Dynamics

    Ma, Tian (et al.)

    Pages 249-372

  • Geophysical Fluid Dynamics and Climate Dynamics

    Ma, Tian (et al.)

    Pages 373-446

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-8963-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-8962-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-4412-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Phase Transition Dynamics
Authors
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-8963-4
DOI
10.1007/978-1-4614-8963-4
Hardcover ISBN
978-1-4614-8962-7
Softcover ISBN
978-1-4939-4412-5
Edition Number
1
Number of Pages
XXII, 555
Number of Illustrations and Tables
155 b/w illustrations
Topics