Overview
- 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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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
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.
This second edition introduces a unified theory for topological phase transitions, provides a first-principle approach to statistical and quantum physics, and offers a microscopic mechanism of quantum condensates (Bose-Einstein condensation, superfluidity, and superconductivity).
Reviews of first edition:
“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)
Authors and Affiliations
Bibliographic Information
Book Title: Phase Transition Dynamics
Authors: Tian Ma, Shouhong Wang
DOI: https://doi.org/10.1007/978-3-030-29260-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-29259-1Published: 20 November 2019
Softcover ISBN: 978-3-030-29262-1Published: 20 November 2020
eBook ISBN: 978-3-030-29260-7Published: 08 November 2019
Edition Number: 2
Number of Pages: XXXI, 757
Number of Illustrations: 186 b/w illustrations, 10 illustrations in colour
Topics: Partial Differential Equations, Fluid- and Aerodynamics, Complex Systems