Phase Transition Dynamics

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Springer Science & Business Media, Nov 9, 2013 - Mathematics - 555 pages
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.
 

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Contents

1 Introduction to Dynamic Transitions
1
2 Dynamic Transition Theory
25
3 Equilibrium Phase Transition in Statistical Physics
123
4 Fluid Dynamics
249
5 Geophysical Fluid Dynamics and Climate Dynamics
373
6 Dynamical Transitions in Chemistry and Biology
447
Appendix A
526
References
541
Index
552
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