TY - BOOK AU - Ma,Tian AU - Wang,Shouhong TI - Phase transition dynamics SN - 9781461489627 U1 - 530.414 23 PY - 2014/// CY - New York PB - Springer KW - Phase transformations (Statistical physics) KW - Partial differential equations N1 - Includes bibliographical references (pages 541-551) and index; 1. Introduction to dynamic transitions-- 2. Dynamic Transition Theory.- 3. Equilibrium Phase Transition in Statistical Physics.- 4. Fluid Dynamics.- 5. Geophysical Fluid Dynamics and Climate Dynamics.- 6. Dynamical Transitions in Chemistry and Biology.- Appendix A.- References.- Index N2 - 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 ER -