Phase Transition Dynamics - Ma Tian

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Résumé :
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).

Sommaire:
Introduction to Dynamic Transitions.- Dynamic Transition Theory.- Equilibrium Phase Transitions in Statistical Physics.- Fluid Dynamics.- Geophysical Fluid Dynamics and Climate Dynamics.- Dynamical Transitions in Chemistry and Biology.- Fundamental Principles of Statistical and Quantum Physics.- Quantum Mechanism of Condensates and High Tc Superconductivity.- Topological Phase Transitions.