Introduction to Dynamic Transitions

Tian Ma and Shouhong Wang
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Tian Ma: Sichuan University, Department of Mathematics
Shouhong Wang: Indiana University, Department of Mathematics

Chapter Chapter 1 in Phase Transition Dynamics, 2019, pp 1-30 from Springer

Abstract: Abstract The study of phase transitions is an active field with a long history. This book aims to provide a comprehensive, unified, and balanced account of both dynamic and topological phase transition theories and their applications to statistical systems, quantum systems, classical and geophysical fluid dynamics, biological and chemical systems, and climate dynamics. The dynamic phase transition theory establishes a dynamic transition principle, Principle 1, following the philosophy of searching for a complete set of transition states. We present in this chapter a brief introduction to this dynamic transition theory together with an introduction to first-principle approach to fundamental laws of physics, and to fundamental issues of dynamic phase transitions motivated by problems in the nonlinear sciences.

Date: 2019
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DOI: 10.1007/978-3-030-29260-7_1

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