Phase Transition Dynamics [electronic resource] / by Tian Ma, Shouhong Wang.
By: Ma, Tian [author.].
Contributor(s): Wang, Shouhong [author.] | SpringerLink (Online service).
Material type:
BookPublisher: New York, NY : Springer New York : Imprint: Springer, 2014Description: XXII, 555 p. 155 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781461489634.Subject(s): Mathematics | Differential equations, partial | Mathematics | Partial Differential Equations | Fluid- and Aerodynamics | Complex SystemsDDC classification: 515.353 Online resources: Click here to access online User’s Guide -- General Theory of Phase Transition Dynamics -- Dynamic Transition Theory.- Equilibrium Phase Transition in Statistical Physics -- Fluid Dynamics -- Geophysical Fluid Dynamics and Climate Dynamics -- Dynamical Transitions in Chemistry and Biology.- References .
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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