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Phase Transition Dynamics

Autor Tian Ma, Shouhong Wang
en Limba Engleză Hardback – 9 noi 2013
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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Specificații

ISBN-13: 9781461489627
ISBN-10: 1461489628
Pagini: 577
Ilustrații: 153 illus., 2 illus. in color., 151 schwarz-weiße und 2 farbige Abbildungen, 1 schwarz-weiße Tabellen
Dimensiuni: 155 x 235 x 38 mm
Greutate: 0.98 kg
Ediția:2014
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

​​​​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​.

Recenzii

From the book reviews:
“The goals of this interesting book are to derive a general principle of dynamic transitions for dissipative systems and to establish a systematic dynamic transition theory for a wide range of problems in the nonlinear sciences. … The intended audience for this book includes students and researchers working on nonlinear problems in physics, meteorology, oceanography, biology, chemistry, and the social sciences.” (Carlo Bianca, Mathematical Reviews, December, 2014)
“This is a clearly written book on numerous types of phase transitions taken in a broad sense when a dynamical dissipative system transforms from one physical state into another. … The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.” (Vladimir Čadež, zbMATH, Vol. 1285, 2014)

Textul de pe ultima copertă

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.

Caracteristici

Theory and methods are applicable to a wide range of scientific problems
Provides a thorough introduction to dynamic transition theory for nonlinear partial differential equations
Mathematical discussion of dynamic transition theory is developed with attention to physics

Descriere

This book introduces a general principle of dynamic transitions for dissipative systems, establishes a systematic dynamic transition theory, and explores the physical implications of applications of the theory to a range of problems in the nonlinear sciences.