Phase Transition Dynamics

  • Tian Ma
  • Shouhong Wang

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Tian Ma, Shouhong Wang
    Pages 1-24
  3. Tian Ma, Shouhong Wang
    Pages 25-121
  4. Tian Ma, Shouhong Wang
    Pages 123-248
  5. Tian Ma, Shouhong Wang
    Pages 249-372
  6. Tian Ma, Shouhong Wang
    Pages 373-446
  7. Tian Ma, Shouhong Wang
    Pages 447-525
  8. Back Matter
    Pages 527-555

About this book

Introduction

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.

Keywords

Nonlinear Sciences Phase Transition Dynamics dissipative partial differential equations time-dependent Ginzburg-Landau superconductivity model

Authors and affiliations

  • Tian Ma
    • 1
  • Shouhong Wang
    • 2
  1. 1.Department of MathematicsSichuan UniversitySichuanPeople's Republic of China
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-8963-4
  • Copyright Information Springer Science+Business Media, LLC 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-8962-7
  • Online ISBN 978-1-4614-8963-4