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Phase Ordering Dynamics in the Complex Ginzburg-Landau Equation

  • Sushanta Dattagupta
  • Sanjay Puri
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 71)

Abstract

There has been intense interest in problems of pattern formation in biological systems and chemical reactions [327–331]. In general, many physical systems exhibit fascinating spatio-temporal dynamics, resulting from the emergence and interaction of spatially-extended structures, e.g., vortices, spirals, etc. In this context [327–333], much attention has focused on the complex Ginzburg-Landau (CGL) equation, which has the general form:
$$\frac{\partial }{{\partial t}}\psi (r,t)\; = \;\psi + (1 + ia){\nabla ^2}\psi - (1 + i\beta ){\text{|}}\psi {{\text{|}}^{\text{2}}}\psi $$
(6.1)
.

Keywords

Correlation Function Defect Core Domain Growth Random Initial Condition Spiral Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sushanta Dattagupta
    • 1
  • Sanjay Puri
    • 2
  1. 1.S.N. Bose National Centre for Basic SciencesSalt Lake KolkataIndia
  2. 2.School of Physical SciencesJawaharlal Nehru UniversityNew DelhiIndia

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