https://doi.org/10.1140/epje/i2013-13130-0
Regular Article
A comparative study of nonequilibrium dynamics in complex and real Ginzburg-Landau equations
Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O, 560064, Bangalore, India
* e-mail: das@jncasr.ac.in
Received:
10
May
2013
Revised:
14
August
2013
Accepted:
23
October
2013
Published online:
21
November
2013
Complex and real Ginzburg-Landau equations have been numerically studied by implementing Euler discretization technique. In addition to characterizing the differences and similarities of patterns involving these two continuum dynamical equations, in a wide range of appropriate parameter space, we have also made quantitative comparisons of growth dynamics in the two cases. In most part of the above-mentioned parameter space the complex Ginzburg-Landau equation exhibits frozen spiral dynamics. Results on the unlocking of this freezing are also presented.
Key words: Flowing matter: Nonlinear Physics
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2013