Eur. Phys. J. E (2013) 36: 130
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

Abstract

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.