Spiral dynamics in the complex Ginzburg-Landau equation: Disorder vs. freezing
Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research Jakkur P.O., Bangalore 560064, India
Accepted: 24 January 2012
Results for the nonequilibrium dynamics in the complex Ginzburg-Landau equation are presented from Euler-discretization numerical solutions, for both single-spiral as well as multi-spiral morphologies. Single-spiral dynamics has been studied with a specially prepared vortex initial configurations. For random initial conditions, multi-spiral morphologies are observed to be frozen at late time. This frozen dynamics, however, is found to be unlocked in a disordered environment. For the latter, the late-time growth of the average spiral size is seen to be unusually fast. Various possible scenarios leading to this completely counterintuitive result are discussed, for which Hagan's single-spiral solution has been used as a reference.
PACS: 64.60.Cn – Order-disorder transformations / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2012