Perturbation theory for domain walls in the parametric Ginzburg-Landau equation - art. no. 056618

Citation
Dv. Skryabin et al., Perturbation theory for domain walls in the parametric Ginzburg-Landau equation - art. no. 056618, PHYS REV E, 6405(5), 2001, pp. 6618
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<6618:PTFDWI>2.0.ZU;2-G
Abstract
We demonstrate that in the parametrically driven Ginzburg-Landau equation a rbitrarily small nongradient corrections lead to qualitative differences in the dynamical properties of domain walls in the vicinity of the transition from rest to motion. These differences originate from singular rotation of the eigenvector governing the transition. We present analytical results on the stability of Ising walls, deriving explicit expressions for the critic al eigenvalue responsible for the transition from rest to motion. We then d evelop a weakly nonlinear theory to characterize the singular character of the transition and analyze the dynamical effects of spatial inhomogeneities .