Perturbation theory for domain walls in the parametric Ginzburg-Landau equation

Skryabin, D.V. and Yulin, A. and Michaelis, D. and Firth, W.J. and Oppo, G.-L. and Peschel, U. and Lederer, F. (2001) Perturbation theory for domain walls in the parametric Ginzburg-Landau equation. Physical Review E, 64 (5). 056618. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.64.056618)

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Abstract

We demonstrate that in the parametrically driven Ginzburg-Landau equation arbitrarily 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 critical eigenvalue responsible for the transition from rest to motion. We then develop a weakly nonlinear theory to characterize the singular character of the transition and analyze the dynamical effects of spatial inhomogeneities.

ORCID iDs

Skryabin, D.V., Yulin, A., Michaelis, D., Firth, W.J., Oppo, G.-L. ORCID logoORCID: https://orcid.org/0000-0002-5376-4309, Peschel, U. and Lederer, F.;
  • Item type:Article
    ID code:80658
    Dates:
    Date
    Event
    25 October 2001
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:12 May 2022 08:22
    Last modified:11 Nov 2024 13:29
    URI:https://strathprints.strath.ac.uk/id/eprint/80658
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