Stable droplets and growth laws close to the modulational instability of a domain wall

Gomila, Damià and Colet, Pere and Oppo, Gian-Luca and San Miguel, Maxi (2001) Stable droplets and growth laws close to the modulational instability of a domain wall. Physical Review Letters, 87 (19). 194101. ISSN 0031-9007

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    Abstract

    We consider the curvature driven dynamics of a domain wall separating two equivalent states in systems displaying a modulational instability of a flat front. An amplitude equation for the dynamics of the curvature close to the bifurcation point from growing to shrinking circular droplets is derived. We predict the existence of stable droplets with a radius R that diverges at the bifurcation point, where a curvature driven growth law R(t)≈t1/4 is obtained. Our general analytical predictions, which are valid for a wide variety of systems including models of nonlinear optical cavities and reaction-diffusion systems, are illustrated in the parametrically driven complex Ginzburg-Landau equation.

    ORCID iDs

    Gomila, Damià, Colet, Pere, Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309 and San Miguel, Maxi;
    • Item type:Article
      ID code:2955
      Dates:
      Date
      Event
      17 October 2001
      Published
      Keywords:domain wall, curvature driven growth law, nonlinear physics, optics, Ginzburg-Landau equation, Optics. Light, Physics and Astronomy(all)
      Subjects:Science > Physics > Optics. Light
      Department:Faculty of Science > Physics
      Depositing user: Mr Derek Boyle
      Date deposited:21 May 2008
      Last modified:13 Sep 2021 01:44
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/2955
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