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 1079-7114 (https://doi.org/10.1103/PhysRevLett.87.194101)

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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:30 Nov 2022 01:53
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/2955
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