D. Gomila et al., Stable droplets and growth laws close to the modulational instability of adomain wall - art. no. 194101, PHYS REV L, 8719(19), 2001, pp. 4101
We consider the curvature driven dynamics of a domain wall separating two e
quivalent states in systems displaying a modulational instability of a flat
front. An amplitude equation for the dynamics of the curvature close to th
e 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) approxim
ate to t(1/4) is obtained. Our general analytical predictions, which are va
lid for a wide variety of systems including models of nonlinear optical cav
ities and reaction-diffusion systems are illustrated in the parametrically
driven complex Ginzburg-Landau equation.