Eur. Phys. J. Special Topics 146, 71-86 (2007)
https://doi.org/10.1140/epjst/e2007-00170-3

Domain wall dynamics: Growth laws, localized structures and stable droplets

¹ Instituto Mediterráneo de Estudios Avanzados (IMEDEA, CSIC-UIB), Campus Universitat Illes Balears, 07122 Palma de Mallorca, Spain
² SUPA, Department of Physics, University of Strathclyde, 107 Rottenrow, G4 0NG Glasgow, Scotland, UK

Corresponding authors: damia@imedea.uib.es pere@imedea.uib.es maxi@imedea.uib.es gianluca@phys.strath.ac.uk

Abstract

We discuss the relation between the dynamics of walls separating two equivalent domains and the existence of different kinds of localized structures in systems far from thermodynamic equilibrium. In particular we focus in systems displaying a modulational instability of a flat front where an amplitude equation for the dynamics of the curvature allows to characterize different growth regimes and to predict the existence of stable droplets, localized structures whose stability comes from nonlinear curvature effects.