Lacasta Palacio, Ana MaríaRamírez Piscina, LaureanoCasademunt i Viader, JaumeHernández Machado, AuroraRodríguez Díaz, Miguel Ángel2011-07-072011-07-0719981539-3755https://hdl.handle.net/2445/18715The effects of a disordered medium in the growth of unstable interfaces are studied by means of two local models with multiplicative and additive quenched disorder, respectively. For short times and large pushing the multiplicative quenched disorder is equivalent to a time-dependent noise. In this regime, the linear dispersion relation contains a destabilizing contribution introduced by the noise. For long times, the interface always gets pinned. We model the systematics of the pinned shapes by means of an effective nonlinear model. These results show good agreement with numerical simulations. For the additive noise we find numerically that a depinning transition occurs.7 p.application/pdfeng(c) The American Physical Society, 1998Física estadísticaTermodinàmicaSistemes dinàmics diferenciablesSuperfícies (Física)Interfícies (Ciències físiques)NanotecnologiaStatistical physicsThermodynamicsDifferentiable dynamical systemsSurfaces (Physics)Interfaces (Physical sciences)Nanotechnologyinfo:eu-repo/semantics/article145938info:eu-repo/semantics/openAccess