Growth of unstable interfaces in disordered media

The 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 r...

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Detalles Bibliográficos
Autores: Lacasta Palacio, Ana María|||0000-0002-9060-6043, Ramírez de la Piscina Millán, Laureano|||0000-0003-4019-245X, Casademunt, Jaume, Hernández-Machado, Aurora, Rodríguez, M. A.
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/2596
Acceso en línea:https://hdl.handle.net/2117/2596
https://dx.doi.org/10.1103/PhysRevE.57.5754
Access Level:acceso abierto
Palabra clave:Nonlinear systems
Nonlinear dynamics
Interfaces
Disorder
Morphological instability
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Descripción
Sumario:The 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.