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Growth of unstable interfaces in disordered media

Lacasta, A. M. ; Ramírez-Piscina, L. ; Casademunt, J. ; Hernández-Machado, A. ; Rodríguez, M. A.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1998-05, Vol.57 (5), p.5754-5760

American Physical Society

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  • Título:
    Growth of unstable interfaces in disordered media
  • Autor: Lacasta, A. M. ; Ramírez-Piscina, L. ; Casademunt, J. ; Hernández-Machado, A. ; Rodríguez, M. A.
  • Assuntos: Disorder ; Física ; Interfaces ; Morphological instability ; Nonlinear dynamics ; Nonlinear systems ; Sistemes no lineals ; Àrees temàtiques de la UPC
  • É parte de: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1998-05, Vol.57 (5), p.5754-5760
  • Descrição: 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. Peer Reviewed
  • Editor: American Physical Society
  • Idioma: Inglês

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