Interfacial depinning transitions in disordered media: revisiting an old puzzle

Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the prototypical non-equilibrium interfacial model, i.e. the Kardar–Parisi–Zhang equation, advancing in a disordered medium...

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Autores principales: Moglia, Belén, Albano, Ezequiel Vicente, Villegas, Pablo, Muñoz, Miguel A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123588
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Sumario:Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the prototypical non-equilibrium interfacial model, i.e. the Kardar–Parisi–Zhang equation, advancing in a disordered medium. We will separately analyze the cases of positive and negative non-linearity coefficients, which are believed to exhibit qualitatively different behavior: the positive case shows a continuous transition that can be related to directed-percolation-depinning, while in the negative case there is a discontinuous transition and faceted interfaces appear. Some studies have argued from different perspectives that both cases share the same universal behavior. By using a number of computational and scaling techniques we will shed light on this puzzling situation and conclude that the two cases are intrinsically different.