Depinning transitions in interface growth models
نویسندگان
چکیده
منابع مشابه
Depinning Transitions in Interface Growth Models
Pinning-depinning transitions are roughening transitions separating a growing phase and pinned (or blocked) one, and are frequently connected to transitions into absorbing states. In this review, we discuss lattice growth models exhibiting this type of dynamic transition. Driven growth in media with impurities, the competition between deposition and desorption and deposition of poisoning specie...
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According to recent numerical results from lattice models, the critical exponents of systems with many absorbing states and order parameter coupled to a nondiffusive conserved field coincide with those of the linear interface depinning model within computational accuracy. In this paper the connection between absorbing-state phase transitions and interface pinning in quenched disordered media is...
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Recent numerical results for a model describing dispersive transport in ricepiles are explained by mapping the model to the depinning transition of an elastic interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size L as kyl , L22D , L20.23, and the avalanche size distribution exponent t 2 2 1yD . 1.55, where D . 2.23 from inter...
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We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized a...
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ژورنال
عنوان ژورنال: Brazilian Journal of Physics
سال: 2003
ISSN: 0103-9733
DOI: 10.1590/s0103-97332003000300011