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• W2068280897 abstract "We propose and study an analytic model for growing interfaces in the presence of Brownian diffusion and hopping transport. The model is based on a continuum formulation of mass conservation at the interface, including reactions. The Burgers-KPZ equation for the rate of elevation change emerges after a number of approximations are invoked. We add to the model the possibility that surface transport may be by a hopping mechanism of a Lévy flight, which leads to the (multi)fractal Burgers-KPZ model. The issue how to incorporate experimental data on the jump length distribution in our model is discussed and controlled algorithms for numerical solutions of such fractal Burgers-KPZ equations are provided." @default.
• W2068280897 created "2016-06-24" @default.
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• W2068280897 date "2001-03-01" @default.
• W2068280897 modified "2023-09-30" @default.
• W2068280897 title "Growing fractal interfaces in the presence of self-similar hopping surface diffusion" @default.
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• W2068280897 doi "https://doi.org/10.1016/s0378-4371(00)00467-2" @default.
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