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arXiv · 1309.1634

Boundary crossover in non-equilibrium growth processes

Nicolas Allegra·Jean-Yves Fortin·Malte Henkel
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Abstract

The growth of stochastic interfaces in the vicinity of a boundary and the non-trivial crossover towards the behaviour deep in the bulk is analysed. The causal interactions of the interface with the boundary lead to a roughness larger near to the boundary than deep in the bulk. This is exemplified in the semi-infinite Edwards-Wilkinson model in one dimension, both from its exact solution and numerical simulations, as well as from simulations on the semi-infinite one-dimensional Kardar-Parisi-Zhang model. The non-stationary scaling of interface heights and widths is analyzed and a universal scaling form for the local height profile is proposed.

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Nicolas Allegra, Jean-Yves Fortin, Malte Henkel. 2014-02-17. Boundary crossover in non-equilibrium growth processes. https://doi.org/10.1088/1742-5468%2F2014%2F02%2Fp02018

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