Boundary crossover in semi-infinite non-equilibrium growth processes

Abstract : The growth of stochastic interfaces in the vicinity boundry and the non-trivial crossover towards the behaviour deep in the bulk analysed. The causal interactions of the interface with the boundary lead to a roughness near to the boundary than deep in the bulk. This is exemplified in the semi- infinite Edwards-Wilkinson model in one dimension, from both its exact solution and numerical simulations, well from simulations on the semi-infinite one-dimensional Kardar-Parisi-Zhang model. The non-stationary scaling of interface heights and widths is analysed and a universal scaling form for the local height, profile is proposed.
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Nicolas Allegra, Jean-Yves Fortin, Malte Henkel. Boundary crossover in semi-infinite non-equilibrium growth processes. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2014, ⟨10.1088/1742-5468/2014/02/P02018⟩. ⟨hal-01275573⟩

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