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Paper detail

Boundary crossover in non-equilibrium growth processes

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.

preprint2014arXivOpen access
Nicolas AllegraJean-Yves FortinMalte Henkel
cond-mat.stat-mechmath-phmath.MPnlin.CDhep-th
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Nicolas AllegraJean-Yves FortinMalte Henkel

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