Collège Doctoral - Doktorandenkollegien

Statistical Physics of Complex Systems

Coventry - Leipzig - Lviv - Nancy

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Publication

Title Boundary crossover in non-equilibrium growth processes
Authors Allegra N., Fortin J.-Y., Henkel M.
Reference J. Stat. Mech. (2014) P02018
DOI10.1088/1742-5468/2014/02/P02018
ArXivarxiv:1309.1634
Abstract The growth of stochastic interfaces in the vicinity of a boundary shows a non-trivial crossover between the behaviour deep in the bulk and a more complex boundary behaviour, related to the causal interaction of the interface with the boundary. This calls for a generalization of the usually admitted scaling laws. 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 scaling of interface heights and widths is analyzed and an universal scaling form for the local height profile is proposed.


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