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Roughening Transition in a One-Dimensional Growth Process

Uri Alon·Martin Evans·Haye Hinrichsen·David Mukamel
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Abstract

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This transition is accompanied by spontaneous symmetry breaking, which is described by an order parameter whose dynamics is non-conserving. Some aspects of models in this class are related to directed percolation in 1+1 dimensions, although unlike directed percolation the models have no absorbing states. Scaling relations are derived and compared with Monte Carlo simulations.

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Uri Alon, Martin Evans, Haye Hinrichsen, David Mukamel. 1995-12-11. Roughening Transition in a One-Dimensional Growth Process. https://doi.org/10.1103/physrevlett.76.2746

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