# Roughening transition in a one-dimensional growth process.

@article{Alon1996RougheningTI, title={Roughening transition in a one-dimensional growth process.}, author={Alon and Evans and Hinrichsen and Mukamel}, journal={Physical review letters}, year={1996}, volume={76 15}, pages={ 2746-2749 } }

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…

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