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
        }
}
  • Alon, Evans, Mukamel
  • Published 11 December 1995
  • Physics
  • Physical review letters
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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