Smooth phases, roughening transitions, and novel exponents in one-dimensional growth models

@article{Alon1998SmoothPR,
  title={Smooth phases, roughening transitions, and novel exponents in one-dimensional growth models},
  author={Uri Alon and Martin R Evans and Haye Hinrichsen and David Mukamel},
  journal={Physical Review E},
  year={1998},
  volume={57},
  pages={4997-5012}
}
A class of solid-on-solid growth models with short range interactions and sequential updates is studied. The models exhibit both smooth and rough phases in dimension d=1. Some of the features of the roughening transition which takes place in these models are related to contact processes or directed percolation type problems. The models are analyzed using a mean field approximation, scaling arguments and numerical simulations. In the smooth phase the symmetry of the underlying dynamics is… 

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