Roughening Transition in a One-Dimensional Growth Process
Condensed Matter
2009-10-28 v1
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.
Cite
@article{arxiv.cond-mat/9512069,
title = {Roughening Transition in a One-Dimensional Growth Process},
author = {Uri Alon and Martin Evans and Haye Hinrichsen and David Mukamel},
journal= {arXiv preprint arXiv:cond-mat/9512069},
year = {2009}
}
Comments
4 pages, 3 Postscript figures, 1 Postscript formula, uses RevTeX