Roughening Transition in a One-Dimensional Growth Process

Details Roughening Transition in a One-Dimensional Growth Process Roughening Transition in a One-Dimensional Growth Process

1995-12-11

arxiv.org/abs/cond-mat/9512069v1

Phys. Rev. Lett. 76 (1996) 2746

Physics

Condensed Matter

4 pages, 3 Postscript figures, 1 Postscript formula, uses RevTeX

Scientific paper

10.1103/PhysRevLett.76.2746

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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