Roughening Transition in a One-Dimensional Growth Process

Preprint

11 December 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9512069

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.

Keywords

DIMENSIONAL GROWTH PROCESSES
MONTE CARLO SIMULATIONS
ROUGHENING TRANSITION
DIRECTED PERCOLATION
GROWTH PROCESS
PERCOLATION
MODELS

All Related Versions

Version 1, 1995-12-11, ArXiv
Published version: Physical Review Letters, 76 (15), 2746.

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