Roughening transition in a one-dimensional growth process

U Alon*, MR Evans, H Hinrichsen, D Mukamel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 nonconserving. 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.

Original languageEnglish
Pages (from-to)2746-2749
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number15
Publication statusPublished - 8 Apr 1996

Keywords

  • DIRECTED PERCOLATION
  • CELLULAR AUTOMATA
  • MODELS

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