Roughening transition in a one-dimensional growth process

U. Alon; M. R. Poliakoff; H. Hinrichsen; D. Mukamel

doi:10.1103/PhysRevLett.76.2746

Roughening transition in a one-dimensional growth process

U. Alon, M. R. Poliakoff, H. Hinrichsen, D. Mukamel

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2746-2749
Number of pages	4
Journal	Physical Review Letters
Volume	76
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.76.2746
State	Published - 8 Apr 1996
Externally published	Yes

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General Physics and Astronomy

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10.1103/PhysRevLett.76.2746

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AB - 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.

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Roughening transition in a one-dimensional growth process

Abstract

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