Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions

Details Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions

1998-03-13

arxiv.org/abs/cond-mat/9803171v2

PRL vol. 81, 1734 (1998)

Physics

Condensed Matter

Statistical Mechanics

Minor changes, accepted for publication in PRL, LaTeX, 4 pages with 4 figures, uses epsf

Scientific paper

10.1103/PhysRevLett.81.1734

We introduce a simple model of yeast-like growth of fungi colonies, which exhibits a continuous roughening transition far from equilibrium from a smooth ($\alpha = 0$) to rough phase ($\alpha = 1/2$) in 1+1 dimensions. At the transition some scaling exponents are calculated by mapping the problem onto a directed percolation process. The model reproduces the roughening transition observed in some experiments of fungal growth

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