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

Abstract

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

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

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