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

Juan M. Lopez·Henrik Jeldtoft Jensen
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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 ($α= 0$) to rough phase ($α= 1/2$) 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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Juan M. Lopez, Henrik Jeldtoft Jensen. 1998-07-16. Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions. https://doi.org/10.1103/physrevlett.81.1734

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