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 (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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