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From multiplicative noise to directed percolation in wetting transitions

F. Ginelli·V. Ahlers·R. Livi·D. Mukamel·A. Pikovsky·A. Politi·A. Torcini
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Abstract

A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behaviour observed along the transition line changes from a directed-percolation to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions, Mean-field arguments and the mapping on a yet simpler model provide some further insight on the overall scenario.

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F. Ginelli, V. Ahlers, R. Livi, D. Mukamel, A. Pikovsky, A. Politi, A. Torcini. 2003-09-18. From multiplicative noise to directed percolation in wetting transitions. https://doi.org/10.1103/physreve.68.065102

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