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Directed Percolation with long-range interactions: modeling non-equilibrium wetting

F. Ginelli·H. Hinrichsen·R. Livi·D. Mukamel·A. Politi
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Abstract

It is argued that some phase--transitions observed in models of non-equilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length $\ell$ is $1+a\ell^{-σ}$. Mean--field analysis and numerical simulations indicate that for $σ>1$ the transition is continuous and belongs to the universality class of directed percolation, while for $0<σ<1$, the transition becomes first order. This criterion is then applied to discuss critical properties of various models of non--equilibrium wetting.

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F. Ginelli, H. Hinrichsen, R. Livi, D. Mukamel, A. Politi. 2004-12-10. Directed Percolation with long-range interactions: modeling non-equilibrium wetting. https://doi.org/10.1103/physreve.71.026121

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