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First order phase transition in a nonequilibrium growth process

Lorenzo Giada·Matteo Marsili
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Abstract

We introduce a simple continuous model for nonequilibrium surface growth. The dynamics of the system is defined by the KPZ equation with a Morse-like potential representing a short range interaction between the surface and the substrate. The mean field solution displays a non trivial phase diagram with a first order transition between a growing and a bound surface, associated with a region of coexisting phases, and a tricritical point where the transition becomes second order. Numerical simulations in 3 dimensions show quantitative agreement with mean field results, and the features of the phase space are preserved even in 2 dimensions.

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Lorenzo Giada, Matteo Marsili. 2000-05-25. First order phase transition in a nonequilibrium growth process. https://doi.org/10.1103/physreve.62.6015

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