First order phase transition in a nonequilibrium growth process

Details First order phase transition in a nonequilibrium growth process First order phase transition in a nonequilibrium growth process

2000-05-25

arxiv.org/abs/cond-mat/0005442v1

Phys. Rev. E 62, 6015 (2000)

Physics

Condensed Matter

Statistical Mechanics

7 figures, revtex, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.62.6015

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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