English

First order phase transition in a nonequilibrium growth process

Statistical Mechanics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0005442,
  title  = {First order phase transition in a nonequilibrium growth process},
  author = {Lorenzo Giada and Matteo Marsili},
  journal= {arXiv preprint arXiv:cond-mat/0005442},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T10:03:14.699Z