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We introduce an interface growth model exhibiting a roughening transition from a smooth to a rough phase, related to a nonequilibrium phase transition (NPT) from an active to an inactive phase at the bottom layer. In the model, two different species of particles are deposited or evaporated, and a dynamic rule is assigned symmetrically or asymmetrically with respect to particle species. It is found that for the asymmetric case, the roughening transition and the NPT belong to the directed percolation universality class, while for the symmetric case, they are related to the directed Ising universality class.
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Park et al. (1999) studied this question.
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