The deterministic variant of the Kardar–Parisi–Zhang equation for the evolution of a growing interface is used to model …

Interface pinning–depinning transition in quenched random media is studied by investigating a simple directed polymer … over all slope of the interface and the reduced force, respectively. The coefficient λ of the KPZ nonlinear term is … proportional to −v and it approaches zero as F→Fc. We find that the roughness exponent α=1.00±0.02 in d=1+1 and α=0.92±0.05 in d=2 …

We develop a phenomenological mapping between submonolayer polynuclear growth (PNG) and the interface dynamics at and …. The morphology of the still-active and pinned configurations and the interface velocity are compared to the PNG picture …. The interface mean height scales as erf(t). …

In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents … from the roughness fluctuation σ in the steady state. We compare the finite-size behavior of these exponents and the ones … calculated from the average roughness 〈w2〉 for two models in the 2+1-dimensional Kardar–Parisi–Zhang (KPZ) class and for a model …