Interplay between kinetic roughening and phase ordering

We studied interplay between kinetic roughening and phase ordering in 1+1 dimensional single-step solid-on-solid growth model with two kinds of particles and Ising-like interaction. Evolution of both geometrical and compositional properties was investigated by Monte Carlo simulations for various strengths of coupling. We found that the initial growth is strongly affected by interaction between species, scaling exponents are enhanced and the ordering on the surface is observed. However, after certain time, ordering along the surface stops and the scaling exponents cross over to exponents of the Kardar-Parisi-Zhang universality class. For sufficiently strong strength of coupling, ordering in vertical direction is present and leads to columnar structure persisting for a long time.