  A novel local evolution equation for one-dimensional interfaces is derived in
the context of erosion by ion beam sputtering. We present numerical simulations
of this equation which show interrupted coarsening in which an ordered cell
pattern develops with constant wavelength and amplitude at intermediate
distances, while the profile is disordered and rough at larger distances.
Moreover, for a wide range of parameters the lateral extent of ordered domains
ranges up to tens of cells. This behavior is new in the context of dynamics of
surfaces or interfaces with morphological instabilities. We also provide
analytical estimates for the stationary pattern wavelength and mean growth
velocity.
