  Conserved growth models that exhibit a nonlinear instability in which the
height (depth) of isolated pillars (grooves) grows in time are studied by
numerical integration and stochastic simulation. When this instability is
controlled by the introduction of an infinite series of higher-order nonlinear
terms, these models exhibit, as function of a control parameter, a
non-equilibrium phase transition between a kinetically rough phase with
self-affine scaling and a phase that exhibits mound formation, slope selection
and power-law coarsening.
