  We study the steady state structure and dynamics of a 2-d Ising interface
placed in an inhomogeneous external field with a sigmoidal profile which moves
with velocity $v_{e}$. In the strong coupling limit the problem maps onto an
assymmetric exclusion process involving motion of particles in 1-d with
position dependent right and left jump probabilities. For small $v_{e}$, the
interface is stuck to the field profile. As $v_{e}$ increases the profile
detaches from the interface. At the transition point(and beyond), the
interfacial structure and dynamics is characterized by KPZ exponents. For small
$v_{e}$, on the other hand, the interface is macroscopically smooth with a
vanishing roughness exponent $\alpha$. The interfacial structure is periodic
with a periodicity which depends on the orientation of the interface. For a
fixed orientation this periodic structure ``melts'' as $v_e$ is increased. We
determine the dynamical ``phase - diagram'' of this system in the $v_e$ -
orientation plane.
