  We have studied the reversal of magnetisation in Ising ferromagnet by the
field having gradient along a particular direction. We employed the Monte Carlo
simulation with Metropolis single spin flip algorithm. The average lifetime of
the metastable state was observed to increase with the magnitude of the
gradient of applied field. In the high gradient regime, the system was observed
to show two distinct region of up and down spins. The interface or the domain
wall was observed to move as one increases the gradient. The displacement of
the mean position of the interface was observed to increase with the gradient
as hyperbolic tangent function. The roughness of the interface was observed to
decay exponentially as the gradient increases. The number of spin flip per site
was observed to show a discontinuity in the vicinity of the domain wall. The
amount of the discontinuity was found to diverge with the system size as a
power law fashion with an exponent 5/3.

Statistical Mechanics