  We consider the 2D stochastic Ising model evolving according to the Glauber
dynamics at zero temperature. We compute the initial drift for droplets which
are suitable approximations of smooth domains. A specific spatial average of
the derivative at time~0 of the volume variation of a droplet close to a
boundary point is equal to its curvature multiplied by a direction dependent
coefficient. We compute the explicit value of this coefficient.
