2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73358We 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.46 pages. A modified version thanks to Herbert Spohn commentsProbabilityMathematical Physics60K35, 82C22text