INTERFACE MOTION IN A PLANAR SPIN-FLIP MODEL DERIVED FROM EXCLUSION ON THE LINE

We consider a two-dimensional spin-flip model, which can be interprete d as the limit of the Ising model at low temperature and a small nonze ro external field. In the hydrodynamic limit and for a special class o f initial conditions, the motion of the interface is governed by a non linear partial differential equation with a lattice-distorted curvatur e term. In our proofs we use results about the hydrodynamic behavior o f the weakly asymmetric exclusion process on the integers and also on the nonnegative integers with a trap at the boundary.