Non-equilibrium Dynamics of Finite Interfaces
  We present an exact solution to an interface model representing the dynamics of a domain wall in a two-phase Ising system. The model is microscopically motivated, yet we find that in the scaling regime our results are consistent with those obtained previously from a phenomenological, coarse-grained Langevin approach. 
D. B. Abraham, T. J. Newman and G. M. Sch\"utz