It was recalled that an interesting phase transition in the context of a planar Ising system with a grain boundary had been revealed. Here, a more detailed study was made of the relaxation dynamics of this system, and it was shown how the grain boundary acted as a guide which spatially confined matter transport. This was done by performing simulations using the continuous-time Monte Carlo algorithm and Kawasaki dynamics. The problem was also set up as a solid-on-solid model, with formulate which corresponded to Langevin equations for the dynamics in 2 cases: with and without matter conservation.

Relaxation Dynamics of a System with a Grain Boundary. D.B.Abraham, V.Mustonen, A.J.Wood: Physical Review E, 2004, 70[6], 066138 (11pp)