Simulations, with periodic boundary conditions, were made of pattern formation by edge dislocations in 2 dimensions by adding the forces which acted on each dislocation due to all of the others. External stresses were also incorporated. Only that dislocation which was subjected to the highest force was moved during each step. The simulations permitted either both climb and glide, or glide alone. Dislocations walls were found to form in both cases. However, when each dislocation was limited to glide along a line, the resultant pattern did not exhibit well-defined dislocation cells.

When do 2D Dislocations form Cellular Structures? N.Argaman, O.Levy, G.Makov: Materials Science and Engineering A, 2001, 309-310, 386–92