DISLOCATION PATTERNS FROM REACTION-DIFFUSION MODELS

We addressed the formation of dislocation patterns by using a reaction -diffusion model (proposed some years ago) where well-known dislocatio n interaction mechanisms are represented by linear and non-linear term s. The non-linear analysis developed shows that it is possible to obta in a rich dynamical behaviour with spatial and/or temporal patterns, w hich one could be tempted to associate to those observed experimentall y (e.g. persistent slip bands, rod-like structures or cell structures) . However, the transformation of the reaction-diffusion model into its Ginzburg-Landau equation leads to unexpected results showing the limi tation of the model.