Multiscale Modeling of Peritectic Reaction Growth
  Peritectic growth of bulk superconducting cuprate perovskite, like YBa2Cu3O7-x has been studied. The microstructure features are recalled. The simplest model giving the best description of the microstructure complexity at the mesoscopic scale is an Eden model adapted to chemical reactions. A repulsive dynamical interaction between the front and the solid 211 particles, rejected by the solidifying matrix, is also taken into account. A growth probability-with chemical reaction and pushing-transfer matrix method is developed. The simulations put into evidence the effect of the initial 211 size distribution on the microstructure. 
Marcel Ausloos (U. Liege), Rudi Cloots, and Nicolas Vandewalle