GEOMETRIC AND HEALING LAWS IN SIMPLE STOCHASTIC-MODELS OF FRACTURE INA SPUTTERING PROCESS

We investigated two simple models of two-dimensional square lattice fr acture under sputtering process conditions extending a previously stud ied model by Ausloos and Kowalski [Phys. Rev. B 45, 12 830 (1992)]. Th e models differ by the particle displacement rules during the fracture . Healing of the medium is observed in both models. This effect implie s the formation of several thresholds during sputtering process fractu re. They are distributed as a size-dependent power law. An avalancheli ke exponent is also obtained. We study this phenomenology within scali ng arguments of classical percolation theory and mean-field arguments.