Cooperatively rearranging regions in a two-spin facilitated kinetic Ising model

Spin-facilitated kinetic Ising models are reasonable models for a study of cooperative dynamics that is assumed in supercooled liquids. The present numerical study of a two-dimensional model confirms the existence of cooperatively rearranging regions by quantitative results. A broad distribution of relevant sizes suggests that the kinetic of spin-facilitated kinetic Ising models can be characterized by a strong pronounced heterogeneity. On the other hand, a characteristic length scale corresponding to a dominant fraction of cooperative regions cannot be supported. Furthermore, the temperature dependence of various quantities of the cooperative regions reflects the typical non-Arrhenius behavior of supercooled liquids.