renormalization

STUDIES OF SCALE INVARIANT CHANGE-OVER DYNAMICS IN THE HIERARCHICAL MODEL OF DEFECTS DEVELOPMENT

Hierarchical model of defect development makes possible the consideration of both ordinary and self-organized criticality from the common viewpoint. Scale invariant critical state in this model is presented by fixed points of a renormalization transformation, connected with lifting to the next level of hierarchy. So stable fixed points of the transformation correspond to the self-organized criticality and unstable points correspond to the ordinary one.