Hierarchical representation of generalized (nonadditive) thermodynamics

A recurrence relation leading to a probability distribution of microstates at different hierarchical levels of a nonadditive statistical system is examined (for the upper level the relation reduces to the Tsallis distribution [C. Tsallis, Physica A 221, 227 (1995)]). The processes leading to the formation and decay of a hierarchical statistical ensemble are described. Pis’ma Zh. éksp. Teor. Fiz. 69, No. 5, 391–394 (10 March 1999)