CONICET | Buscador de Institutos y Recursos Humanos

General properties of N-dimensional multi-component or many-particle systems exhibiting self-similar hierarchical structure are presented. The entire system is partitioned into cells, which have an associated generalized entropy S ( D ) that is shown to be a universal function of the fractal dimension D of the configurations, exhibiting self-similarity properties which are independent of the dimensionality N. This provides a general way to classify the components of the system according to entropical reasons, independently of the observer´s criteria. For certain complex systems, the normalized S ( D ) may also be associated with the large time stationary profile of the fractal density distribution in the absence of external fields (or control).