Generalized entropy arising from a distribution of q-indices

Giorgos-Artemios Tsekouras, Constantino Tsallis

It is by now well known that the Boltzmann-Gibbs (BG) entropy $S_{BG}=-k{\sum }_{i=1}^W{p}_i\ln p_i$ can be usefully generalized into the entropy $S_q=k (1-\sum_{i=1}^Wp_i^{q}) / (q-1…