Normalized Tsallis entropy and its implications for the nonextensive thermostatistics

Implications from a thermostatistics based on normalized Tsallis entropy, introduced by Rajagopal and Abe (Phys. Rev. Lett. 83 (1999) 1911) are analyzed. In particular, this normalization gives the thermodynamic stability, Cq>0, for Tsallis formalism, leading to a natural extension to the fluctuation–dissipation theorem. Furthermore, an example is worked out in connection with a fractal spectrum of energy, suggesting the relevance of the present formalism.