Abstract
The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics can be seen through three different stages. First, the proposal of an entropic functional for the BG formalism) with the appropriate constraints and for the BG canonical ensemble). Second, through optimization, the equilibrium or stationary-state distribution with for BG). Third, the connection to thermodynamics (e.g., and Assuming temperature fluctuations, Beck and Cohen recently proposed a generalized Boltzmann factor This corresponds to the second stage described above. In this paper, we solve the corresponding first stage, i.e., we present an entropic functional and its associated constraints which lead precisely to We illustrate with all six admissible examples given by Beck and Cohen.
- Received 3 July 2002
DOI:https://doi.org/10.1103/PhysRevE.67.026106
©2003 American Physical Society