Microcanonical Foundation for Systems with Power-Law Distributions
  Starting from microcanonical basis with the principle of equal a priori probability, it is found that, besides ordinary Boltzmann-Gibbs theory with the exponential distribution, a theory describing systems with power-law distributions can also be derived. 
Sumiyoshi Abe (1)and A. K. Rajagopal (2)((1)College of Science and   Technology, Nihon University, Funabashi, Chipba, Japan ...