Macroscopic thermodynamics of equilibrium characterized by power-law   canonical distributions
  Macroscopic thermodynamics of equilibrium is constructed for systems obeying power-law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is complementary to the Gibbs theorem for the celebrated exponential canonical distributions of systems in contact with a heat bath. Thereby, a thermodynamic basis is provided for power-law phenomena ubiquitous in nature. 
Sumiyoshi Abe (1) and A. K. Rajagopal (2)((1)College of Science and   Technology, Nihon University, Funabashi, Chiba, Japan,...