Thermodynamics from first principles: Correlations and nonextensivity.

  title={Thermodynamics from first principles: Correlations and nonextensivity.},
  author={S. N. Saadatmand and Tim Gould and Eric G. Cavalcanti and Joan A. Vaccaro},
  journal={Physical review. E},
  volume={101 6-1},
The standard formulation of thermostatistics, being based on the Boltzmann-Gibbs distribution and logarithmic Shannon entropy, describes idealized uncorrelated systems with extensive energies and short-range interactions. In this Rapid Communication, we use the fundamental principles of ergodicity (via Liouville's theorem), the self-similarity of correlations, and the existence of the thermodynamic limit to derive generalized forms of the equilibrium distribution for long-range-interacting… 
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