Possible generalization of Boltzmann-Gibbs statistics

@article{Tsallis1988PossibleGO,
  title={Possible generalization of Boltzmann-Gibbs statistics},
  author={C. Tsallis},
  journal={Journal of Statistical Physics},
  year={1988},
  volume={52},
  pages={479-487}
}
  • C. Tsallis
  • Published 1988
  • Mathematics
  • Journal of Statistical Physics
With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the probabilities associated withW (microscopic) configurations (W∈ℕ). The main properties associated with this entropy are established, particularly those corresponding to the microcanonical and canonical ensembles. The Boltzmann-Gibbs statistics is recovered as theq→1 limit. 
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