# Possible generalization of Boltzmann-Gibbs statistics

@article{Tsallis1988PossibleGO, title={Possible generalization of Boltzmann-Gibbs statistics}, author={Constantino Tsallis}, journal={Journal of Statistical Physics}, year={1988}, volume={52}, pages={479-487} }

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.

## 7,041 Citations

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