%0 Journal Article %1 Tsallis1988TsallisStatistics %A Tsallis, Constantino %D 1988 %J Journal of Statistical Physics %K ensembles multifractals statistical-mechanics %N 1/2 %P 479-487 %T Possible generalization of the Boltzmann-Gibbs statistics %U http://link.springer.com/article/10.1007/BF01016429 %V 52 %X With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelyS q ≡k 1 – ∑ i=1 W p i q /(q-1), whereq∈ℝ characterizes the generalization andp i 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.

@article{Tsallis1988TsallisStatistics, abstract = {With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelyS q ≡k [1 – ∑ i=1 W p i q ]/(q-1), whereq∈ℝ characterizes the generalization andp i 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. }, added-at = {2016-03-15T20:27:51.000+0100}, author = {Tsallis, Constantino}, biburl = {https://www.bibsonomy.org/bibtex/2300c24df138029f39da7d923cc2c9229/salotz}, description = {Possible generalization of Boltzmann-Gibbs statistics - Springer}, interhash = {86857911b6cf8331271940c46f374ba3}, intrahash = {300c24df138029f39da7d923cc2c9229}, journal = {Journal of Statistical Physics}, keywords = {ensembles multifractals statistical-mechanics}, number = {1/2}, pages = {479-487}, timestamp = {2016-03-15T20:27:51.000+0100}, title = {Possible generalization of the Boltzmann-Gibbs statistics}, url = {http://link.springer.com/article/10.1007/BF01016429}, volume = 52, year = 1988 }