Possible Generalization of Boltzmann-Gibbs Statistics
198716 pages
Published in:
- J.Statist.Phys. 52 (1988) 479-487
DOI:
Report number:
- CBPF-NF-062-87
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Abstract: (Springer)
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.References(3)
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