publication . Other literature type . Article . 1988

Possible Generalization of Boltzmann-Gibbs Statistics

Constantino Tsallis;
  • Published: 01 Jul 1988
  • Publisher: Springer Science and Business Media LLC
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.
Subjects
free text keywords: Tsallis distribution, q-Gaussian, Entropy in thermodynamics and information theory, Tsallis entropy, Rényi entropy, Statistical physics, q-exponential distribution, H-theorem, Nonextensive entropy, Mathematics, Statistics
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