ISSN:
1572-9613
Keywords:
Generalized statistics
;
entropy
;
multifractals
;
statistical ensembles
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01016429
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