Correlated Gaussian systems exhibiting additive power-law entropies
C. Vignat, A. Plastino, A. R. Plastino
Abstract
We show, on purely statistical grounds and without appeal to any physical model, that a power-law q-entropy Sq, with 0<q<1, can be extensive. More specifically, if the components Xi of a vector X ∈ RN are distributed according to a Gaussian probability distribution f, the associated entropy Sq(X) exhibits the extensivity property for special types of correlations among the Xi. We also characterize this kind of correlation.
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