Entropies of Mixing and the Lorenz Order

Details Entropies of Mixing and the Lorenz Order Entropies of Mixing and the Lorenz Order

2005-02-14

arxiv.org/abs/cond-mat/0502330v1

Open Systems & Information Dynamics 13 (2006) 75-90

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

Entropies of mixing can be derived directly from the parent distributions of extreme value theory. They correspond to pseudo-additive entropies in the case of Pareto and power function distributions, while to the Shannon entropy in the case of the exponential distribution.The former tend to the latter when their shape parameters tend to infinity and zero, respectively. Hence processes whose entropies of mixing are pseudo-additive entropies majorize, in the Lorenz order sense, those whose entropy is the Shannon entropy. In the case of the arcsine distribution, maximal properties of regular polygons correspond to maximum entropy of mixing.

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