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arXiv · 0805.4587

Non-distributive algebraic structures derived from nonextensive statistical mechanics

Pedro G. S. Cardoso·Ernesto P. Borges·Thierry C. P. Lobão·Suani T. R. Pinho
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Abstract

We propose a two-parametric non-distributive algebraic structure that follows from $(q,q')$-logarithm and $(q,q')$-exponential functions. Properties of generalized $(q,q')$-operators are analyzed. We also generalize the proposal into a multi-parametric structure (generalization of logarithm and exponential functions and the corresponding algebraic operators). All $n$-parameter expressions recover $(n-1)$-generalization when the corresponding $q_n\to1$. Nonextensive statistical mechanics has been the source of successive generalizations of entropic forms and mathematical structures, in which this work is a consequence.

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Pedro G. S. Cardoso, Ernesto P. Borges, Thierry C. P. Lobão, Suani T. R. Pinho. 2008-05-29. Non-distributive algebraic structures derived from nonextensive statistical mechanics. https://doi.org/10.1063/1.2982233

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