A geometric representation of the entropy group has been derived for the general law of composition of parametric entropies with quadratic nonlinearity in nonextensive statistical mechanics. Hyperbolic functions of two-parameter entropy and the Havrda–Charvat–Daróczy entropy and also hyperbolic number functions have been determined in different geometries.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No.1, pp. 7–14, January, 2014.
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Zaripov, R.G. Geometric Representation of the Entropy Group in Nonextensive Statistical Mechanics. Russ Phys J 57, 6–15 (2014). https://doi.org/10.1007/s11182-014-0200-3
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DOI: https://doi.org/10.1007/s11182-014-0200-3