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Tsallis and Kaniadakis Entropic Measures in Polytropic, Logarithmic and Exponential Functions

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  • Amelia Carolina Sparavigna

Abstract

Among nonextensive statistical approaches, those proposed by Constantino Tsallis and Giorgio Kaniadakis had been involved in the study of several physical phenomena. Here, we will discuss the case of the polytropic solutions of self-gravitating fluid spheres used in astrophysics as approximate stellar models. We will see how, in this problem, Tsallis and Kaniadakis entropic measures are related. After, following the same approach, we will find the links between generalized logarithms and exponential functions of the abovementioned entropic measures.

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  • Amelia Carolina Sparavigna, 2015. "Tsallis and Kaniadakis Entropic Measures in Polytropic, Logarithmic and Exponential Functions," International Journal of Sciences, Office ijSciences, vol. 4(11), pages 1-4, November.
    • Handle: RePEc:adm:journl:v:4:y:2015:i:11:p:1-4
    DOI: 10.18483/ijSci.873
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    References listed on IDEAS

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    1. Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
    2. Amelia Carolina Sparavigna, 2015. "Relations Between Tsallis and Kaniadakis Entropic Measures and Rigorous Discussion of Conditional Kaniadakis Entropy," International Journal of Sciences, Office ijSciences, vol. 4(10), pages 47-50, October.
    3. Amelia Carolina Sparavigna, 2015. "On The Generalized Additivity Of Kaniadakis Entropy," International Journal of Sciences, Office ijSciences, vol. 4(02), pages 44-48, February.
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    1. da Silva, Sérgio Luiz E.F. & Silva, R. & dos Santos Lima, Gustavo Z. & de Araújo, João M. & Corso, Gilberto, 2022. "An outlier-resistant κ-generalized approach for robust physical parameter estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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    Keywords

    Entropy; Generalized Entropies;

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