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Algebra and calculus for Tsallis thermo-statistics

Author

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  • Kalogeropoulos, Nikos

Abstract

We construct generalized additions and multiplications, forming fields and division algebras inspired by the Tsallis thermo-statistics. We also construct derivations and integrations in this spirit. These operations do not reduce to the naively expected ones, when the deformation parameter approaches zero.

Suggested Citation

  • Kalogeropoulos, Nikos, 2005. "Algebra and calculus for Tsallis thermo-statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 408-418.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:408-418
    DOI: 10.1016/j.physa.2005.05.100
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    Cited by:

    1. Nelson, Kenric P., 2015. "A definition of the coupled-product for multivariate coupled-exponentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 187-192.
    2. Sotolongo-Grau, O. & Rodriguez-Perez, D. & Sotolongo-Costa, O. & Antoranz, J.C., 2013. "Tsallis entropy approach to radiotherapy treatments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2007-2015.
    3. Martinez, Alexandre Souto & González, Rodrigo Silva & Terçariol, César Augusto Sangaletti, 2008. "Continuous growth models in terms of generalized logarithm and exponential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5679-5687.

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