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Transport Equation for Small Systems and Nonadditive Entropy

Author

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  • Eugenio Megías

    (Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Avenida de Fuente Nueva s/n, 18071 Granada, Spain
    These authors contributed equally to this work.)

  • Jose A. S. Lima

    (Instituto de Astronomia e Geofísica da Universidade de São Paulo, Rua do Matão 1371, Butantã, São Paulo 05580-090, SP, Brazil
    These authors contributed equally to this work.)

  • Airton Deppman

    (Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, Butantã, São Paulo 05580-090, SP, Brazil
    These authors contributed equally to this work.)

Abstract

The nonadditive entropy introduced by Tsallis in 1988 has been used in different fields and generalizes the Boltzmann entropy, extending the possibilities of the application of the statistical methods developed in the context of Mechanics. Here, we investigate one of the last points of the theory that is still under discussion: the source term of the nonextensive transport equation. Based on a simple system, we show that the nonadditivity is a direct consequence of the phase space topology and derive the source term that leads to the nonextensive transport equation.

Suggested Citation

  • Eugenio Megías & Jose A. S. Lima & Airton Deppman, 2022. "Transport Equation for Small Systems and Nonadditive Entropy," Mathematics, MDPI, vol. 10(10), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1625-:d:812368
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    References listed on IDEAS

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    1. Borges, Ernesto P., 2004. "A possible deformed algebra and calculus inspired in nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 95-101.
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    Cited by:

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