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Bivariate superstatistics: an application to statistical plasma physics

Author

Listed:
  • Ewin Sánchez

    (Instituto de Investigación Mutidisciplinar en Ciencia y Tecnología de la Universidad de La Serena)

  • Manuel González-Navarrete

    (Universidad del Bío-Bío)

  • Christian Caamaño-Carrillo

    (Universidad del Bío-Bío)

Abstract

From a bivariate superstatistics, we show that it is possible to obtain a generalized Kappa distribution, currently known for their great performance describing many anisotropic high-energy tail plasmas. Some particular cases obtained through this procedure are shown in this paper, and, on the other hand, the bimodality effect of marginal on the stationary superstatistical distribution is explored. Graphic abstract

Suggested Citation

  • Ewin Sánchez & Manuel González-Navarrete & Christian Caamaño-Carrillo, 2021. "Bivariate superstatistics: an application to statistical plasma physics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-7, February.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:2:d:10.1140_epjb_s10051-021-00066-2
    DOI: 10.1140/epjb/s10051-021-00066-2
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    References listed on IDEAS

    as
    1. Chung, Won Sang & Hassanabadi, Hassan, 2020. "Doubly superstatistics with bivariate modified Dirac delta distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    2. Yalcin, G. Cigdem & Beck, Christian, 2013. "Environmental superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5431-5452.
    3. Kosun, Caglar & Ozdemir, Serhan, 2016. "A superstatistical model of vehicular traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 466-475.
    4. Christian Caamaño-Carrillo & Javier E. Contreras-Reyes & Manuel González-Navarrete & Ewin Sánchez, 2020. "Bivariate superstatistics based on generalized gamma distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-7, March.
    5. Leon Chen, L. & Beck, Christian, 2008. "A superstatistical model of metastasis and cancer survival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3162-3172.
    6. Briggs, Keith & Beck, Christian, 2007. "Modelling train delays with q-exponential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 498-504.
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