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Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere

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  • Burlaga, L.F.
  • F.-Viñas, A.

Abstract

Tsallis [Physica A 340 (2004) 1) identified a set of numbers, the “q-triplet” ≡ {qstat, qsen, qrel}, for a system described by non-extensive statistical mechanics. The deviation of the q's from unity is a measure of the departure from thermodynamic equilibrium. We present observations of the q-triplets derived from two sets of daily averages of the magnetic field strength B observed by Voyager 1 in the solar wind near 40A.U. during 1989 and near 85A.U. during 2002, respectively. The results for 1989 do not differ significantly from those for 2002. We find qstat=1.75±0.06, qsen=-0.6±0.2, and qrel=3.8±0.3.

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  • Burlaga, L.F. & F.-Viñas, A., 2006. "Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 173-179.
    • Handle: RePEc:eee:phsmap:v:361:y:2006:i:1:p:173-179
    DOI: 10.1016/j.physa.2005.06.097
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    1. E. Brigatti & J. Sá Martins & I. Roditi, 2004. "Scaling properties of the Penna model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 42(3), pages 431-434, December.
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    Cited by:

    1. Stosic, Darko & Stosic, Dusan & Ludermir, Teresa B. & Stosic, Tatijana, 2018. "Nonextensive triplets in cryptocurrency exchanges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1069-1074.
    2. Chernyshov, A.A. & Kozelov, B.V. & Mogilevsky, M.M., 2024. "Non-extensive (Tsallis) q-statistics and auroral glow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    3. Dusan Stosic & Darko Stosic & Tatijana Stosic, 2019. "Nonextensive triplets in stock market indices," Papers 1901.07721, arXiv.org.
    4. Stosic, Dusan & Stosic, Darko & Stosic, Tatijana, 2019. "Nonextensive triplets in stock market indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 192-198.
    5. Ferri, Gustavo L. & Figliola, Alejandra & Rosso, Osvaldo A., 2012. "Tsallis’ statistics in the variability of El Niño/Southern Oscillation during the Holocene epoch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2154-2162.
    6. Ferri, G.L. & Reynoso Savio, M.F. & Plastino, A., 2010. "Tsallis’ q-triplet and the ozone layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1829-1833.

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