IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i9p1829-1833.html
   My bibliography  Save this article

Tsallis’ q-triplet and the ozone layer

Author

Listed:
  • Ferri, G.L.
  • Reynoso Savio, M.F.
  • Plastino, A.

Abstract

Tsallis’ q-triplet [C. Tsallis, Dynamical scenario for nonextensive statistical mechanics, Physica A 340 (2004) 1–10] is the best empirical quantifier of nonextensivity. Here we study it with reference to an experimental time-series related to the daily depth-values of the stratospheric ozone layer. Pertinent data are expressed in Dobson units and range from 1978 to 2005. After the evaluation of the three associated Tsallis’ indices one concludes that nonextensivity is clearly a characteristic of the system under scrutiny.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:9:p:1829-1833
    DOI: 10.1016/j.physa.2009.12.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109010164
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2009.12.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tsallis, Constantino, 2004. "Dynamical scenario for nonextensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 1-10.
    2. Ausloos, M. & Petroni, F., 2007. "Tsallis non-extensive statistical mechanics of El Niño southern oscillation index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 721-736.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pavlos, G.P. & Malandraki, O.E. & Pavlos, E.G. & Iliopoulos, A.C. & Karakatsanis, L.P., 2016. "Non-extensive statistical analysis of magnetic field during the March 2012 ICME event using a multi-spacecraft approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 149-181.
    2. 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.
    3. Pavlos, G.P. & Iliopoulos, A.C. & Tsoutsouras, V.G. & Sarafopoulos, D.V. & Sfiris, D.S. & Karakatsanis, L.P. & Pavlos, E.G., 2011. "First and second order non-equilibrium phase transition and evidence for non-extensive Tsallis statistics in Earth’s magnetosphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(15), pages 2819-2839.
    4. Dusan Stosic & Darko Stosic & Tatijana Stosic, 2019. "Nonextensive triplets in stock market indices," Papers 1901.07721, arXiv.org.
    5. Hoyos, Isabel & Rodríguez, Boris Anghelo, 2020. "Drawing the complexity of Colombian climate from non-extensive extreme behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    6. Pavlos, G.P. & Iliopoulos, A.C. & Zastenker, G.N. & Zelenyi, L.M. & Karakatsanis, L.P. & Riazantseva, M.O. & Xenakis, M.N. & Pavlos, E.G., 2015. "Tsallis non-extensive statistics and solar wind plasma complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 113-135.
    7. Stosic, Tatijana & Stosic, Borko & Singh, Vijay P., 2018. "q-triplet for Brazos River discharge: The edge of chaos?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 137-142.
    8. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Pavlos, E.G. & Iliopoulos, A.C. & Sarafopoulos, D.V., 2014. "Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 58-95.
    9. 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.
    10. Rui Pascoal & Ana Margarida Monteiro, 2013. "Market Efficiency, Roughness and Long Memory in the PSI20 Index Returns: Wavelet and Entropy Analysis," GEMF Working Papers 2013-27, GEMF, Faculty of Economics, University of Coimbra.
    11. Antoniades, I.P. & Karakatsanis, L.P. & Pavlos, E.G., 2021. "Dynamical characteristics of global stock markets based on time dependent Tsallis non-extensive statistics and generalized Hurst exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    12. Karakatsanis, L.P. & Pavlos, G.P. & Iliopoulos, A.C. & Pavlos, E.G. & Clark, P.M. & Duke, J.L. & Monos, D.S., 2018. "Assessing information content and interactive relationships of subgenomic DNA sequences of the MHC using complexity theory approaches based on the non-extensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 77-93.
    13. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N., 2012. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6287-6319.
    14. Siddiqui, Maheen & Wedemann, Roseli S. & Jensen, Henrik Jeldtoft, 2018. "Avalanches and generalized memory associativity in a network model for conscious and unconscious mental functioning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 127-138.
    15. 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.
    16. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Sarafopoulos, D. & Pavlos, E.G., 2012. "Tsallis statistics and magnetospheric self-organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3069-3080.
    17. Karakatsanis, L.P. & Pavlos, G.P. & Xenakis, M.N., 2013. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar flares dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3920-3944.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Dusan Stosic & Darko Stosic & Tatijana Stosic, 2019. "Nonextensive triplets in stock market indices," Papers 1901.07721, arXiv.org.
    5. Kalimeri, M. & Papadimitriou, C. & Balasis, G. & Eftaxias, K., 2008. "Dynamical complexity detection in pre-seismic emissions using nonadditive Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1161-1172.
    6. Pavlos, G.P. & Karakatsanis, L.P. & Iliopoulos, A.C. & Pavlos, E.G. & Xenakis, M.N. & Clark, Peter & Duke, Jamie & Monos, D.S., 2015. "Measuring complexity, nonextensivity and chaos in the DNA sequence of the Major Histocompatibility Complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 188-209.
    7. Antoniades, I.P. & Karakatsanis, L.P. & Pavlos, E.G., 2021. "Dynamical characteristics of global stock markets based on time dependent Tsallis non-extensive statistics and generalized Hurst exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    8. Rui Pascoal & Ana Margarida Monteiro, 2013. "Market Efficiency, Roughness and Long Memory in the PSI20 Index Returns: Wavelet and Entropy Analysis," GEMF Working Papers 2013-27, GEMF, Faculty of Economics, University of Coimbra.
    9. Petroni, Filippo & Ausloos, Marcel, 2008. "High frequency intrinsic modes in El Niño/Southern Oscillation Index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5246-5254.
    10. Stosic, Tatijana & Stosic, Borko & Singh, Vijay P., 2018. "q-triplet for Brazos River discharge: The edge of chaos?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 137-142.
    11. Pavlos, G.P. & Malandraki, O.E. & Pavlos, E.G. & Iliopoulos, A.C. & Karakatsanis, L.P., 2016. "Non-extensive statistical analysis of magnetic field during the March 2012 ICME event using a multi-spacecraft approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 149-181.
    12. Balasis, Georgios & Daglis, Ioannis A. & Anastasiadis, Anastasios & Papadimitriou, Constantinos & Mandea, Mioara & Eftaxias, Konstantinos, 2011. "Universality in solar flare, magnetic storm and earthquake dynamics using Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 341-346.
    13. Karakatsanis, L.P. & Pavlos, G.P. & Iliopoulos, A.C. & Pavlos, E.G. & Clark, P.M. & Duke, J.L. & Monos, D.S., 2018. "Assessing information content and interactive relationships of subgenomic DNA sequences of the MHC using complexity theory approaches based on the non-extensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 77-93.
    14. Suyari, Hiroki & Wada, Tatsuaki, 2008. "Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 71-83.
    15. Pavlos, G.P. & Iliopoulos, A.C. & Zastenker, G.N. & Zelenyi, L.M. & Karakatsanis, L.P. & Riazantseva, M.O. & Xenakis, M.N. & Pavlos, E.G., 2015. "Tsallis non-extensive statistics and solar wind plasma complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 113-135.
    16. Chan-juan Li & Yuan-qing Chai & Lin-sheng Yang & Hai-rong Li, 2016. "Spatio-temporal distribution of flood disasters and analysis of influencing factors in Africa," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(1), pages 721-731, May.
    17. Hoyos, Isabel & Rodríguez, Boris Anghelo, 2020. "Drawing the complexity of Colombian climate from non-extensive extreme behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    18. Iliopoulos, A.C. & Aifantis, E.C., 2018. "Tsallis q-triplet, intermittent turbulence and Portevin–Le Chatelier effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 17-32.
    19. 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).
    20. Ioannis P. Antoniades & Leonidas P. Karakatsanis & Evgenios G. Pavlos, 2020. "Dynamical Characteristics of Global Stock Markets Based on Time Dependent Tsallis Non-Extensive Statistics and Generalized Hurst Exponents," Papers 2012.06856, arXiv.org, revised Apr 2021.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:389:y:2010:i:9:p:1829-1833. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.