IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v510y2018icp486-491.html
   My bibliography  Save this article

Nonlinear behavior of plasma: Connection with nonextensive statistics

Author

Listed:
  • Qiu, Hui-Bin
  • Liu, San-Qiu

Abstract

Nonextensive hydrodynamic equations and Zakharov equations are derived by moment equation and two time-scale methods, respectively. The conserved quantities and nonlinear entity collapse scalar law are obtained, from which we find that the conservation energy is relevant to the nonextensive parameter but momentum as well as angular momentum and the number of plasmon are not affected by the nonextensivity of system. The self-similar collapse solution of nonextensive Zakharov equations is also presented. Furthermore, we demonstrate that the nonlinear entity collapse scalar law is relevant to the nonextensive parameter and especially it allows the existence of three dimensional stable and one dimensional collapse nonlinear entity, which is significantly different from the case of Maxwellian distribution. In the extensive limit, all the results obtained in Maxwellian framework are reproduced.

Suggested Citation

  • Qiu, Hui-Bin & Liu, San-Qiu, 2018. "Nonlinear behavior of plasma: Connection with nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 486-491.
  • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:486-491
    DOI: 10.1016/j.physa.2018.06.124
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118308483
    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.2018.06.124?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. Cohen, E.G.D, 2002. "Statistics and dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 19-26.
    2. Upadhyaya, Arpita & Rieu, Jean-Paul & Glazier, James A. & Sawada, Yasuji, 2001. "Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 549-558.
    Full references (including those not matched with items on IDEAS)

    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. Priscila C A da Silva & Tiago V Rosembach & Anésia A Santos & Márcio S Rocha & Marcelo L Martins, 2014. "Normal and Tumoral Melanocytes Exhibit q-Gaussian Random Search Patterns," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-13, September.
    2. Ilya Yurchenko & Joao Marcos Vensi Basso & Vladyslav Serhiiovych Syrotenko & Cristian Staii, 2019. "Anomalous diffusion for neuronal growth on surfaces with controlled geometries," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-21, May.
    3. Qi, Jie & Rong, Zhihai, 2013. "The emergence of scaling laws search dynamics in a particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1522-1531.
    4. Ván, P., 2006. "Unique additive information measures—Boltzmann–Gibbs–Shannon, Fisher and beyond," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 28-33.
    5. Thomas, Gilberto L. & Mironov, Vladimir & Nagy-Mehez, Agnes & Mombach, José C.M., 2014. "Dynamics of cell aggregates fusion: Experiments and simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 247-254.
    6. Michael Fritsch & Moritz Zoellner, 2022. "Actor Fluidity and Knowledge Persistence in Regional Inventor Networks," Economies, MDPI, vol. 10(12), pages 1-20, November.
    7. Tatiane Souza Vilela Podestá & Tiago Venzel Rosembach & Anésia Aparecida dos Santos & Marcelo Lobato Martins, 2017. "Anomalous diffusion and q-Weibull velocity distributions in epithelial cell migration," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-19, July.
    8. Aristoklis D. Anastasiadis & Marcelo P. Albuquerque & Marcio P. Albuquerque & Diogo B. Mussi, 2010. "Tsallis q-exponential describes the distribution of scientific citations—a new characterization of the impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(1), pages 205-218, April.
    9. Cirto, Leonardo J.L. & Assis, Vladimir R.V. & Tsallis, Constantino, 2014. "Influence of the interaction range on the thermostatistics of a classical many-body system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 286-296.
    10. 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.
    11. Vignat, Christophe & Naudts, Jan, 2005. "Stability of families of probability distributions under reduction of the number of degrees of freedom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 296-302.
    12. 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.

    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:510:y:2018:i:c:p:486-491. 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.