Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T12:18:04.388Z Has data issue: false hasContentIssue false
  • English
  • Français

Ambiguities in the Tsallis description of non-thermal plasma species

Published online by Cambridge University Press:  21 October 2013

FRANK VERHEEST
FRANK VERHEEST*
Affiliation:
Sterrenkundig Observatorium, Universiteit Gent, Krijgslaan 281, B–9000 Gent, BelgiumSchool of Chemistry and Physics, University of KwaZulu-Natal, Durban 4000, South Africa ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Tsallis q-non-extensive distributions have recently found favor in describing the presence of energetic particles and their influences on several plasma modes, notably electrostatic solitons. Here attention is drawn to ambiguities and subtleties in the superextensive and subextensive ranges in q, which are not always recognized in the literature, particularly in numerical studies.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Special Issue 6: Special issue in memory of Professor Padma Kant Shukla 1950-2013 , December 2013 , pp. 1031 - 1034
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cairns, R. A., Mamun, A. A., Bingham, R., Boström, R., Dendy, R. O., Nairn, C. M. C. and Shukla, P. K. 1995 Electrostatic solitary structures in non-thermal plasmas. Geophys. Res. Lett. 22, 2709–2712.CrossRefGoogle Scholar
Hellberg, M. A., Mace, R. L., Baluku, T. K., Kourakis, I. and Saini, N. S. 2009 Comment on mathematical and physical aspects of Kappa velocity distribution [Phys. Plasmas 14, 110702 (2007)]. Phys. Plasmas 16, 094701.CrossRefGoogle Scholar
Lima, J. A. S., Silva, R. Jr. and Santos, J. 2000 Plasma oscillations and non-extensive statistics. Phys. Rev. E 61, 3260–3263.CrossRefGoogle Scholar
Livadiotis, G. and McComas, D. J. 2009 Beyond kappa distributions: exploiting Tsallis statistical mechanics in space plasmas. J. Geophys. Res. Space Phys. 114, A11105.CrossRefGoogle Scholar
Livadiotis, G. and McComas, D. J. 2011 Invariant kappa distribution in space plasmas out of equilibrium. Astrophys. J. 741, 88.CrossRefGoogle Scholar
Saberian, E. and Esfandyari-Kalejahi, A. 2013 Langmuir oscillations in a non-extensive electron-positron plasma. Phys. Rev. E 87, 053112.CrossRefGoogle Scholar
Tribeche, M., Amour, R. and Shukla, P. K. 2012 Ion acoustic solitary waves in a plasma with non-thermal electrons featuring Tsallis distribution. Phys. Rev. E 85, 037401.CrossRefGoogle Scholar
Tsallis, C. 1988 Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479–487.CrossRefGoogle Scholar
Vasyliunas, V. M. 1968 A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3. J. Geophys. Res. 73, 2839–2884.CrossRefGoogle Scholar
Williams, G., Kourakis, I., Verheest, F. and Hellberg, M. A. 2013 Re-examining the Cairns-Tsallis model for ion acoustic solitons. Phys. Rev. E 88, 023103.CrossRefGoogle ScholarPubMed