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Constraining nonextensive statistics with plasma oscillation data

Author

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  • Silva, R.
  • Alcaniz, J.S.
  • Lima, J.A.S.

Abstract

We discuss new experimental constraints on the free parameter of the nonextensive kinetic theory from measurements of the thermal dispersion relation in a collisionless plasma. For electrostatic plane-wave propagation, we show through a statistical analysis that a good agreement between theory and experiment is possible if the allowed values of the q-parameter are restricted by q=0.77±0.03 at 95% confidence level (or equivalently, 2-q=1.23, in the largely adopted convention for the entropy index q). Such a result rules out (by a large statistical margin) the standard Bohm–Gross dispersion relation which is derived assuming that the stationary Maxwellian distribution (q=1) is the unperturbed solution.

Suggested Citation

  • Silva, R. & Alcaniz, J.S. & Lima, J.A.S., 2005. "Constraining nonextensive statistics with plasma oscillation data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 509-516.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:509-516
    DOI: 10.1016/j.physa.2005.02.060
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    Cited by:

    1. Sharifi, M. & Nasrabadi, M.N., 2020. "Ordinary and extraordinary waves in hot nonextensive plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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