Constraining nonextensive statistics with plasma oscillation data

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

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 2, 509-516

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.

Keywords: Nonextensive kinetic theory; Plasma physics; Bohm–Gross relation (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:2:p:509-516

DOI: 10.1016/j.physa.2005.02.060

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