Journal
PHYSICAL REVIEW E
Volume 61, Issue 3, Pages 3260-3263Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevE.61.3260
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The dispersion relations for electrostatic plane-wave propagation in a collisionless thermal plasma are discussed in the context of the nonextensive statistics proposed by Tsallis. Analytic formulas both for the undamped (Bohm-Gross) and Landau damped waves are derived and compared with the standard results. In the extensive limiting case (q = 1), the classical dispersion relations based on the Maxwellian distribution are recovered. It is shown that the experimental results points to a class of Tsallis's velocity distribution described by a nonextensive q-parameter smaller than unity.
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