Transport coefficients and nonextensive statistics

Abstract

We discuss the basic transport phenomena in gases and plasmas obeying the $q$-nonextensive velocity distribution (power-law). Analytical expressions for the thermal conductivity ($K_q$) and viscosity (${\eta }_q$) are derived by solving the Boltzmann equation in the relaxation-time approximation. The available experimental results to the ratio {$K_q$}/${\eta }_q$ constrains the $q$-parameter on the interval $0.74\le q\le 1$. In the extensive limiting case, the standard transport coefficients based on the local Gaussian distribution are recovered, and due to a surprising cancellation, the electric conductivity of a neutral plasma is not modified.

14 pages, 3 figures, REVTEX, submitted to PRE

References in corpus (2)

• Nonextensive Thermostatistics and the H-Theorem
• Transport Theory in the Context of the Normalized Generalized Statistics

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