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 (η q ) are derived by solving the Boltzmann equation in the relaxation-time approximation. The available experimental results to the ratio K q /η q constrains the q-parameter on the interval 0.74 ≤ q ≤ 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.
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