In this paper we will show that, the non-gaussian statistics framework based on the Kaniadakis statistics is more appropriate to fit the observed distributions of projected rotational velocity measurements of stars in the Pleiades open cluster. To this end, we compare the results from the κ and q-distributions with the Maxwellian.

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.