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Transport coefficients and nonextensive statistics

J. R. Bezerra·R. Silva·J. A. S. Lima
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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 ($η_q$) 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 $0.74 \leq q \leq 1$. 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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J. R. Bezerra, R. Silva, J. A. S. Lima. 2002-01-29. Transport coefficients and nonextensive statistics. https://doi.org/10.1016/s0378-4371(02)01813-7

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