Maximizing generalized entropy S_{q,δ} under kinetic energy constraints produces velocity difference distributions matching Taylor-Couette turbulence data, with δ=3/2 at the Kolmogorov scale where eddies vanish and a derived relation δ^{-1}(r)=2-q(r) holds in the measurements.
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Turbulence: An Entropic Approach
Maximizing generalized entropy S_{q,δ} under kinetic energy constraints produces velocity difference distributions matching Taylor-Couette turbulence data, with δ=3/2 at the Kolmogorov scale where eddies vanish and a derived relation δ^{-1}(r)=2-q(r) holds in the measurements.