Turbulence: An Entropic Approach (opens in new tab)

We show that maximizing the generalized entropic functional $S_{q,\delta}$ subject to standard kinetic energy constraints provides generalized canonical distributions that agree perfectly with measured probability densities of velocity differences at distance $r$ in highly-turbulent Taylor-Couette flow. The end point of the turbulent cascade is described by $\delta =\frac{3}{2}$, a parameter value that also plays an important role in black-hol...