Abstract
For natural flows, a definition equivalent to the Chezy-Manning mechanical equation is developed, but based on Coulomb interactions, which includes a state function that describes the evolution of tracer particles in turbulence. This makes it possible to overcome reductionist approaches (Navier-Stokes), which are limited by their complexity. This function shows the variation of the degrees of freedom of dispersion, as well as the statistical coupling of the solute with the flow, allowing to characterize very large or complex channels in “Dynamic Equilibrium.” An approach is also developed that links this function to universal constants of fractal motion.