Langevin based turbulence model and its relationship with Kappa distributions.

Kappa distributions (or [Formula: see text]-like distributions) represent a robust framework to characterize and understand complex phenomena with high degrees of freedom, as turbulent systems, using non-extensive statistical mechanics. Here we consider a coupled map lattice Langevin based model to analyze the relation of a turbulent flow, with its spatial scale dynamic, and [Formula: see text]-like distributions. We generate the steady-state velocity distribution of the fluid at each scale, and show that the generated distributions are well fitted by [Formula: see text]-like distributions.