It is shown that in turbulent flows the distributed chaos with spontaneously broken translational space symmetry ( homogeneity ) has a stretched exponential spectrum \exp - ( k / k _ { \beta } ) ^ { \beta } with \beta = 1 / 2 .
Good agreement has been established between the theory and the data of direct numerical simulations of isotropic homogeneous turbulence ( energy dissipation rate field ) , of a channel flow ( velocity field ) , of a fully developed boundary layer flow ( velocity field ) , and the experimental data at the plasma edges of different fusion devices ( stellarators and tokamaks ) .
An astrophysical application to the large-scale galaxies distribution has been briefly discussed and good agreement with the data of recent Sloan Digital Sky Survey SDSS-III has been established .