2006/01/26 by Arenas, Alex, Chorin, Alexandre
#Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Other Condensed Matter (cond-mat.other)
paper · doi:10.48550/arxiv.cond-mat/0601610
We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.