Fig. 2: Statistics of acceleration.
From: Synthetic Lagrangian turbulence by generative diffusion models
Standardized PDFs of one generic component of the acceleration, ai, for ground-truth DNS data (black line), synthetically generated data from DM-1c (blue line with circles) and that from DM-1c-10% (green line with squares). Notice the ability of DM-1c to well generalize the statistical trend for rare intense fluctuations never experienced during the training phase with the DNS data. The statistics of the DM-1c and DM-1c-10% data are based on 86 and 22 times the number of trajectories in the DNS, respectively. Inset: acceleration correlation function.
