Diffusion models generate joint pairs of Lagrangian trajectories that reproduce turbulent pair separation statistics, including deviations from Richardson scaling, while preserving single-particle properties.
Statistics of two-particle dispersion in two- dimensional turbulence.Physics of fluids, 14(9):3224–3232
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Turbulent pair dispersion with Stochastic Generative Diffusion Models
Diffusion models generate joint pairs of Lagrangian trajectories that reproduce turbulent pair separation statistics, including deviations from Richardson scaling, while preserving single-particle properties.