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New 'Superdiffusion' Proof Probes the Mysterious Math of Turbulence
Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.
For decades, it seemed that anyone studying turbulence had a choice — either use vague, hand-waving arguments to make strong conjectures as the team of physicists had, or stick to rigorous mathematics and prove things a fraction as significant. The result, which the mathematicians divided intotwo different papers, provides the first rigorous mathematical understanding of a peculiarity of turbulent fluids: the way they spread particles around with breathtaking efficiency. In real-life turbulence — which the simplified fluid from the conjecture only modeled in the roughest sense — the scales interact in stronger and more complex ways, leading to more extreme superdiffusive behavior.
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