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The Universal Statistical Structure and Scaling Laws of Chaos and Turbulence. (arXiv:2311.01358v1 [cond-mat.stat-mech])
stat.ML updates on arXiv.org arxiv.org
Turbulence is a complex spatial and temporal structure created by the strong
non-linear dynamics of fluid flows at high Reynolds numbers. Despite being an
ubiquitous phenomenon that has been studied for centuries, a full understanding
of turbulence remained a formidable challenge. Here, we introduce tools from
the fields of quantum chaos and Random Matrix Theory (RMT) and present a
detailed analysis of image datasets generated from turbulence simulations of
incompressible and compressible fluid flows. Focusing on two observables: the
data …
arxiv challenge chaos dynamics laws linear non-linear numbers scaling spatial statistical temporal tools turbulence understanding