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Gravity and a Geometrization of Turbulence: An Intriguing Correspondence
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Gravity and a Geometrization of Turbulence: An Intriguing Correspondence
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The dynamics of fluids is a long standing challenge that remained as an unsolved problem for centuries. Understanding its main features, chaos and turbulence, is likely to provide an understanding of the principles and non-linear dynamics of a large class of systems far from equilibrium. We consider a conceptually new viewpoint to study these features using black hole dynamics. Since the gravitational field is characterized by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: A geometrization of turbulence.
Forward citations
Cited by 1 Pith paper
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Holographic Turbulence and Numerical Estimate of the Fractal Dimension of the Turbulent Horizon
A driven holographic black hole exhibits turbulence whose horizon has fractal dimension D≈2.65 and whose dual fluid energy spectrum scales as k^{−1.79}.
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