Gravity and a Geometrization of Turbulence: An Intriguing Correspondence

Details Gravity and a Geometrization of Turbulence: An Intriguing Correspondence Gravity and a Geometrization of Turbulence: An Intriguing Correspondence

2010-04-15

arxiv.org/abs/1004.2632v2

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 4 figures, Latex, version to appear in Contemporary Physics

Scientific paper

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.

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