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Gravity and a geometrisation of turbulence: an intriguing correspondence

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Abstract:

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 characterised by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: a geometrisation of turbulence.

Keywords: AdS/CFT correspondence; black hole horizons; dynamics of fluids; gravity; turbulence

Document Type: Research Article

DOI: https://doi.org/10.1080/00107514.2010.512775

Affiliations: 1: SISSA, Trieste, Italy,INFN Sezione di Trieste, via Valerio 2, Italy 2: Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, Israel

Publication date: 2011-01-01

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