Gravity and a Geometrization of Turbulence: An Intriguing Correspondence
High Energy Physics - Theory
2010-10-29 v2 General Relativity and Quantum Cosmology
Fluid Dynamics
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 characterized by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: A geometrization of turbulence.
Keywords
Cite
@article{arxiv.1004.2632,
title = {Gravity and a Geometrization of Turbulence: An Intriguing Correspondence},
author = {Christopher Eling and Itzhak Fouxon and Yaron Oz},
journal= {arXiv preprint arXiv:1004.2632},
year = {2010}
}
Comments
23 pages, 4 figures, Latex, version to appear in Contemporary Physics