Gravitation, thermodynamics, and the bound on viscosity

Details Gravitation, thermodynamics, and the bound on viscosity Gravitation, thermodynamics, and the bound on viscosity

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2295h&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 10, pp.2295-2299

Physics

1

Viscosity Bound, Gravitation, Relaxation Bound

Scientific paper

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein gravity dual, the AdS/CFT correspondence predicts a universal value for the ratio of the shear viscosity to the entropy density, η/s = 1/4 π. It was conjectured recently that all fluids conform to the lower bound η/s ≥ 1/4 π. This conjectured bound has been the focus of much recent attention. However, despite the flurry of research in this field we still lack a proof for the general validity of the bound. In this essay we show that this mysterious bound is actually a direct outcome of the interplay between gravity, quantum theory, and thermodynamics.

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