Thermodynamics and Bulk Viscosity of Approximate Black Hole Duals to Finite Temperature Quantum Chromodynamics

DOI10.1103/PHYSREVLETT.101.131601zbMATH Open1228.83069arXiv0804.1950OpenAlexW2071940421WikidataQ51866845 ScholiaQ51866845MaRDI QIDQ3107630

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Publication date: 26 December 2011

Published in: (Search for Journal in Brave)

Abstract: We consider classes of translationally invariant black hole solutions whose equations of state closely resemble that of QCD at zero chemical potential. We use these backgrounds to compute the ratio zeta/s of bulk viscosity to entropy density. For a class of black holes that exhibits a first order transition, we observe a sharp rise in zeta/s near T_c. For constructions that exhibit a smooth cross-over, like QCD does, the rise in zeta/s is more modest. We conjecture that divergences in zeta/s for black hole horizons are related to extrema of the entropy density as a function of temperature.

Full work available at URL: https://arxiv.org/abs/0804.1950

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