Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics |
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Authors: | Gubser Steven S Nellore Abhinav Pufu Silviu S Rocha Fábio D |
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Affiliation: | Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA. ssgubser@Princeton.edu |
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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 Tc. For constructions that exhibit a smooth crossover, 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. |
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