Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics

Steven S. Gubser, Abhinav Nellore, Silviu S. Pufu, Fábio D. Rocha

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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 ζ/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 ζ/s near Tc. For constructions that exhibit a smooth crossover, like QCD does, the rise in ζ/s is more modest. We conjecture that divergences in ζ/s for black hole horizons are related to extrema of the entropy density as a function of temperature.

Original languageEnglish (US)
Article number131601
JournalPhysical review letters
Volume101
Issue number13
DOIs
StatePublished - Sep 23 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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