Non-conformal Hydrodynamics in Einstein-dilaton Theory
arXiv:1205.3883 · doi:10.1007/JHEP09(2012)004
Abstract
In the Einestein-dilaton theory with a Liouville potential parameterized by , we find a Schwarzschild-type black hole solution. This black hole solution, whose asymptotic geometry is described by the warped metric, is thermodynamically stable only for . Applying the gauge/gravity duality, we find that the dual gauge theory represents a non-conformal thermal system with the equation of state depending on . After turning on the bulk vector fluctuations with and without a dilaton coupling, we calculate the charge diffusion constant, which indicates that the life time of the quasi normal mode decreases with . Interestingly, the vector fluctuation with the dilaton coupling shows that the DC conductivity increases with temperature, a feature commonly found in electrolytes.
27 pages and 2 figures, published in JHEP
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