Density Dependence of Transport Coefficients from Holographic Hydrodynamics

Abstract

We study the transport coefficients of Quark-Gluon-Plasma in finite temperature and finite baryon density. We use AdS/QCD of charged AdS black hole background with bulk-filling branes identifying the U(1) charge as the baryon number. We calculate the diffusion constant, the shear viscosity and the thermal conductivity to plot their density and temperature dependences. Hydrodynamic relations between those are shown to hold exactly. The diffusion constant and the shear viscosity are decreasing as a function of density for fixed total energy. For fixed temperature, the fluid becomes less diffusible and more viscous for larger baryon density.

LaTeX, 1+33 pages, 6 figures, references added

References in corpus (2)

• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• A Gravity Dual of RHIC Collisions

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