Fluid/Gravity correspondence suggests that the long wavelength deformations of AdS black branes are dual to configurations of a dissipative fluid. We revisit this duality with the aim of incorporating the effect of Hawking radiation from the black brane. We argue that this problem is equivalent to constructing a theory of fluctuating hydrodynamics. We obtain an effective description of a simmering holographic neutral plasma by studying the Hawking excitations around the Schwarzschild-AdS_d+1 black brane.