Abstract
Interest in the development of the theory of fluctuating hydrodynamics is growing. Early efforts suggested that viscous diffusion broadens the rapidity dependence of transverse momentum correlations. That work stimulated an experimental analysis by STAR. We study the hydrodynamic evolution using second order causal viscous hydrodynamics including Langevin noise. We obtain a deterministic evolution equation for the transverse momentum density correlation function. We use the latest theoretical equations of state and transport coefficients to compute the STAR observables. The results are in excellent accord with the measured broadening. In addition, we predict features of the distribution that can distinguish 2nd and 1st order diffusion.
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