Fluctuating Hydrodynamics Confronts the Rapidity Dependence of Transverse Momentum Fluctuations

Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus–Nucleus Collisions 2012

Pokharel, Rajendra^1 ; Gavin, Sean^1 ; Moschelli, George^2

Wayne State University, 666 W Hancock, Detroit, MI 48084, United States^1

Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, 60438 Frankfurt am Main, Germany^2

关键词: Evolution equations;    Experimental analysis;    Fluctuating hydrodynamics;    Ordering diffusion;    Theoretical equation;    Transport coefficient;    Transverse momenta;    Viscous diffusion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/446/1/012029/pdf
DOI  :  10.1088/1742-6596/446/1/012029

来源: IOP

【 摘 要 】

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.