A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion

Abstract

We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the physics of these fluctuations, which become dominant near the critical point. We use the hydro-kinetic equations to calculate the modifications of energy momentum tensor by thermal fluctuations from the earliest moments and at late times in Bjorken expansion. The solution to the kinetic equations precisely determines the coefficient of the first fractional power ($\propto {\tau }^{-3/2}$) in the energy momentum tensor gradient expansion. Numerically, we find that the contribution to the longitudinal pressure from hydrodynamic fluctuations is comparable to the second order hydrodynamic terms for typical medium parameters used to simulate heavy ion collisions.

5 pages, no figures, Proceedings for the 26th International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2017), February 5-11 2017, Chicago, Illinois, USA

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• The equation of state in (2+1)-flavor QCD
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Second order hydrodynamic coefficients from kinetic theory
• Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions
• A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Hydrodynamic modeling of heavy-ion collisions

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