Simulating elliptic flow with viscous hydrodynamics

By K. Dusling, D. Teaney. 2007

253 citations recorded by the source corpus.

In this work we simulate a viscous hydrodynamical model of noncentral Au-Au collisions in 2+1 dimensions, assuming longitudinal boost invariance. The model fluid equations were proposed by Oettinger and Grmela [Grmela, M., and Oettinger, H. C., Phys. Rev. E, 56, 6620 (1997)]. Freeze-out is signaled when the viscous corrections become large relative to the ideal terms. Then viscous corrections to the transverse momentum and differential elliptic flow spectra are calculated. When viscous corrections to the thermal distribution function are not included, the effects of viscosity on elliptic flow are modest. However, when these corrections are included, the elliptic flow is strongly modified at large p{sub T}. We also investigate the stability of the viscous results by comparing the nonideal components of the stress tensor ({pi}{sup ij}) and their influence on the v{sub 2} spectrum to the expectation of the Navier-Stokes equations ({pi}{sup ij}=-{eta} ). We argue that when the stress tensor deviates from the Navier-Stokes form the dissipative corrections to spectra are too large for a hydrodynamic description to be reliable. For typical Relativistic Heavy Ion Colloder initial conditions this happens for {eta}/s > or approx. 0.3.

Subfields: Applied Mathematics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ecf47d789600101dea74cd59372e3e8f27dc6268

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Computational Mechanics

In Nuclear and High Energy Physics

Citations in the corpus

Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics (2011, background): “[25] K.”
Relativistic Fluid Dynamics in and out of Equilibrium (2017, methodology): “Several different algorithms to obtain solutions to relativistic viscous hydrodynamics exist [30, 31, 33, 38, 297–301], three of which will be discussed in more detail below.”
Dissipative Dynamics of Highly Anisotropic Systems (2010, background): “Introduction The remarkable success of relativistic hydrodynamics to describe the anisotropic flow of matter created during non-central heavy ion collisions [1, 2, 3, 4] has sparked a great deal interest in the systematic derivation and application of viscous hydrodynamical equations for relativisti”
Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality (2007, background): “For example, a number of groups recently reported the results of the (2 + 1)-dimensional numerical simulations of causal hydrodynamics [12, 13, 14, 15, 16].”
Properties of hot and dense matter from relativistic heavy ion collisions (2015, methodology): “Determinations of⌘/s at RHIC based on viscous fluid dynamics were obtained in [35,36,208].”