Phys. Rev. C 77, 034905 (2008) [19 pages]
Simulating elliptic flow with viscous hydrodynamics
Abstract
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Citing Articles
K. Dusling and D. TeaneyDepartment of Physics & Astronomy, State University of New York, Stony Brook, New York 11794-3800, USA
Received 5 December 2007; published 27 March 2008
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 Öttinger and Grmela [Grmela, M., and Öttinger, 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 pT. We also investigate the stability of the viscous results by comparing the nonideal components of the stress tensor ( ij) and their influence on the v2 spectrum to the expectation of the Navier-Stokes equations (ij=-  ![[partial-derivative]](http://scitation.aip.org/stockgif3/part.gif) iuj ). 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 /s 0.3.
©2008 The American Physical Society
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