Document Type
Article
Publication Date
2012
Department 1
Physics
Abstract
We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost-invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a momentum-space anisotropic one-particle distribution function. We present a derivation of the necessary equations and then proceed to numerical solutions of the resulting partial differential equations using both realistic smooth Glauber initial conditions and fluctuating Monte Carlo Glauber initial conditions. For this purpose we have developed two numerical implementations: one that is based on straightforward integration of the resulting partial differential equations supplemented by a two-dimensional weighted Lax-Friedrichs smoothing in the case of fluctuating initial conditions and another that is based on the application of the Kurganov-Tadmor central scheme. For our final results we compute the collective flow of the matter via the laboratory-frame energy-momentum tensor eccentricity as a function of the assumed shear viscosity-to-entropy ratio, proper time, and impact parameter.
Copyright Note
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
DOI
10.1103/PhysRevC.85.064913
Recommended Citation
Martinez, Mauricio, Radoslaw Ryblewski, and Michael Strickland. “Boost-Invariant (2+1)-Dimensional Anisotropic Hydrodynamics.” Physical Review C 85.6 (2012): 064913-1 – 064913-19.
Required Publisher's Statement
Original version available from publisher at: http://prc.aps.org/pdf/PRC/v85/i6/e064913