Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-11-12
Nucl.Phys.A856:68-87,2011
Physics
Nuclear Physics
Nuclear Theory
23 pages, 8 figures
Scientific paper
10.1016/j.nuclphysa.2011.02.003
We study the non-boost-invariant evolution of a quark-gluon plasma subject to large early-time momentum-space anisotropies. Rather than using the canonical hydrodynamical expansion of the distribution function around an isotropic equilibrium state, we expand around a state which is anisotropic in momentum space and parameterize this state in terms of three proper-time and spatial-rapidity dependent parameters. Deviations from the Bjorken scaling solutions are naturally taken into account by the time evolution of the spatial-rapidity dependence of the anisotropic ansatz. As a result, we obtain three coupled partial differential equations for the momentum-space anisotropy, the typical momentum of the degrees of freedom, and the longitudinal flow. Within this framework (0+1)-dimensional Bjorken expansion is obtained as an asymptotic limit. Finally, we make quantitative comparisons of the temporal and spatial-rapidity evolution of the dynamical parameters and resulting pressure anisotropy in both the strong and weak coupling limits.
Martinez Mauricio
Strickland Michael
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