Non-boost-invariant anisotropic dynamics
Abstract
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.
Cite
@article{arxiv.1011.3056,
title = {Non-boost-invariant anisotropic dynamics},
author = {Mauricio Martinez and Michael Strickland},
journal= {arXiv preprint arXiv:1011.3056},
year = {2014}
}
Comments
23 pages, 8 figures; v2 - Correct typos and error in zeroth moment equation (Section 2.4.1); Numerical results only slightly affected, conclusions remains the the same