Building up the elliptic flow: analytical insights
Nuclear Theory
2015-06-19 v2 High Energy Physics - Phenomenology
Abstract
In this paper, we present a fully analytical description of the early-stage formation of elliptic flow in relativistic viscous hydrodynamics. We first construct an elliptic deformation of Gubser flow which is a boost invariant solution of the Navier-Stokes equation with a nontrivial transverse profile. We then analytically calculate the momentum anisotropy of the flow as a function of time and discuss the connection with the empirical formula by Bhalerao {\it et al.} regarding the viscosity dependence of elliptic flow.
Cite
@article{arxiv.1405.1984,
title = {Building up the elliptic flow: analytical insights},
author = {Yoshitaka Hatta and Bo-Wen Xiao},
journal= {arXiv preprint arXiv:1405.1984},
year = {2015}
}
Comments
8 pages;v2. To be published in physics letters B