Constraining relativistic viscous hydrodynamical evolution
High Energy Physics - Phenomenology
2009-09-09 v2 Nuclear Theory
Abstract
We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in 2nd-order viscous hydrodynamical simulations of ultrarelativistic heavy-ion collisions. We demonstrate this explicitly for 0+1 dimensional viscous hydrodynamics and discuss how the constraint extends to higher dimensions. Additionally, we present an analytic approximation to the solution of 0+1 dimensional 2nd-order viscous hydrodynamical evolution equations appropriate to describe the evolution of matter in an ultrarelativistic heavy-ion collision.
Cite
@article{arxiv.0902.3834,
title = {Constraining relativistic viscous hydrodynamical evolution},
author = {Mauricio Martinez and Michael Strickland},
journal= {arXiv preprint arXiv:0902.3834},
year = {2009}
}
Comments
23 pages, 9 figures; v2 - minor typos corrected and update to published version which appears in PRC