Third-order dissipative hydrodynamics from the entropy principle
Abstract
We review the entropy based derivation of third-order hydrodynamic equations and compare their solutions in one-dimensional boost-invariant geometry with calculations by the partonic cascade BAMPS. We demonstrate that Grad's approximation, which underlies the derivation of both Israel-Stewart and third-order equations, describes the transverse spectra from BAMPS with high accuracy. At the same time solutions of third-order equations are much closer to BAMPS results than solutions of Israel-Stewart equations. Introducing a resummation scheme for all higher-oder corrections to one-dimensional hydrodynamic equation we demonstrate the importance of higher-order terms if the Knudsen number is large.
Keywords
Cite
@article{arxiv.1004.4452,
title = {Third-order dissipative hydrodynamics from the entropy principle},
author = {Andrej El and Zhe Xu and Carsten Greiner},
journal= {arXiv preprint arXiv:1004.4452},
year = {2014}
}
Comments
5 pages 2 figures. To appear in the proceedings of the 26th Winter Workshop on Nuclear Dynamics (2010)