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arXiv · 1004.4452

Third-order dissipative hydrodynamics from the entropy principle

Andrej El·Zhe Xu·Carsten Greiner
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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.

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Andrej El, Zhe Xu, Carsten Greiner. 2010-04-26. Third-order dissipative hydrodynamics from the entropy principle. https://doi.org/10.1088/1742-6596%2F230%2F1%2F012046

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