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.

5 pages 2 figures. To appear in the proceedings of the 26th Winter Workshop on Nuclear Dynamics (2010)

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Cited by in corpus (1)

• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation