6533b856fe1ef96bd12b3294

RESEARCH PRODUCT

Solving the heat-flow problem with transient relativistic fluid dynamics

Carsten GreinerHarri NiemiHarri NiemiEtele MolnárZehua XuGabriel S. DenicolGabriel S. DenicolI. BourasDirk H. Rischke

subject

Physics::Fluid DynamicsPhysicsNuclear and High Energy Physicsta114Quark–gluon plasmaDynamics (mechanics)Fluid dynamicsKinetic theory of gasesDissipative systemShear stressMechanicsTransient (oscillation)Boltzmann equation

description

Israel-Stewart theory is a causal, stable formulation of relativistic dissipative fluid dynamics. This theory has been shown to give a decent description of the dynamical behavior of a relativistic fluid in cases where shear stress becomes important. In principle, it should also be applicable to situations where heat flow becomes important. However, it has been shown that there are cases where Israel-Stewart theory cannot reproduce phenomena associated with heat flow. In this paper, we derive a relativistic dissipative fluid-dynamical theory from kinetic theory which provides a good description of all dissipative phenomena, including heat flow. We explicitly demonstrate this by comparing this theory with numerical solutions of the relativistic Boltzmann equation.

https://doi.org/10.1103/physrevd.89.074005