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Dissipative hydrodynamics for viscous relativistic fluids

Ulrich W. Heinz·Huichao Song·Asis K. Chaudhuri
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Abstract

Explicit equations are given for describing the space-time evolution of non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal and arbitrary transverse expansion. The equations are derived from the second-order Israel-Stewart approach which ensures causal evolution. Both azimuthally symmetric (1+1)-dimensional and non-symmetric (2+1)-dimensional transverse expansion are discussed. The latter provides the formal basis for the hydrodynamic computation of elliptic flow in relativistic heavy-ion collisions including dissipative effects.

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Ulrich W. Heinz, Huichao Song, Asis K. Chaudhuri. 2005-10-04. Dissipative hydrodynamics for viscous relativistic fluids. https://doi.org/10.1103/physrevc.73.034904

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