Extension of relativistic dissipative hydrodynamics to third order

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.041901· OSTI ID:21388906

El, Andrej; Zhe, Xu; Greiner, Carsten ^[1]

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1. Institut fuer Theoretische Physik, Goethe-Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main (Germany)

Following the procedure introduced by Israel and Stewart, we expand the entropy current up to the third order in the shear stress tensor pi{sup a}lpha{sup b}eta and derive a novel third-order evolution equation for pi{sup a}lpha{sup b}eta. This equation is solved for the one-dimensional Bjorken boost-invariant expansion. The scaling solutions for various values of the shear viscosity to the entropy density ratio eta/s are shown to be in very good agreement with those obtained from kinetic transport calculations. For the pressure isotropy starting with 1 at tau{sub 0}=0.4 fm/c, the third-order corrections to Israel-Stewart theory are approximately 10% for eta/s=0.2 and more than a factor of 2 for eta/s=3. We also estimate all higher-order corrections to Israel-Stewart theory and demonstrate their importance in describing highly viscous matters.

• OSTI ID: 21388906
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 81; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CORRECTIONS
DENSITY
ENERGY RANGE
ENTROPY
EQUATIONS
EXPANSION
FLUID MECHANICS
HYDRODYNAMICS
ISOTROPY
MATHEMATICAL SOLUTIONS
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
RELATIVISTIC RANGE
STRESSES
THERMODYNAMIC PROPERTIES
VISCOSITY