Kubo Formulas for Second-Order Hydrodynamic Coefficients

Journal Article · Fri Mar 25 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.122302· OSTI ID:21562129

Moore, Guy D; Sohrabi, Kiyoumars A ^[1]

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1. Department of Physics, McGill University, 3600 rue University, Montreal, Quebec H3A 2T8 (Canada)

At second order in gradients, conformal relativistic hydrodynamics depends on the viscosity {eta} and on five additional ''second-order'' hydrodynamical coefficients {tau}{sub {Pi}}, {kappa}, {lambda}{sub 1}, {lambda}{sub 2}, and {lambda}{sub 3}. We derive Kubo relations for these coefficients, relating them to equilibrium, fully retarded three-point correlation functions of the stress tensor. We show that the coefficient {lambda}{sub 3} can be evaluated directly by Euclidean means and does not in general vanish.

• OSTI ID: 21562129
• Journal Information: Physical Review Letters, Vol. 106, Issue 12; Other Information: DOI: 10.1103/PhysRevLett.106.122302; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CORRELATION FUNCTIONS
EQUILIBRIUM
EUCLIDEAN SPACE
HYDRODYNAMICS
KUBO FORMULA
RELATIVISTIC RANGE
STRESSES
TENSORS
ENERGY RANGE
FLUID MECHANICS
FUNCTIONS
MATHEMATICAL SPACE
MECHANICS
RIEMANN SPACE
SPACE