Kubo Formulae for Second-Order Hydrodynamic Coefficients

Abstract

At second order in gradients, conformal relativistic hydrodynamics depends on the viscosity eta and on five additional "second-order" hydrodynamical coefficients tauPi, kappa, lambda1, lambda2, and lambda3. We derive Kubo relations for these coefficients, relating them to equilibrium, fully retarded 3-point correlation functions of the stress tensor. We show that the coefficient lambda3 can be evaluated directly by Euclidean means and does not in general vanish.

four pages, no figures. Corrects an error pointed out by Arnold, Vaman, Wu, and Wei; the general technique of the original paper is correct but the specific 2'nd order Kubo relations were wrong and are replaced here by correct versions

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• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
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Cited by in corpus (3)

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• Origin of the Relaxation Time in Dissipative Fluid Dynamics
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