Kubo Formulae for Second-Order Hydrodynamic Coefficients

Details Kubo Formulae for Second-Order Hydrodynamic Coefficients Kubo Formulae for Second-Order Hydrodynamic Coefficients

2010-07-29

arxiv.org/abs/1007.5333v3

Phys.Rev.Lett.106:122302,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

four pages, no figures. Corrects an error pointed out by Arnold, Vaman, Wu, and Wei; the general technique of the original pap

Scientific paper

10.1103/PhysRevLett.106.122302

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.

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