Kubo Formulae for Second-Order Hydrodynamic Coefficients
High Energy Physics - Phenomenology
2011-07-08 v3 High Energy Physics - Theory
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.1007.5333,
title = {Kubo Formulae for Second-Order Hydrodynamic Coefficients},
author = {Guy D. Moore and Kiyoumars A. Sohrabi},
journal= {arXiv preprint arXiv:1007.5333},
year = {2011}
}
Comments
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