Non-equilibrium fluctuation-dissipation relation from holography
arXiv:1206.3311 · doi:10.1103/PhysRevD.87.066004
Abstract
We derive a non-equilibrium fluctuation-dissipation relation for bosonic correlation functions from holography in the classical gravity approximation at strong coupling. This generalizes the familiar thermal fluctuation-dissipation relation in absence of external sources. This also holds universally for any non-equilibrium state which can be obtained from a stable thermal equilibrium state in perturbative derivative (hydrodynamic) and amplitude (non-hydrodynamic) expansions. Therefore, this can provide a strong experimental test for the applicability of the holographic framework. We discuss how it can be tested in heavy ion collisions. We also make a conjecture regarding multi-point holographic non-equilibrium Green's functions.
40 pages, 3 figures, revtex; a small change in the Introduction for clarity and a reference added, accepted in PRD
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