Non-equilibrium fluctuation-dissipation relation from holography
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.
Cite
@article{arxiv.1206.3311,
title = {Non-equilibrium fluctuation-dissipation relation from holography},
author = {Ayan Mukhopadhyay},
journal= {arXiv preprint arXiv:1206.3311},
year = {2013}
}
Comments
40 pages, 3 figures, revtex; a small change in the Introduction for clarity and a reference added, accepted in PRD