Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries
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Chesler-2011-Fluctuation, dissipation, and thermalization.pdf
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760.15 KB
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Author(s)
Caron-Huot, Simon
Teaney, Derek
Chesler, Paul Michael
Date Issued
July 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
Caron-Huot, Simon, Paul Chesler, and Derek Teaney. “Fluctuation, dissipation, and thermalization in nonequilibrium AdS_{5} black hole geometries.” Physical Review D 84 (2011): n. pag. Web. 4 Nov. 2011. © 2011 American Physical Society
Version
Final published version
Abstract
We give a simple recipe for computing dissipation and fluctuations (commutator and anticommutator correlation functions) for nonequilibrium black hole geometries. The recipe formulates Hawking radiation as an initial value problem, and is suitable for numerical work. We show how to package the fluctuation and dissipation near the event horizon into correlators on the stretched horizon. These horizon correlators determine the bulk and boundary field theory correlation functions. In addition, the horizon correlators are the components of a horizon effective action, which provides a quantum generalization of the membrane paradigm. In equilibrium, the analysis reproduces previous results on the Brownian motion of a heavy quark. Out of equilibrium, Wigner transforms of commutator and anticommutator correlation functions obey a fluctuation-dissipation relation at high frequency.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.84.026012
