Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries
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 fluct...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/66939 |
| _version_ | 1826210024992538624 |
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| author | Caron-Huot, Simon Teaney, Derek Chesler, Paul Michael |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Caron-Huot, Simon Teaney, Derek Chesler, Paul Michael |
| author_sort | Caron-Huot, Simon |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:40:03Z |
| format | Article |
| id | mit-1721.1/66939 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:40:03Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/669392022-09-29T10:05:05Z Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries Caron-Huot, Simon Teaney, Derek Chesler, Paul Michael Massachusetts Institute of Technology. Department of Physics Chesler, Paul Michael Chesler, Paul Michael 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. National Science Foundation (U.S.) (Grant PHY-0969448) Alfred P. Sloan Foundation United States. Dept. of Energy. Outstanding Junior Investigator Program (DE-FG-02-08ER4154) 2011-11-04T17:24:38Z 2011-11-04T17:24:38Z 2011-07 2011-03 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/66939 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 en_US http://dx.doi.org/10.1103/PhysRevD.84.026012 Physical Review D 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. application/pdf American Physical Society APS |
| spellingShingle | Caron-Huot, Simon Teaney, Derek Chesler, Paul Michael Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title | Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title_full | Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title_fullStr | Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title_full_unstemmed | Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title_short | Fluctuation, dissipation, and thermalization in nonequilibrium AdS(5) black hole geometries |
| title_sort | fluctuation dissipation and thermalization in nonequilibrium ads 5 black hole geometries |
| url | http://hdl.handle.net/1721.1/66939 |
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