1 / 6

Black Holes and the Fluctuation Theorem

Black Holes and the Fluctuation Theorem . Susumu Okazawa ( 総研大 , KEK) with Satoshi Iso and Sen Zhang , arXiv:1008.1184 + work in progress. Backgrounds Gravity Black hole thermodynamics Hawking radiation – classical gravity + quantum field

peyton
Download Presentation

Black Holes and the Fluctuation Theorem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Black Holes and the Fluctuation Theorem Susumu Okazawa(総研大,KEK) withSatoshi Isoand Sen Zhang, arXiv:1008.1184 +work in progress

  2. Backgrounds Gravity • Black hole thermodynamics • Hawking radiation • – classical gravity + quantum field – Planck distribution with temperature • What about non-equilibrium? • – Asymptotically flat Schwarzschild BHs are unstable system, “negative specific heat” Susumu Okazawa (KEK)

  3. Backgrounds Non-equilibrium physics • The Fluctuation Theorem [Evans, Cohen & Morris ‘93] • – non-equilibrium fluctuations satisfy • – violation of the second law of thermodynamics • The fluctuation theorem The second law of thermodynamics • Microscopic, Equality Macroscopic, Inequality • – A bridge between microscopic theory with time reversal symmetry • andthe second law of thermodynamics Susumu Okazawa (KEK)

  4. Motivations • We want to investigate non-equilibrium nature of black holes • – cf. Einstein’s theory of Brownian motion, fluctuations are important • – Analyzing an asymptotically flat BH as a thermodynamically unstable system • We apply the fluctuation theorem to BH with matter • – We expect to see entropy decreasing probability • – We expect to get the generalized second law as a corollary • Ambitions • – Information loss problem • – Connection between Jacobson’s idea “the Einstein equation of states” • – Application for gauge/gravity duality Susumu Okazawa (KEK)

  5. Outline • We will consider a spherically symmetric BH with scalar field • Construct an effective EOM of scalar field near the horizon • cf. real -time AdS/CFT [Herzog, Son ’03 , Son, Teaney ‘09] Ingoing boundary condition (friction) Hawking radiation (noise) Langevin equation Susumu Okazawa (KEK)

  6. Outline • By using 1st law • Microscopic • Equality The fluctuation theorem for BH and matter • Macroscopic • Inequality The generalized second law • Green-Kubo relation Extension to non-linear response Response correlation Susumu Okazawa (KEK)

More Related