理論セミナー

日時: 2014-06-18 13:00 - 14:00
場所: 研究本館3階セミナールーム322
会議名: Non-equilibrium thermodynamics of gravitational screens
連絡先: 住友 洋介、sumitomo-AT-post.kek.jp
講演者: 横倉 祐貴 氏  (京都大学基礎物理学研究所)
講演言語: 英語
アブストラクト: We study the Einstein gravity equations projected on a timelike surface, which represents the time evolution of what we call a gravitational screen. We show that such a screen possesses a surface tension and an internal energy, and that the Einstein equations reduce to the thermodynamic equations of a viscous bubble. We also provide a complete dictionary between gravitational and thermodynamical variables. In the non-viscous cases there are three thermodynamic equations which characterize a bubble dynamics: These are the first law, the Marangoni flow equation and the Young-Laplace equation. In all three equations the surface tension plays a central role: In the first law it appears as a work term per unit area, in the Marangoni flow its gradient drives a force, and in the Young-Laplace equation it contributes to a pressure proportional to the surface curvature. The gravity equations appear as a natural generalization of these bubble equations when the bubble itself is viscous and dynamical. In particular, it shows that the mechanism of entropy production for the viscous bubble is mapped onto the production of gravitational waves. We also review the relationship between surface tension and temperature, and discuss the usual black-hole thermodynamics from this point of view. (This talk is based on [arXiv:1405.4881].)

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