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DATE | 2012-02-20 |

TIME | 12:00 |

PLACE | R49223, Second Physics Building , NCKU |

FIELD | Quantum Information Science |

SPEAKER | Dr. Paul Nation - RIKEN Digital Materials Laboratory, Japan |

TITLE | Non-equilibrium Landauer transport model for Hawking radiation from a black hole |

ABSTRACT | It has been nearly 40 years since Stephen Hawking verified the thermodynamic description of black hole mechanics by showing that a black hole radiates energy like a blackbody characterized by a temperature inversely proportional to the black hole’s mass. The hallmark of this statistical interpretation is the realization that the equilibrium thermodynamic properties of a black hole, namely it’s temperature and entropy, are determined by the two-dimensional surface formed by the event horizon; the mathematical boundary inside of which nothing can escape the pull of gravity. In this talk, I will describe a further dimensional reduction for the nonequilibrium thermodynamic transport of energy and entropy to and from the black hole horizon. Making use of the reduced number of spatial dimensions near the black hole horizon and the resulting conformal symmetry, we will see that Hawking radiation may be modeled as a onedimensional (1D) Landauer transport process; a mathematical framework first used in describing electronic transport in mesoscopic circuits. We will apply this model for a Schwarzschild black hole in vacuum, as well as in equilibrium. Charge and angular momentum may also be described via an effective black hole chemical potential. The energy and entropy currents are also shown to give an entropy production rate that is 50% higher than the currently accepted 3D rate. This work strengthens the the connection between thermodynamics and the gravitational physics of black holes, and gives a physical insight into the transport of energy and entropy from a black hole that is lacking in existing field- theoretic derivations. |