Non-equilibrium Landauer Transport Model for Hawking radiation from a Black Hole

Abstract

We propose that the Hawking radiation energy and entropy flow rates from a black hole can be viewed as a one-dimensional (1D), non-equilibrium Landauer transport process. Support for this viewpoint comes from previous calculations invoking conformal symmetry in the near-horizon region, which give radiation rates that are identical to those of a single 1D quantum channel connected to a thermal reservoir at the Hawking temperature. The Landauer approach shows in a direct way the particle statistics independence of the energy and entropy fluxes of a black hole radiating into vacuum, as well as one near thermal equilibrium with its environment. As an application of the Landauer approach, we show that Hawking radiation gives a net entropy production that is 50% larger than that obtained assuming standard three-dimensional emission into vacuum.

14 pages, 2 figures, published version

References in corpus (10)

• Fiber-optical analogue of the event horizon
• A Primer for Black Hole Quantum Physics
• Single-mode heat conduction by photons
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Higher-spin Currents and Thermal Flux from Hawking Radiation
• Hawking radiation by Kerr black holes and conformal symmetry
• The generalised second law and the black hole evaporation in an empty space as a nonequilibrium process
• Black hole evaporation in a heat bath as a nonequilibrium process and its final fate

Cited by in corpus (9)

• Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
• Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
• How Emergent is Gravity?
• Dimension of quantum channel of radiation in pure Lovelock black holes
• Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes
• Landauer transport model for Hawking radiation from a Reissner-Nordstrom black hole
• One-dimensional quantum channel and Hawking radiation of the Kerr and Kerr-Newman black holes
• A note on entropy of matter in presence of gravity: status of extensivity of entropy
• Measuring Hawking Radiation of a Kerr-Newman Black Hole in a Superconducting Transmission Line