Hawking radiation via Landauer transport model

TL;DR

This paper extends the Landauer transport model of Hawking radiation to spacetimes with gauge potentials, showing charge transport can also be described as a 1D quantum channel, incorporating both thermal and particle fluxes.

Contribution

It introduces a model where charge flux in Hawking radiation is described as transport via a 1D quantum channel, expanding previous work to include gauge potentials.

Findings

Energy flux includes thermal and particle contributions.

Charge flux can be modeled as gauge flux in a 1D channel.

The model unifies energy and charge transport in Hawking radiation.

Abstract

Recently, Nation et al confirmed that fluxes of Hawking radiation energy and entropy from a black hole can be regarded as a one-dimensional (1D) Landauer transport process. Their work can be extended to background spacetimes with gauge potential. The result shows that the energy flux, which is indicated to be equal to the energy-momentum tensor flux, contains not only the contribution of thermal flux but also that of particle flux. We find that the charge can also be regarded as transporting via a 1D quantum channel and the charge flux is equal to the gauge flux.