Hawking radiation of some black holes via the non-equilibrium Landauer transport model

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) non-equilibrium Landauer transport process. Their work can be extended to background space-times with gauge potential. The result shows that the energy flux of charged particles, which is shown to be equal to the energy–momentum tensor flux, contains not only the contribution of thermal flux but also that of particle flux. It is found that the charge can also be transported by the 1D quantum channel. Moreover, the entropy production rate is also investigated, which is shown to be larger than the case without chemical potential.