Statistical entropy and superradiance in (2+1)-dimensional acoustic black holes

초록

We study the "draining bathtub" as an acoustic analogue of a three-dimensional rotating black hole. The rotating fluid near the sonic horizon necessarily gives rise to superradiant modes, which are partially responsible for the thermodynamic quantities in this rotating vortex-like hole. Using the improved brick-wall method, we explicitly calculate the free energy of the system by treating the superradiance carefully and obtain the desired entropy formula.

키워드