Decay Rate and Low-Energy Near-Horizon Dynamics of Acoustic Black Holes

TL;DR

This paper investigates the low-energy behavior and decay rate of acoustic black holes, providing a way to experimentally test black hole evaporation phenomena in laboratory settings through calculations of decay rates and thermal emissions.

Contribution

It introduces a method to calculate the decay rate of acoustic black holes using low-energy perturbation techniques and links thermal emission to fluid velocity control parameters.

Findings

Decay rate derived from absorption and reflection coefficients.

Thermal emission proportional to fluid velocity control parameter.

Provides a framework for laboratory testing of black hole evaporation.

Abstract

We study the low-energy dynamics of an acoustic black hole near the sonic horizon. For the experimental test of black hole evaporation in the laboratory, the decay rate (greybody factor) of the acoustic black hole (sonic hole) can be calculated by the usual low-energy perturbation method. As a consequence, we obtain the decay rate of the sonic horizon from the absorption and the reflection coefficients. Moreover, we show that the thermal emission from the sonic horizon is only proportional to a control parameter which describes the velocity of the fluid.