Thermodynamic bounce effect in quantum BTZ black hole

TL;DR

This paper uncovers a thermodynamic bounce effect in quantum BTZ black holes, caused by non-monotonic entropy, using generalized free energy and Kramer escape rate, revealing unique quantum black hole properties.

Contribution

It introduces the thermodynamic bounce phenomenon in quantum BTZ black holes and analyzes its origin through entropy behavior and thermodynamic phase transitions.

Findings

Discovery of bounce effect due to non-monotonic entropy

Identification of phase transitions induced by stochastic thermal motion

Analysis of thermodynamic behavior under quantum backreactions

Abstract

A novel thermodynamic phenomenon has been observed in the quantum Ba\~{n}ados-Teitelboim-Zanelli (qBTZ) black hole, utilizing generalized free energy and Kramer escape rate. This phenomenon also reveals the unique property of the quantum black hole. The stochastic thermal motion of various thermodynamic states within the black hole system induces phase transitions, under the influence of generalized free energy which obtained by extending Maxwell's construction. Through the analysis of Kramer escape rate, it is discovered that the qBTZ black hole thermodynamic system exhibits a bounce effect. It originates from the non-monotonicity of entropy in black hole thermodynamic systems. Furthermore, the overall thermodynamic picture of the qBTZ black hole has been obtained under different quantum backreactions.