Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions

TL;DR

This study investigates the dynamic behavior of black hole phase transitions at a triple point, revealing oscillatory patterns and phase transits through numerical solutions of the Smoluchowski equation in a six-dimensional charged Gauss-Bonnet anti-de Sitter black hole.

Contribution

First numerical analysis of dynamic phase behavior at a black hole triple point demonstrating oscillatory transitions among phases.

Findings

Black holes can transit between phases dynamically at the triple point.

Characteristic weak and strong oscillations are observed during phase transitions.

Phase transitions are confirmed to be dynamic processes through numerical simulation.

Abstract

Understanding the dynamic process of black hole thermodynamic phase transitions at a triple point is a huge challenge. In this letter, we carry out the first investigation of dynamical phase behaviour at a black hole triple point. By numerically solving the Smoluchowski equation near the triple point for a six-dimensional charged Gauss-Bonnet anti-de Sitter black hole, we find that initial small, intermediate, or large black holes can transit to the other two coexistent phases at the triple point, indicating that thermodynamic phase transitions can indeed occur dynamically. More significantly, we observe characteristic weak and strong oscillatory behaviour in this dynamic process, which can be understood from an investigation of the rate of first passage from one phase to another. Our results further an understanding of the dynamic process of black hole thermodynamic phase transitions.