Oscillatory behaviors near a black hole triple point

Studying the thermodynamics and phase transition of black holes is of great help in revealing the nature of black holes and gravity.Since the establishment of the four laws of black hole thermodynamics and discovery of the HawkingPage phase transition,the black hole phase transition has attracted great attention,and important progress has been made in viewing the cosmological constant as the thermodynamic pressure[1,2],which enables various interesting observations on the black hole phase transition in the so-called extended phase space.Of note,a characteristic phenomenon,the existence of the triple point,has been extensively investigated.