Thermodynamic Phase Transition Of Monopole Black Hole

In this paper,under the influence of the Generalized Uncertainty Principle(GUP),the phase transition is discussed from a Schwarzschild black hole with a global monopole based on quantum tunneling radiation.In addition,the Van der Waals phase transition of the black hole is studied by using the two-point correlation function and the Wilson loop.First,we use the generalized Dirac equation to obtain corrected Hawking temperature,local temperature,black hole residues,black hole entropy,thermal capacity,and other thermodynamic quantities.Then,we analyze the effects of generalized uncertainty parameter and the monopole parameter on phase transitions.Then,we study the thermodynamic stability and phase transition structure under the influence of GUP.The results show that,for the black hole with global monopole,there are first–order and second–order phase transitions.In addition,the general uncertainty parameter and monopole parameter can also affect the black hole phase transition and remnant.Secondly,under the holographic framework,not only the black hole entropy but also the two-point correlation function is used to explore the phase transition behavior of a charged black hole with global monopole.The research results show that in the corresponding temperature–entropy plane,the Van der Waals phase transition that is completely similar to ordinary thermodynamic liquid–gas fluid can be observed.A Van der Waals phase-like transition is also shown in the temperature–two-point correlation function plane.At the same time,the monopole parameter has an effect on the Van der Waals phase transition of the two-point correlation function.Finally,under the holographic framework,the Wilson loop is used to study the phase transition of the Ad S space-time black hole with monopole charge.The research results show that Wilson loop can also exhibit Van der Waals phase transition similar to black hole thermodynamic entropy.And it is found that the monopole parameter has an effect on the Van der Waals phase transition structure of the Wilson loop.