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In this paper, considering the influence of the principle of generalized uncertainty (GUP), the phase transition of a Schwarzschild black hole with global monopole is discussed. 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 parameters and the monopole parameter on phase transitions. Finally, 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 will affect the black hole residues. [ABSTRACT FROM AUTHOR]

In this paper, under the framework of generalized uncertainty principle (GUP), based on the quantum tunneling radiation, we discuss the influence of dark matter on thermodynamics and phase transition from the X-cold dark matter (XCDM) black hole in Braneworld. It turns out that the existence of the dark matter can give rise to some new relations such as local temperature–mass, heat capacity–mass and local free energy–local temperature, and dark matter can play an important role in phase transitions. It is worth emphasizing that the first-order phase transition, second-order and Hawking–Page-like phase transitions can be observed from the new phase diagrams, and the novel and interesting thermodynamics behavior has been presented under the influence of GUP and dark matter. [ABSTRACT FROM AUTHOR]

In the thermodynamic evolution of black holes, the generalized uncertainty principle and quantum tunneling effect prevent the complete evaporation of black holes and produce remnants, and thermodynamic phase transition occurs during evaporation. Based on the generalized uncertainty principle and the method of quantum tunneling, we study the phase transition of the quantum–corrected black hole. Using the modified Hamiltonian–Jacobi equation to analyze the corrected thermodynamic quantity, we find that the thermodynamic phase transition of the black hole is not only depending on the nature of the black hole itself, it also depends on quantum parameter ξ, generalized uncertainty parameter β and parameter λ. [ABSTRACT FROM AUTHOR]

In order to give further insights into the holographic Van der Waals phase transition, it would be of great interest to investigate the behavior of Wilson loop across the holographic phase transition for a higher dimensional hairy black hole. We offer a possibility to proceed with a numerical calculation in order to discussion on the hairy black hole's phase transition, and show that Wilson loop can serve as a probe to detect a phase structure of the black hole. Furthermore, for a first order phase transition, we calculate numerically the Maxwell's equal area construction; and for a second order phase transition, we also study the critical exponent in order to characterize the Wilson loop's phase transition. [ABSTRACT FROM AUTHOR]

In the framework of holography, we survey the phase structure for a higher dimensional hairy black hole including the effects of the scalar field hair. It is worth emphasizing that, not only black hole entropy, but also entanglement entropy and two point correlation function exhibit the Van der Waals-like phase transition in a fixed scalar charge ensemble. Furthermore, by making use of numerical computation, we show that the Maxwell's equal area law is valid for the first order phase transition. In addition, we also discuss how the hair parameter affects the black hole's phase transition. [ABSTRACT FROM AUTHOR]

In this paper, considering the influence of generalized uncertainty principle, we explore phase transitions of the Rutz-Schwarzschild black hole based on the Parikh-Wilczek tunneling method. First, we obtain the corrected Hawking temperature, local temperature, remnant of black hole, entropy, heat capacity and other thermodynamic quantities. Then, we analyzed the effects of generalized uncertainty parameter β on phase transition. And we investigate thermodynamic stability, the critical behavior and phase transition structure under the influence of generalized uncertainty principle at last. The results show that there are first-order and second-order phase transitions in the Rutz-Schwarzschild black hole of the Finsler genometry framework. In addition, the generalized uncertainty parameter has great influence on the generation of black hole remnant. [ABSTRACT FROM AUTHOR]

In the framework of holography, we discuss on the phase transition behavior from a novel Gauss–Bonnet AdS black hole discovered in [Phys. Rev. Lett. 124, 081301 (2020)] in both charged and neutral cases. First, we explore the thermodynamic behavior for the black hole entropy by investigating T - S diagram, specific heat capacity and free energy, and we find that, in the T - S plane, the black hole exhibits a van der Waals phase transition similar to that in P - V plane in extended phase space. Secondly, we detect thermodynamic phase transition for the two point correlation function, and find that, the van der Waals phase transition can also be displayed in the T - δ L plane which is completely similar to that of black hole entropy in the T - S plane. Our result turns out that, not only the charged but also neutral cases, we can observe holographic van der Waals phase transition for the novel Gauss–Bonnet AdS black hole by employing the black hole entropy and two point correlation function. [ABSTRACT FROM AUTHOR]

In this work, we intend to investigate the phase transition behavior in AdS spacetime of massive gravity. We found that it can exhibit different phase transitions in the T − S plane. We further study specific heat capacity and free energy of the spacetime, and C q − S and F − T phase structures with different parameters are also plotted. The results show that the phase structures are related to the charge Q , the parameters γ and λ of the AdS spacetime of massive gravity. In addition, by utilizing two point correlation function, holographic phase transitions can also be displayed in the T − δ L plane, which means phase transition behavior can be detected by the two point correlation function. [ABSTRACT FROM AUTHOR]