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In this paper, by analyzing the thermodynamic properties of charged AdS blackhole and asymptotically flat space-time charged black hole in the vicinity ofthe critical point, we establish the correspondence between the thermodynamicparameters of asymptotically flat space-time and nonasymptotically flatspace-time, based on the equality of black hole horizon area in the twodifferent space-time. The relationship between the cavity radius (which isintroduced in the study of asymptotically flat space-time charged black holes)and the cosmological constant (which is introduced in the study ofnonasymptotically flat space-time) is determined. The establishment of thecorrespondence between the thermodynamics parameters in two differentspace-time is beneficial to the mutual promotion of different time-space blackhole research, which is helpful to understand the thermodynamics andquantumproperties of black hole in space-time.

The thermodynamic relationship between the RN-AdS black holes and the RN black hole in canonical ensemble