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Advances in High Energy Physics
Volume 2017 (2017), Article ID 3812063, 7 pages
Research Article

The Thermodynamic Relationship between the RN-AdS Black Holes and the RN Black Hole in Canonical Ensemble

1Department of Astronomy, Beijing Normal University, Beijing 100875, China
2Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China
3School of Physics, Shanxi Datong University, Datong 037009, China
4School of Physics, The University of Western Australia, Crawley, WA 6009, Australia

Correspondence should be addressed to Shuo Cao

Received 12 December 2016; Revised 21 March 2017; Accepted 9 April 2017; Published 3 May 2017

Academic Editor: Juan José Sanz-Cillero

Copyright © 2017 Yu-Bo Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


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