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Maxwell's equal-area law with several pairs of conjugate variables for RN-AdS black holes

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Abstract.

In this paper, using Maxwell's equal-area law we study the phase transition of charged AdS black holes by choosing different independent conjugate variables. As is well known, the phase transition can be characterized by the state function of the system, the determination of the phase transition point has nothing to do with the choice of independent conjugate variables. To study the thermodynamic properties of AdS black holes we give the conditions under which the independent conjugate variables are chosen. When the charge of the black hole is invariable, according to the conditions we find that the phase transition is related to the electric potential and the horizon radius of the charged black hole. Keeping the cosmological constant as a fixed parameter, the phase transition of the charged AdS black hole is related to the ratio of the event horizon to the cosmological constant of black holes.

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References

  1. D. Kubiznak, R.B. Mann, JHEP 07, 033 (2012) arXiv:1205.0559

    Article  ADS  Google Scholar 

  2. B.P. Dolan, D. Kastor, D. Kubiznak, R.B. Mann, J. Traschen, Phys. Rev. D 87, 104017 (2013) arXiv:1301.5926

    Article  ADS  Google Scholar 

  3. S. Gunasekaran, D. Kubiznak, R.B. Mann, JHEP 11, 110 (2012) arXiv:1208.6251

    Article  ADS  Google Scholar 

  4. Rong-Gen Cai, Li-Min Cao, Li Li, Run-Qiu Yang, JHEP 09, 005 (2013) arXiv:1306.6233

    Google Scholar 

  5. Y. Sekiwa, Phys. Rev. D 73, 084009 (2006) hep-th/0602269

    Article  ADS  MathSciNet  Google Scholar 

  6. Zi-xu Zhao, Ji-liang Jing, JHEP 11, 037 (2014) arXiv:1405.2640

    Article  ADS  Google Scholar 

  7. Meng-Sen Ma, Ren Zhao, Yan-Song Liu, Class. Quantum Grav. 34, 165009 (2017) arXiv:1604.06998

    Article  ADS  Google Scholar 

  8. Meng-Sen Ma, Rui-Hong Wang, Phys. Rev. D 96, 024052 (2017) arXiv:1707.09156

    Article  ADS  MathSciNet  Google Scholar 

  9. S.H. Hendi, B. Eslam Panah, S. Panahiyan, M.S. Talezadeh, Eur. Phys. J. C 77, 133 (2017) arXiv:1612.00721

    Article  ADS  Google Scholar 

  10. Z. Dayyani, A. Sheykhi, M.H. Dehghani, Phys. Rev. D 95, 84004 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  11. De-Cheng Zou, Yun-qi Liu, Rui-hong Yue, Eur. Phys. J. C 77, 365 (2017) arXiv:1702.08118

    Article  ADS  Google Scholar 

  12. Peng Cheng, Shao-Wen Wei, Yu-Xiao Liu, Phys. Rev. D 94, 024025 (2016) arXiv:1603.08694

    Article  ADS  MathSciNet  Google Scholar 

  13. R. Banerjee, B.R. Majhi, S. Samanta, Phys. Lett. B 767, 25 (2017) arXiv:1611.06701

    Article  ADS  Google Scholar 

  14. R. Banerjee, D. Roychowdhury, JHEP 11, 004 (2011) arXiv:1109.2433

    Article  ADS  Google Scholar 

  15. R. Banerjee, D. Roychowdhury, Phys. Rev. D 85, 104043 (2012) arXiv:1203.0118

    Article  ADS  Google Scholar 

  16. A. Dey, S. Mahapatra, T. Sarkar, Phys. Rev. D 94, 026006 (2016) arXiv:1512.07117

    Article  ADS  MathSciNet  Google Scholar 

  17. K. Bhattacharya, B.R. Majhi, S. Samanta, Phys. Rev. D 96, 084037 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  18. Xiao-Xiong Zeng, Li-Fang Li, Phys. Lett. B 764, 100 (2017)

    Article  ADS  Google Scholar 

  19. A. Dehyadegari, A. Sheykhi, A. Montakhap, Phys. Lett. B 768, 235 (2017) arXiv:1607.05333

    Article  ADS  Google Scholar 

  20. Rong-Gen Cai, Shan-Ming Ruan, Shao-Jiang Wang, Run-Qiu Yang, Rong-Hui Peng, JHEP 09, 161 (2016) arXiv:1606.08307

    ADS  Google Scholar 

  21. Jia-Lin Zhang, Rong-Gen Cai, Hongwei Yu, Phys. Rev. D 91, 044028 (2015) arXiv:1502.01428

    Article  ADS  Google Scholar 

  22. Jia-Lin Zhang, Rong-Gen Cai, Hongwei Yu, JHEP 02, 143 (2015) arXiv:1409.5305

    Article  ADS  Google Scholar 

  23. Shao-Wen Wei, Yu-Xiao Liu, Phys. Rev. D 97, 104027 (2018) arXiv:1711.01522

    Article  ADS  MathSciNet  Google Scholar 

  24. Shou-Long Li, Hao. Wei, Phys. Rev. D 99, 064002 (2019) arXiv:1809.03810

    Article  ADS  Google Scholar 

  25. Shou-Long, Hong-Da Lyu, Hua-Kai Deng, Hao Wei, Eur. Phys. J. C 79, 201 (2019) arXiv:1809.03471

    Article  ADS  Google Scholar 

  26. Yan-Gang Miao, Zhen-Ming Xu, Eur. Phys. J. C 76, 217 (2016) arXiv:1511.00853

    Article  ADS  Google Scholar 

  27. Yan-Gang Miao, Zhen-Ming Xu, Eur. Phys. J. C 77, 403 (2017) arXiv:1610.01769

    Article  ADS  Google Scholar 

  28. Yi-Fei Wang, Ming Zhang, Wen-Biao Liu, Coexistence curve and molecule number density of AdS topological charged black hole in massive gravity, arXiv:1711.04403

  29. A. Dehyadegari, A. Sheykhi, Phys. Rev. D 98, 024011 (2018) arXiv:1711.01151

    Article  ADS  Google Scholar 

  30. K. Jafarzade, J. Sadeghi, Phase Transition of charged Rotational Black Hole and Quintessence, arXiv:1710.08642

  31. Ren Zhao, Li-Chun Zhang, Commun. Theor. Phys. 70, 578 (2018) arXiv:1710.07225

    Article  ADS  Google Scholar 

  32. A. Övgün, Adv. High Energy Phys. 2018, 8153721 (2018) arXiv:1710.06795

    Google Scholar 

  33. Z. Dayyani, A. Sheykhi, M.H. Dehghani, S. Hajkhalili, Eur. Phys. J. C 78, 152 (2018) arXiv:1709.06875

    Article  ADS  Google Scholar 

  34. M.K. Zangeneh, A. Dehyadegari, A. Sheykhi, R.B. Mann, Phys. Rev. D 97, 084054 (2018) arXiv:1709.04432

    Article  ADS  MathSciNet  Google Scholar 

  35. Ming Zhang, De-Cheng Zou, Rui-Hong Yue, Adv. High Energy Phys. 2017, 3819246 (2017) arXiv:1707.04101

    Google Scholar 

  36. A. Sahay, R. Jha, Phys. Rev. D 96, 126017 (2017) arXiv:1707.03629

    Article  ADS  MathSciNet  Google Scholar 

  37. Xiao-Xiong Zeng, Yi-Wen Han, Adv. High Energy Phys. 2017, 2356174 (2017) arXiv:1706.02024

    Google Scholar 

  38. Shao-Wen Wei, Bin Liang, Yu-Xiao Liu, Phys. Rev. D 96, 124018 (2017) arXiv:1705.08596

    Article  ADS  Google Scholar 

  39. Shao-Wen Wei, Yu-Xiao Liu, Phys. Rev. D 87, 044014 (2013) arXiv:1209.1707

    Article  ADS  Google Scholar 

  40. Ren Zhao, Hui-Hua Zhao, Meng-Sen Ma, Li-Chun Zhang, Eur. Phys. J. C 73, 2645 (2013)

    Article  ADS  Google Scholar 

  41. Huai-fan Li, Meng-Sen Ma, Li-Chun Zhang, Ren Zhao, Nucl. Phys. B 920, 211 (2017)

    Article  ADS  Google Scholar 

  42. Huai-fan Li, Hui-Hua Zhao, Li-Chun Zhang, Ren Zhao, Eur. Phys. J. C 77, 295 (2017)

    Article  ADS  Google Scholar 

  43. Huai-Fan Li, Xiong-ying Guo, Hui-Hua Zhao, Ren Zhao, Gen. Relativ. Gravit. 49, 111 (2017) arXiv:1610.05428

    Article  ADS  Google Scholar 

  44. Hui-Hua Zhao, Li-Chun Zhang, Ren Zhao, Adv. High Energy Phys. 2016, 2021748 (2016)

    Google Scholar 

  45. Hui-Hua Zhao, Li-Chun Zhang, Meng-Sen Ma, Ren Zhao, Class. Quantum Grav. 32, 145007 (2015)

    Article  ADS  Google Scholar 

  46. Li-Chun Zhang, Hui-Hua Zhao, Ren Zhao, Meng-Sen Ma, Adv. High Energy Phys. 2014, 816728 (2014)

    Google Scholar 

  47. A. Belhaj, M. Chabab, H. Ei Moumni, K. Masmar, M.B. Sedra, Eur. Phys. J. C 75, 71 (2015)

    Article  ADS  Google Scholar 

  48. E. Spallucci, A. Smailagic, Phys. Lett. B 723, 436 (2013) arXiv:1305.3379

    Article  ADS  MathSciNet  Google Scholar 

  49. D. Kastor, S. Ray, J. Traschen, Class. Quantum. Grav. 26, 195011 (2009)

    Article  ADS  Google Scholar 

  50. J.D. Bekenstein, Lett. Nuovo Cimento 4, 737 (1972)

    Article  ADS  Google Scholar 

  51. J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  52. J.D. Bekenstein, Phys. Rev. D 7, 949 (1973)

    Article  ADS  Google Scholar 

  53. J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973)

    Article  ADS  Google Scholar 

  54. S.W. Hawking, Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

  55. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Shanxi Datong University, 037009, Datong, China

    Xiong-Ying Guo, Huai-Fan Li & Ren Zhao

  2. Institute of Theoretical Physics, Shanxi Datong University, 037009, Datong, China

    Xiong-Ying Guo, Huai-Fan Li & Ren Zhao

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  1. Xiong-Ying Guo
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  2. Huai-Fan Li
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  3. Ren Zhao
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Correspondence to Huai-Fan Li.

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Guo, XY., Li, HF. & Zhao, R. Maxwell's equal-area law with several pairs of conjugate variables for RN-AdS black holes. Eur. Phys. J. Plus 134, 277 (2019). https://doi.org/10.1140/epjp/i2019-12790-y

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