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Published: 2023-11-24
Abstract Views: 99
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DOI: https://doi.org/10.53747/nst.v12i2.382
Issue
Vol. 12 No. 2 (2022)
Section
Articles
How to Cite
Hoang, V. Q., Nguyen, T. A., & Tran, H. P. (2023). Phase Transition in Conjugate Planes of Charged AdS Black Hole. Nuclear Science and Technology, 12(2), 36-43. https://doi.org/10.53747/nst.v12i2.382

Phase Transition in Conjugate Planes of Charged AdS Black Hole

Hoang Van Quyet1, Nguyen Tuan Anh2, Tran Huu Phat3
1 Department of Physics, Hanoi Pedagogical University 2, Hanoi, Vietnam
2 Faculty of Energy Technology, Electric Power University
3 Vietnam Atomic Energy Commission

Main Article Content

Abstract

We study possible patterns of phase transitions at finite temperature in the charged AdS black holes (BHs). It is shown that in corresponding to standard pairs of conjugate thermodynamic variables charged AdS black holes contains either critical phenomena or interesting phase behaviour: a) for volume vs. pressure (V, P)  a first order phase transition occurs similar to the van der Waals like from liquid to gas; b) for electric potential vs. charge (\Phi, Q)  a first order phase transition associated with the electric charge instability. The distinction between them is characterized by the behaviors of the phase diagrams, the phase transition regions, the latent heats, the coexistence lines and the scalar curvatures associating with different Riemann spaces established in BH thermodynamic geometry approach. We conjecture that this scenario could become realistic for all other black holes.

Article Details

Author Biographies

Nguyen Tuan Anh, Faculty of Energy Technology, Electric Power University

235 Hoang Quoc Viet, Hanoi, Vietnam

Tran Huu Phat, Vietnam Atomic Energy Commission

59 Ly Thuong Kiet, Hanoi, Vietnam

Keywords

AdS black holes, phase transitions, van der Waals -like, thermodynamic geometry

References

[1]. David Kubiznak, Robert B. Mann, Mae Teo, Class. Quantum Grav. 34, 063001, 2017 and references herein.
[2]. Y. Tian, X. N. Wu and H.B.Zhang, JHEP 10, 170, 2014.
[3]. Y.Tian, Class. Quantum Grav. 36, 245001, 2019.
[4]. Shan-Quan Lan, Advances in High Energy Physics, 4350287, 2018.
[5]. J. M. Bardeen, B. Carter, S. W. Hawking, Commun. Math. Phys. 31, 161, 1973.
[6]. David C. Johnston, Advances in Thermodynamics of the van der Waals Fluid, Morgan & Claypool, San Rafael, CA, 2014.
[7]. G.Ruppeiner Rev. Mod. Phys. 67, 605 ( 1995) [Erratum-ibid. 68, 313, 1996].
[8]. G. Ruppeiner, Phys. Rev. D 78, 024016 (2008).
[9]. F. Weihold, J. Chem. Phys. 63, 2479 (1975) [ Erratum-ibid.63,2484, 1975 ].
[10]. S.-W. Wei and Y.-X. Liu, Phys. Rev. Lett. 115, 111302, 2015.
[11]. Y.-G. Miao and Z.-M. Xu, Phys.Rev. D 98, 044001, 2018.
[12]. A.Dehyadegari, A.Sheykhi, and A.Montakhab, Phys.Lett B 768, 235, 2017.
[13]. A.Dehyadegari, A.Sheykhi, and S.W.Wei, Phys. Rev. D 102, 104013, 2020.
[14]. H.- Liu, H.-Lu , M.-X. Luo and K.-N. Shao, JHEP 12, 054, 2010.
[15]. Sh.-W.Wei, Y.-X. Liu and R.B.Mann, Phys.Rev.Lett. 123, 071103, 2019.
[16]. G.Ruppeiner, Phys.Rev. E 86, 021130, 2012.
[17]. G.Ruppeiner, Phys.Rev. E 88, 032123, 2013.
[18]. G.Ruppeiner, J.Phys.: Conf. Series 410, 012138, 2013.
[19]. G.Ruppeiner, Springer Proc. Phys. 153, 179, 2014.
[20]. Nguyen Tuan Anh, Tran Huu Phat, and Hoang Van Quyet, The intermolecular forces in charged AdS black hole, submitted to Phys. Lett. B, 2022.