Some remarks on criticality and thermodynamics of the dynamic phantom AdS black holes

M. Umair Shahzad; Lubna Nosheen

doi:10.1140/epjc/s10052-022-10425-7

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 470
https://doi.org/10.1140/epjc/s10052-022-10425-7

Regular Article - Theoretical Physics

Some remarks on criticality and thermodynamics of the dynamic phantom AdS black holes

M. Umair Shahzad^a and Lubna Nosheen

Department of Mathematics, Faculty of Science, University of Okara, 56130, Okara, Pakistan

^a mushahzad@uo.edu.pk, m.u.shahzad@ucp.edu.pk

Received: 28 November 2021
Accepted: 15 May 2022
Published online: 22 May 2022

Abstract

In this paper, we discuss the thermodynamic phase-transition, thermal stability and criticality of dynamic phantom AdS black hole (BH) in the presence of electric charge e and magnetic charge g. To accomplish this, we construct the specific heat and other important thermodynamical parameters which help us to investigate the stability and criticality. The thermodynamical properties of dynamic phantom AdS BH are examined by utilizing the specific heat $(C_{P})$ $$(C_P)$$ , volume expansivity $(β)$ $(\beta )$ , isothermal compressibility $(κ)$ $(\kappa )$ , Temperature vs Entropy (T–S), Pressure vs Volume (P–V) and Gibbs free energy G, graphically. Specific heat against entropy describes the divergency behaviour, which produces the second-order phase transition. We also obtain isenthalpic curves for both systems in the T–P plane and determine the cooling and heating regions by utilizing Joule–Thomson expansion. Moreover, we discuss the behaviour of (P–V) isotherm that is equal to the liquid/gas transition of the Van-Der Waals fluid is exactly matched to 3/8 also known as a universal number. Furthermore, we investigate Swallow-tail behaviour and also discuss the stability and instability of the small black hole (SBH), Intermediate black hole (IBH) and large black hole (LBH).

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