2020/08/14 by C.L. Ahmed Rizwan, C. L. Ahmed Rizwan, A. Naveena Kumara +2 · 19 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Binodal #Black Holes and Theoretical Physics #Black hole (networking) #Critical exponent #Critical phenomena #Metastability #Noncommutative and Quantum Gravity Theories #Phase (matter) #Spacetime #Spinodal #gr-qc
paper · pdf · doi:10.1016/j.aop.2020.168320
published in Annals of Physics 422, 168320 (Elsevier BV) · 21 pages,13 figures
arxiv created 2020/08/14 · openalex created_date 2020/08/21 · openalex publication_date 2020/10/14 · arxiv updated 2020/10/22 · openalex updated_date 2026/08/05
We study the phase structure and the microscopic interactions in regular Bardeen AdS black hole. The stable and metastable phases in the black hole are analysed through coexistence and spinodal curves. The solutions are obtained numerically as the analytic solution to the coexistence curve is not feasible. The Pr-Tr coexistence equation is obtained using a fitting formula. The coexistence and spinodal curves are plotted in Pr-Tr and Tr-Vr planes to explore the phase structure of the black hole. In the second part of our study, we were able to probe the microscopic interactions of regular Bardeen AdS black hole using the novel Ruppeiner geometry proposed by S.W. Wei et.al Phys. Rev. Lett.123, 071103 (2019). It is found that the microscopic interactions are not same in the small black hole (SBH) and large black hole (LBH) phases. In the SBH phase, there exists a repulsive interaction in the microstructure in the low temperature regime. In contrast, the microstructure associated with the LBH phase has attractive interaction throughout the parameter space. We found that, along the coexistence temperature both the SBH and LBH branches diverge to negative infinity with a critical exponent equal to 1/2.