Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
Communications in Theoretical Physics(2024)
摘要
This research paper presents a black hole solution with a rational non-linear
electrodynamics source in the Rastall gravity framework. The paper analyzes the
thermodynamic properties of the solution in normal phase space and explores its
critical behavior. The phase structure is examined using the extended first law
of thermodynamics, with the cosmological constant Λ serving as pressure
P. The isotherms exhibit van der Waals behavior at small values of horizon
r_+. The paper also investigates the Gibbs free energy behavior and finds two
critical points with two pressures where the reentrant phase transition occurs
and disappears. On the other hand, we explore the prevalent microstructure of
black holes in Ruppeiner geometry, uncovering significant deviations in the
nature of particle interactions from conventional practice. Moreover, the
thermodynamic geometry is analyzed using the Ruppeiner formalism, with the
normalized Ricci scalar indicating possible point-phase transitions of the heat
capacity, and the normalized extrinsic curvature having the same sign as the
normalized Ricci scalar. The three-phase transitions of the heat capacity are
those that we find for the normalized Ruppeiner curvatures. Thus, there is an
absolute correspondence.
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