Critical behavior of charged dilaton black holes in AdS space

Autor: Dehyadegari, Amin, Sheykhi, Ahmad
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. D 102, 064021 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.102.064021
Popis: We revisit critical behaviour and phase structure of charged anti-deSitter (AdS) dilaton black holes for arbitrary values of dilaton coupling $\alpha$, and realize several novel phase behaviour for this system. We adopt the viewpoint that cosmological constant (pressure) is fixed and treat the charge of the black hole as a thermodynamical variable. We study critical behaviour and phase structure by analyzing the phase diagrams in $T-S$ and $ q-T$ planes. We numerically derive the critical point in terms of $\alpha$ and observe that for $\alpha =1$ and $\alpha \geq \sqrt{3}$, the system does not admit any critical point, while for $0<\alpha <1$, the critical quantities are not significantly affected by $\alpha$. We find that unstable behavior of the Gibbs free energy for $qq_{c}$, however, a novel first order phase transition occurs between small and large black hole, which has not been observed in the previous studies on phase transition of charged AdS black holes.
Comment: 8 pages, 10 figures
Databáze: arXiv