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Journal Article

Critical behavior of charged dilaton black holes in AdS space

MPS-Authors

Sheykhi ,  Ahmad
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2002.08188.pdf
(Preprint), 466KB

PhysRevD.102.064021.pdf
(Publisher version), 653KB

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Citation

Dehyadegari, A., & Sheykhi, A. (2020). Critical behavior of charged dilaton black holes in AdS space. Physical Review D, 102(6): 064021. doi:10.1103/PhysRevD.102.064021.


Cite as: https://hdl.handle.net/21.11116/0000-0005-BC79-0
Abstract
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 $q<q_{c}$ exhibits a \textit{first order} (discontinuous) phase
transition between small and large black holes for $0\leq\alpha<1$. For
$1<\alpha <\sqrt{3}$ and $q>q_{c}$, 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.