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2020

Critical behavior of charged dilaton black holes in AdS space

Dehyadegari, Amin, Sheykhi, Ahmad

Understand

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 $\alpha$.