论文标题
广告空间中带电的Dilaton黑洞的关键行为
Critical behavior of charged dilaton black holes in AdS space
论文作者
论文摘要
我们重新审视了带电抗desitter（ADS）的临界行为和相结构，以达到Dilaton耦合$α$的任意值，并实现该系统的几种新型相行为。我们采用这样一种观点，即宇宙常数（压力）是固定的，并将黑洞的电荷视为热力学变量。我们通过分析$ T-S $和$ Q-T $飞机的相图来研究临界行为和相结构。我们从数字上以$α$得出了关键点，并观察到，对于$α= 1 $和$α\ geq \ sqrt {3} $，该系统不承认任何关键点，而对于$ 0 <α<1 $，关键量不会受到$α$的显着影响。我们发现，$ q <q_ {c} $以$ q <q_ {c} $以$ 0 \ leqleqα<1 $之间的gibbs自由能的不稳定行为。然而，对于$ 1 <α<\ sqrt {3} $和$ q> q_ {c} $，但是，在小型和大型黑洞之间发生了一种新颖的一阶相变，这在先前关于带电广告的相变的研究中尚未观察到。
We revisit critical behaviour and phase structure of charged anti-deSitter (AdS) dilaton black holes for arbitrary values of dilaton coupling $α$, 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 $α$ and observe that for $α=1$ and $α\geq \sqrt{3}$, the system does not admit any critical point, while for $0<α<1$, the critical quantities are not significantly affected by $α$. 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 $0\leqα<1$. For $1<α<\sqrt{3}$ 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.
