论文标题
黑洞中黑洞的鹰 - 页面过渡
Hawking--Page phase transitions of the black holes in a cavity
论文作者
论文摘要
在扩展的相空间中研究了Schwarzschild和带电的黑洞的鹰 - 页相变，其中将黑洞封闭在渐近平坦的半径$ r_b $的球形腔中。为黑洞引入了有效的热力学体积$ v =4πr_b^3/3 $，并将有效的压力$ p $定义为$ v $的共轭变量。相过渡温度$ t _ {\ rm hp} $和gibbs自由能$ g $是在大型典型的合奏中系统地研究的，固定电势$φ$，$ t _ {\ rm hp} $被发现以$ p $而增加，并以$φ$减少。如果发生相变发生，则$φ$必须具有上限，以使腔半径始终大于黑洞地平线半径。将这些相变行为与反DE保姆空间中的行为进行了比较，并且还深入讨论了显着的相似性和显着差异。我们的工作揭示了黑洞的热力学特性及其在不同扩展相位空间中的特定边界条件的关系。
The Hawking--Page phase transitions of the Schwarzschild and charged black holes are investigated in an extended phase space, in which the black holes are enclosed in a spherical cavity of radius $r_B$ in asymptotically flat space. An effective thermodynamic volume $V=4πr_B^3/3$ is introduced for the black hole, and an effective pressure $p$ is defined as the conjugate variable of $V$. The phase transition temperature $T_{\rm HP}$ and the Gibbs free energy $G$ are systematically studied in a grand canonical ensemble with fixed electric potential $Φ$, and $T_{\rm HP}$ is found to increase with $p$ and decrease with $Φ$. If the phase transition occurs, $Φ$ must have an upper bound, such that the cavity radius is always larger than the black hole horizon radius. These phase transition behaviors are further compared to those in the anti-de Sitter space, and the remarkable similarities and notable differences are also discussed in depth. Our work reveals the relationship of the thermodynamic properties of black holes and their specific boundary conditions in different extended phase spaces.
