论文标题
具有功率麦克斯韦场的二射黑洞的扩展相空间热力学
Extended Phase Space Thermodynamics for Dyonic Black Holes with a Power Maxwell Field
论文作者
论文摘要
在本文中，我们研究了扩展相位空间中麦克斯韦电磁场的功率电磁场的热力学，其中包括宇宙常数$λ$作为热力学变量。对于具有电荷和磁性充电的通用功率，麦克斯韦黑洞，以其他重新定性变量$ \ tilde {r} _ {+} _ {+} $，$ \ tilde {q} $ {q} $ { $ q $是电荷，$ h $是一些磁参数。对于$ \ tilde {q} $和$ \ tilde {h} $的某些值，黑洞的相结构是唯一确定的。此外，具有一些固定参数配置的多温度的特殊性会导致更丰富的相结构。通过$ \ Mathcal {l} \ left（s \ right）= s^{2} $，专注于麦克斯韦·拉格朗日（Maxwell Lagrangian），我们在$ \ tilde {q} $ - $ \ tilde {h} $平面中获得了相应的相图，然后分析黑孔相位结构和关键的行为。在这种情况下，关键行是半限制的，延伸至$ \ tilde {h} = \ infty $。我们还检查了这些黑洞的热稳定性。
In this paper, we investigate the thermodynamics of dyonic black holes with the presence of power Maxwell electromagnetic field in the extended phase space, which includes the cosmological constant $Λ$ as a thermodynamic variable. For a generic power Maxwell black hole with the electric charge and magnetic charge, the equation of state is given as the function of rescaled temperature $\tilde{T}$ in terms of other rescaled variables $ \tilde{r}_{+}$, $\tilde{q}$ and $\tilde{h}$, where $r_{+}$ is the horizon radius, $q$ is the electric charge and $h$ is some magnetic parameter. For some values of $\tilde{q}$ and $\tilde{h}$, the phase structure of the black hole is uniquely determined. Moreover the peculiarity of multiple temperature with some fixed parameter configurations results in more rich phase structures. Focusing on the power Maxwell Lagrangian with $\mathcal{L} \left( s\right) =s^{2}$, we obtain the corresponding phase diagrams in the $ \tilde{q}$-$\tilde{h}$ plane, then analyse the black holes phase structure and critical behaviour. For this case, the critical line is semi-infinite and extends to $\tilde{h}=\infty$. We also examine thermal stabilities of these black holes.
