论文标题
$ \ mathrm {3D} $爱因斯坦出生式侵袭性广告黑洞的热力动力不稳定
Thermodynamic Instability of $\mathrm{3D}$ Einstein-Born-Infeld AdS Black Holes
论文作者
论文摘要
超渗透性黑洞具有有限的区域，但毫无相关的事件范围，违反了相反的等速度不平等。已经猜想，这种黑洞总是在恒定体积$ c_ {v} $或恒定压力下的负比热的恒定特定热量$ c_ {p} $时，只要$ c_ {v}> 0 $ 0 $，使它们在扩展热力学中变得不稳定。在本文中，我们在一个非线性电动力学黑洞的家族上测试了这种不稳定的猜想，即$ 3 $ D EINSTEIN-BORN-BORN-BORN-INFELD（EBI）广告黑洞。我们的结果表明，当非线性电动力学效应较弱时，不稳定性的猜想是有效的。但是，当非线性电动力学效应足够强，可以在某些参数区域中违反猜想。因此，该观察结果为不稳定性的猜想提供了反对的示例，这表明超注入黑洞可以在热力学上是稳定的。
Super-entropic black holes possess finite-area but noncompact event horizons and violate the reverse isoperimetric inequality. It has been conjectured that such black holes always have negative specific heat at constant volume $C_{V}$ or negative specific heat at constant pressure $C_{P}$ whenever $C_{V}>0$, making them unstable in extended thermodynamics. In this paper, we test this instability conjecture on a family of nonlinear electrodynamics black holes, namely $3$D Einstein-Born-Infeld (EBI) AdS black holes. Our results show that when nonlinear electrodynamics effects are weak, the instability conjecture is valid. However, the conjecture can be violated in some parameter region when nonlinear electrodynamics effects are strong enough. This observation thus provides a counter example to the instability conjecture, which suggests that super-entropic black holes could be thermodynamically stable.
