arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2501.09375gr-qc
收藏

扩展相空间中带电旋转黑弦的热力学

Thermodynamics of charged rotating black strings in extended phase space

Hamid R. Bakhtiarizadeh

AI总结:

本研究探究扩展相空间中渐近反德西特带电旋转黑弦的热力学,推导相关热力学量,分析热稳定性与相变临界点,研究Penrose过程效率及不带电解物态方程,为黑洞热力学研究提供新结论。

摘要:

我们研究了渐近反德西特(Anti-de Sitter)带电旋转黑弦在扩展相空间中的热力学性质,该相空间中将宇宙学常数解释为热力学压强,并将热力学体积定义为其共轭量。我们推导得到了热力学体积、内能以及Smarr定律。我们研究了热稳定性,发现部分解具有正的比热,这使得它们在热力学上是稳定的。我们首次发现,带电解存在一个临界点,该临界点出现在定压比热发散的位置,这支持了存在类似于范德瓦尔斯(Van der Waals)流体中液-气临界点的二阶相变的观点。我们还研究了Penrose过程的最大效率,发现极值旋转黑弦的效率最高可达50%。我们还得到了不带电解的物态方程。通过与液-气系统对比,我们观察到其不存在与Van der Waals系统相符的临界行为。

英文摘要:

We investigate the thermodynamics of asymptotically Anti-de Sitter charged and rotating black strings in extended phase space, in which the cosmological constant is interpreted as thermodynamic pressure and the thermodynamic volume is defined as its conjugate. We find the thermodynamic volume, the internal energy, and the Smarr law. We study the thermal stability and show that some of the solutions have positive specific heat, which makes them thermodynamically stable. We find, for the first time, there is a critical point for charged solutions which occurs at the point of divergence of specific heat at constant pressure. This supports the existence of a second-order phase transition analogous to the liquid-gas critical point in Van der Waals fluids. We also study the maximal efficiency of a Penrose process and find that an extremal rotating black string can have an efficiency of up to 50%. We also find the equation of state for uncharged solutions. By comparing with the liquid-gas system, we observe that there is not a critical behavior to coincide with those of the Van der Waals system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑