论文标题
通过Rényi统计数据在平坦空间中带电的黑洞的热力学和范德华相过渡
Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
论文作者
论文摘要
根据Rényi统计中的热力学特性，研究了渐近平坦时空中3+1尺寸带电黑洞的相结构和临界现象。通过这种方法为零以上的非扩展参数，我们发现带电的黑洞可以在热力学平衡中具有周围热辐射的热力学平衡，并且在ADS带电的黑洞的情况下以相同的方式具有鹰型页相变。这提供了更多的证据，支持以下提议，即通过rényi统计数据，黑洞热力学之间存在等效性，并且在渐近地通过吉布斯 - 玻璃体统计数据在渐近上进行了空间，这是Czinner等人提出的。但是，本工作还通过探索Rényi统计信息的扩展相空间来提供支持证据的另一个方面。在改良版本的Smarr公式下工作，发现了带电黑洞的热力压力$ p $和卷$ v $与非扩展参数有关。由此产生的$ p-V $图表明，通过Rényi统计数据在渐近平面时期内带有带电的黑洞的热力学具有范德华的相结构，相当于渐近通过gibbs-brott-Boltzmann统计数据在渐近时空的时空。
The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated in terms of thermodynamic properties within the Rényi statistics. With this approach as the non-extensive parameter above zero, we find that the charged black hole can be in thermodynamic equilibrium with surrounding thermal radiation, and have a Hawking-Page phase transition in the same way in the case of AdS charged black hole. This gives more evidence supporting the proposal that there exists an equivalence between the black hole thermodynamics in asymptotically flat spacetime via Rényi statistics and that in asymptotically AdS spacetime via Gibbs-Boltzmann statistics, proposed by Czinner et al. However, the present work also provides another aspect of supporting evidence through exploring the extended phase space within the Rényi statistics. Working on a modified version of Smarr formula, the thermodynamic pressure $P$ and volume $v$ of a charged black hole are found to be related to the non-extensive parameter. The resulting $P-v$ diagram indicates that the thermodynamics of charged black holes in asymptotically flat spacetime via Rényi statistics has the Van der Waals phase structure, equivalent to that in asymptotically AdS spacetime via Gibbs-Boltzmann statistics.
