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首页> 外文期刊>Physical review, D >Thermodynamics and Van der Waals phase transition of charged black holes in flat spacetime via Rényi statistics
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Thermodynamics and Van der Waals phase transition of charged black holes in flat spacetime via Rényi statistics

机译：通过Rényi统计，在平坦时空的带电黑洞的热力学和范德瓦尔斯阶段过渡

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摘要

The phase structure and critical phenomena of the 3 + 1 dimensional charged black holes in asymptotically flat spacetime are investigated within the Rényi statistics. As the nonextensive parameter λ above zero, a charged black hole can be in thermodynamic equilibrium with surrounding thermal radiation and have a Hawking–Page phase transition. This gives more evidence supporting the proposed conjectured equivalence between the black hole thermodynamics in asymptotically flat spacetime via Rényi statistics and that in asymptotically anti–de Sitter (AdS) spacetime via Gibbs–Boltzmann statistics. 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 the Smarr formula, the thermodynamic pressure P and volume v of a charged black hole are found to be related to λ . The thermodynamics of asymptotically flat charged black holes via Rényi statistics has the Van der Waals phase structure, P ? v criticality and universal constant, in a similar way as that of asymptotically AdS charged black hole via Gibbs–Boltzmann statistics. This raises an interesting question of how λ in the former system relates to | Λ | in the latter one.
机译：在Rényi统计中研究了渐近平板上的3 + 1维带黑洞的相位结构和临界现象。作为非偏差参数λ上方零，带电的黑洞可以具有围绕热辐射的热力学平衡，并且具有霍基突阶段转换。这给出了更多的证据，这些证据支持通过Rényi统计数据的渐近平板空间的黑洞热力学之间的提议的猜测等价，并且在渐近的反Deatter（广告）通过Gibbs-Boltzmann统计数据。目前的工作还通过探索Rényi统计中的扩展阶段空间来提供支持证据的另一个方面。在Smarr公式的改进版本上工作，发现充电黑洞的热力压P和体积V与λ相关。通过Rényi统计数据的渐近扁平带电黑洞的热力学具有van der Waals阶段结构，p？ v关键性和普遍的常数，以一种与渐近的广告通过Gibbs-boltzmann统计数据带电的黑洞。这提出了一个有趣的问题，关于前系统中的λ如何涉及| λ|在后者。

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