Abstract In this paper, we study the effects of thermal fluctuations on thermodynamics of charged rotating and accelerating anti-de Sitter black hole. We first derive exact expressions of thermodynamic quantities such as entropy, Hawking temperature and angular velocity for slowly accelerating black hole. We then compute Smarr–Gibbs–Dehum relation and thermodynamical volume in extended phase space. To discuss the impact of quantum fluctuations, we evaluate leading-order correction terms to entropy which modify other thermodynamical equations of state. Finally, we calculate specific heat to examine the local stability of this black hole. It is found that the logarithmic corrections originated from thermal fluctuations induce instability to small black holes.

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带电旋转加速 AdS 黑洞热涨落的研究

摘要 本文研究了热涨落对带电旋转加速反德西特黑洞热力学的影响。我们首先推导出缓慢加速的黑洞的热力学量的精确表达式，例如熵、霍金温度和角速度。然后我们计算扩展相空间中的 Smarr-Gibbs-Dehum 关系和热力学体积。为了讨论量子涨落的影响，我们评估了修正其他热力学状态方程的熵的前级修正项。最后，我们计算比热来检验这个黑洞的局部稳定性。发现源于热涨落的对数修正会导致小黑洞的不稳定性。