We compute the Lyapunov exponents for test particles orbiting in unstable circular trajectories around D-dimensional Reissner-Nordström (RN) black holes, scrutinizing instances of the chaos bound violation. Notably, we discover that an increase in particle angular momentum exacerbates the breach of the chaos bound. Our research centrally investigates the correlation between black hole thermodynamic phase transitions and the breaking of the chaos limit. Findings suggest that the chaos bound can only be transgressed within thermodynamically stable phases of black holes. Specifically, in the four-dimensional scenario, the critical point of the thermodynamic phase transition aligns with the threshold condition that delineates the onset of chaos bound violation. These outcomes underscore a deep-rooted link between the thermodynamic stability of black holes and the constraints imposed by the chaos bound on particle dynamics.

中文翻译：

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D 维 RN 黑洞中的热力学稳定性与混沌界破坏：角动量效应和相变


我们计算了围绕 D 维 Reissner-Nordström (RN) 黑洞不稳定圆形轨迹运行的测试粒子的李亚普诺夫指数，仔细检查了混沌边界违规的实例。值得注意的是，我们发现粒子角动量的增加加剧了混沌界限的突破。我们的研究集中研究黑洞热力学相变与混沌极限突破之间的相关性。研究结果表明，混沌界限只能在黑洞的热力学稳定相内被超越。具体来说，在四维场景中，热力学相变的临界点与描述混沌界限破坏开始的阈值条件一致。这些结果强调了黑洞的热力学稳定性与粒子动力学的混沌约束所施加的约束之间根深蒂固的联系。