AI 中文总结
该研究在爱因斯坦-欧拉-海森堡框架下，结合热涨落的量子效应，分析了AdS欧拉-海森堡黑洞的热力学性质，发现热涨落重构了其热力学相空间，量子修正主导黑洞稳定性，修正比热存在多个发散与符号变化，对应二阶相变。
AI 中文摘要
我们研究了由非线性电动力学修正引力产生的AdS黑洞的热力学行为，通过热涨落纳入量子效应。从爱因斯坦-欧拉-海森堡框架出发，我们考虑修正后的黑洞解，并在扩展相空间中分析其热力学性质。得到了熵的对数和逆面积修正，由此得到焓、内能、亥姆霍兹自由能和吉布斯自由能的修正表达式。修正后的比热表现出多个发散和符号变化，标志着真实的二阶相变，并揭示了量子稳定的微观相随后出现的普适宏观不稳定性。我们的结果表明，热涨落从本质上重构了热力学相空间，并突出了量子修正在决定黑洞稳定性方面的主导作用。
英文摘要
We investigate the thermodynamic behaviour of an AdS black hole arising from nonlinear electrodynamics-corrected gravity, incorporating quantum effects through thermal fluctuations. From the Einstein--Euler--Heisenberg framework, we consider the modified black hole solution and analyse its thermodynamic properties in the extended phase space. Logarithmic and inverse-area corrections to the entropy are obtained, leading to modified expressions for enthalpy, internal energy, Helmholtz free energy and Gibbs free energy. The corrected specific heat exhibits multiple divergences and sign changes, signalling genuine second-order phase transitions and revealing a quantum-stabilized microscopic phase followed by universal macroscopic instability. Our results demonstrate that thermal fluctuations qualitatively restructure the thermodynamic phase space and highlight the dominant role of quantum corrections in governing the black hole stability.
CommentsAccepted for publication at EPJC
