AI 中文总结
研究两种热力学方案下的四维爱因斯坦-高斯-博内特反德西特黑洞热力学，二者相变结构定性一致但临界参数有定量差异，方案A不带电时临界视界半径更大、临界温压更低。
AI 中文摘要
我们比较了与同一静态球对称四维爱因斯坦-高斯-博内特反德西特黑洞相关的两种热力学方案。方案A采用由表面引力得到的常规霍金温度，因此产生带有对数修正的熵；方案B在热力学荷层面保持标量场的平移对称性，恢复贝肯斯坦-霍金面积定律，并要求修正温度以满足热力学第一定律的一致性。我们在扩展相空间中推导了两种方案的状态方程、吉布斯自由能、热容量和临界量。两种模型呈现出相同的定性范德瓦尔斯相变结构，但临界尺度和局部稳定区域存在定量差异。在不带电情况下，方案A的临界视界半径比方案B更大，而临界温度和压力则比方案B更低。
英文摘要
We compare two thermodynamic prescriptions associated with the same static, spherically symmetric four-dimensional Einstein-Gauss-Bonnet anti-de Sitter black hole. Model A uses the usual Hawking temperature obtained from the surface gravity and consequently yields an entropy with a logarithmic correction. Model B preserves the shift symmetry of the scalar field at the level of the thermodynamic charges, recovers the Bekenstein-Hawking area law, and requires a modified temperature for consistency with the first law. We derive the equations of state, Gibbs free energies, heat capacities, and critical quantities of both prescriptions in the extended phase space. The two models display the same qualitative Van der Waals phase structure, but their critical scales and local stability regions differ quantitatively. In the uncharged case, Model A has a larger critical horizon radius and lower critical temperature and pressure than Model B.
Comments16 pages, 4 figures, 2 tables
