In the framework of holography, we discuss on the phase transition behavior from a novel Gauss–Bonnet AdS black hole discovered in [Phys. Rev. Lett. 124, 081301 (2020)] in both charged and neutral cases. First, we explore the thermodynamic behavior for the black hole entropy by investigating \(T-S\) diagram, specific heat capacity and free energy, and we find that, in the \(T-S\) plane, the black hole exhibits a van der Waals phase transition similar to that in \(P-V\) plane in extended phase space. Secondly, we detect thermodynamic phase transition for the two point correlation function, and find that, the van der Waals phase transition can also be displayed in the \(T-\delta L \) plane which is completely similar to that of black hole entropy in the \(T-S\) plane. Our result turns out that, not only the charged but also neutral cases, we can observe holographic van der Waals phase transition for the novel Gauss–Bonnet AdS black hole by employing the black hole entropy and two point correlation function.

中文翻译：

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新型高斯-邦尼特AdS黑洞的全息相变

在全息术的框架中，我们讨论了[Phys。牧师 124，081301（2020）]。首先，我们通过研究\（TS \）图，比热容和自由能来探索黑洞熵的热力学行为，并且发现在\（TS \）平面上，黑洞表现出范德华力相变类似于扩展相空间中\（PV \）平面中的相变。其次，我们检测了两点相关函数的热力学相变，发现范德华相变也可以显示在\（T- \ delta L \）中该平面与\（TS \）平面中的黑洞熵完全相似。我们的结果表明，不仅在带电情况下，而且在中性情况下，我们都可以通过利用黑洞熵和两点相关函数来观察新型Gauss-Bonnet AdS黑洞的全息范德华相变。