This paper investigates the Joule-Thomson expansion for a five-dimensional neutral Gauss-Bonnet Anti-de Sitter black hole. Firstly, by taking Van der Waals gas as an example, we induce the definition of the Joule-Thomson coefficient and the inversion phenomena. One can give the T–P graph and the inversion curves. Then, we obtain the thermodynamic properties of the Gauss-Bonnet black hole and use the same way to get the T–P figure, which shows differences from Van der Waals gas and other black holes. To our surprise, we can’t observe its inversion phenomena. Due to this reason, we further studied the vanished inversion region and found that the electric charge plays an important role in this phenomenon. We analogy black hole charged and neutral, which get some interesting consequences. Finally, we make Legendre transition to Smarr relation and investigate whether the electric potential has the same result as the electric charge’s landscape. These results will uncover the inner interaction between the enthalpy and the electric charge during the Joule-Thomson process.

本文研究了五维中性 Gauss-Bonnet Anti-de Sitter 黑洞的 Joule-Thomson 展开。首先，以范德华气体为例，推导出焦耳-汤姆逊系数的定义和反演现象。可以给出 T-P 图和反演曲线。然后，我们获得了 Gauss-Bonnet 黑洞的热力学性质，并使用相同的方法获得了 T-P 图，它显示了与范德华气体和其他黑洞的差异。令我们惊讶的是，我们无法观察到它的反转现象。因此，我们进一步研究了消失的反转区，发现电荷在这种现象中起着重要作用。我们类比黑洞带电和中性，这会产生一些有趣的结果。最后，我们使勒让德转换为 Smarr 关系，并研究电势是否与电荷的景观具有相同的结果。这些结果将揭示焦耳-汤姆逊过程中焓和电荷之间的内部相互作用。