The phase transition of the Einstein-Gauss-Bonnet AdS black hole has the similar property with the van der Waals thermodynamic system. However, it is determined by the Gauss-Bonnet coefficient , not only the horizon radius. Furthermore, the phase transition is not the pure one between a big black hole and a small black hole. With this issue, we introduce a new order parameter to investigate the critical phenomenon and to give the microstructure explanation of the Einstein-Gauss-Bonnet AdS black hole phase transition. And the critical exponents are also obtained. At the critical point of the Einstein-Gauss-Bonnet AdS black hole, we reveal the microstructure of the black hole by investigating the thermodynamic geometry. These results perhaps provide some certain help to deeply explore the black hole microscopic structure and to build the quantum gravity.

中文翻译：

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Einstein-Gauss-Bonnet AdS黑洞的微观结构和连续相变

Einstein-Gauss-Bonnet AdS黑洞的相变与van der Waals热力学系统具有相似的性质。然而，它是由高斯-博系数确定，不只是地平线半径 此外，相变不是在大黑洞和小黑洞之间的纯转变。为此，我们引入了一个新的阶数参数来研究临界现象并给出爱因斯坦-高斯-邦纳特AdS黑洞相变的微观结构解释。并获得了临界指数。在Einstein-Gauss-Bonnet AdS黑洞的临界点，我们通过研究热力学几何形状揭示了黑洞的微观结构。这些结果可能为深入探索黑洞的微观结构和建立量子引力提供一定的帮助。