In this paper, the thermodynamical properties and the phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the [Formula: see text] gravity. By studying the conditions for the phase transitions, it has been shown that the [Formula: see text] criticality and the van der Waals like phase transitions can be achieved for [Formula: see text]. The Joule–Thomson expansion effects are also examined for the charged accelerating AdS black holes of the [Formula: see text] gravity. Here, we derive the inversion temperatures as well as the inversion curves. Then, we determine the position of the reverse point for different values of mass [Formula: see text] and parameter [Formula: see text] for the corresponding black hole. At this point, the Joule–Thompson coefficient is zero. So, in such case, we can say that such point is very important for the finding of cooling–heating regions. Finally, we calculate the ratio of minimum inversion temperature and critical temperature for such black hole.

中文翻译：

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f(R) 引力的带电加速 AdS 黑洞和焦耳-汤姆逊膨胀

本文在[公式：见正文]引力的框架下研究了带电加速反德西特（AdS）黑洞的热力学性质和相变。通过研究相变的条件，已经表明[公式：见文本]的临界性和范德华相变可以实现[公式：见文本]。焦耳-汤姆逊膨胀效应也被研究用于 [公式：见文本] 引力的带电加速 AdS 黑洞。在这里，我们推导出了反演温度以及反演曲线。然后，我们确定对应黑洞的不同质量值[公式：见文本]和参数[公式：见文本]的反向点的位置。此时，焦耳-汤普森系数为零。所以，在这种情况下，可以说，这一点对于寻找冷热区非常重要。最后，我们计算了这种黑洞的最低反转温度与临界温度的比值。