In this paper, under the framework of generalized uncertainty principle (GUP), based on the quantum tunneling radiation, we discuss the influence of dark matter on thermodynamics and phase transition from the X-cold dark matter (XCDM) black hole in Braneworld. It turns out that the existence of the dark matter can give rise to some new relations such as local temperature–mass, heat capacity–mass and local free energy–local temperature, and dark matter can play an important role in phase transitions. It is worth emphasizing that the first-order phase transition, second-order and Hawking–Page-like phase transitions can be observed from the new phase diagrams, and the novel and interesting thermodynamics behavior has been presented under the influence of GUP and dark matter.

中文翻译：

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基于GUP框架的暗物质对braneworld XCDM黑洞相变的影响

本文在广义不确定性原理（GUP）的框架下，基于量子隧穿辐射，讨论了暗物质对Braneworld中X冷暗物质（XCDM）黑洞的热力学和相变的影响。事实证明，暗物质的存在可以产生局部温度-质量、热容-质量、局部自由能-局部温度等新关系，暗物质在相变中可以发挥重要作用。值得强调的是，从新的相图中可以观察到一级相变、二级相变和霍金-佩奇状相变，并在GUP和暗物质的影响下呈现出新颖有趣的热力学行为.