In this paper, considering the influence of generalized uncertainty principle, we explore phase transitions of the Rutz-Schwarzschild black hole based on the Parikh-Wilczek tunneling method. First, we obtain the corrected Hawking temperature, local temperature, remnant of black hole, entropy, heat capacity and other thermodynamic quantities. Then, we analyzed the effects of generalized uncertainty parameter β on phase transition. And we investigate thermodynamic stability, the critical behavior and phase transition structure under the influence of generalized uncertainty principle at last. The results show that there are first-order and second-order phase transitions in the Rutz-Schwarzschild black hole of the Finsler genometry framework. In addition, the generalized uncertainty parameter has great influence on the generation of black hole remnant.

在本文中，考虑广义不确定性原理的影响，我们基于 Parikh-Wilczek 隧穿方法探索了 Rutz-Schwarzschild 黑洞的相变。首先，我们得到校正后的霍金温度、局部温度、黑洞残余、熵、热容和其他热力学量。然后，我们分析了广义不确定性参数β的影响关于相变。最后研究了广义不确定原理影响下的热力学稳定性、临界行为和相变结构。结果表明，Finsler基因组学框架的Rutz-Schwarzschild黑洞存在一阶和二阶相变。此外，广义不确定性参数对黑洞残骸的产生也有很大影响。