标题： 在广义不确定性原理框架下，周围有第五元素的施瓦茨希尔德黑洞的热力学 显示英文标题

标题： Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework

摘要： 我们研究了被类精质能量-物质包围的施瓦茨希尔德黑洞的热力学，在线性和二次广义不确定性原理框架下进行。 考虑到位置方差的数量级为事件视界半径，并将动量方差与黑洞的霍金温度相等，我们将这些方差代入变形代数中。 由此我们得到了广义不确定性原理修正后的黑洞温度，最终得到黑洞的比热。 然后我们计算了临界质量和残留质量，并得到了熵的关系式。 我们观察到熵的关系式包括通常的一阶“\textit{四分之一的面积}”项，次一阶的对数项以及面积的高阶倒数修正项。 最后，计算了能量输出随时间的变化，得到了黑洞的蒸发时间。 结果表明，在线性和二次广义不确定性原理框架下，类精质参数对热力学量的依赖关系。 显示英文摘要

摘要： We investigate the thermodynamics of a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the order of the event horizon radius and equating the variance in the momentum to the Hawking temperature of the black hole, we substitute these variances in the deformed algebra. From there we obtained the generalized uncertainty principle-modified black hole temperature and eventually the specific heat of the black hole. Then we calculate the critical as well as the remnant mass and obtain the entropy relation. We observe that the entropy relation includes the usual leading order ``\textit{area divided by four}" term, sub-leading logarithmic term, and higher order inverse of the area corrections. Finally, calculating the energy output as a function of time, we obtain the evaporation time of the black hole. The results show the dependence of the quintessence parameter on the thermodynamic quantities in the framework of linear and quadratic generalized uncertainty principle.