论文标题
RN-ADS Black black Hole在Davies Points的分数相变
Fractional phase transitions of RN-AdS black hole at Davies points
论文作者
论文摘要
我们根据基于分数衍生物建立的一般性Ehrenfest分类对RN-ADS Black Hole在其Davies点上的RN-ADS Black Hole的相变进行了研究。戴维斯指向热容量分歧的位置标记。根据通常的Ehrenfest分类，那里发生了二阶相变。对于RN-ADS黑洞，戴维斯点可以分为两种类型。第一种类型对应于温度的极端值，第二种类型对应于温度的感染点（即临界点）。采用广义的Ehrenfest分类，我们发现两种类型的戴维斯点的相变顺序是不同的。它是第一类的$ 3/2 $ - 订单，第二类是$ 4/3 $ - 订单。因此，这种较细粒的分类可以区分应该属于同一类别的相位转变，这可能为更好地理解黑洞热力学提供一些新的见解。
We perform a study of phase transitions of RN-AdS black hole at its Davies points according to a generalized Ehrenfest classification of phase transition established on the basis of fractional derivatives. Davies points label the positions where heat capacity diverges. According to the usual Ehrenfest classification, second-order phase transitions occur there. For RN-AdS black hole, the Davies points can be classified into two types. The first type corresponds to the extreme values of temperature and the second type corresponds to the infection point(namely the critical point) of temperature. Employing the generalized Ehrenfest classification, we find that the orders of phase transition at the two types of Davies points are different. It is $3/2$-order for the first type and $4/3$-order for the second type. Thus this finer-grained classification can discriminate phase transitions that are supposed to be in the same category, which may provide some new insights toward a better understanding of black hole thermodynamics.
