论文标题

带电广告的微观结构黑洞,长度最小效果

Microstructure of Charged AdS Black Hole with Minimal Length Effects

论文作者

Bai, Ningchen, He, Aoyun, Tao, Jun

论文摘要

在这项工作中,研究了在最小长度效应下带电广告的微观结构。我们研究扩展相空间中黑洞的热力学,其中宇宙常数被视为热力学压力。根据普遍的不确定性原理(GUP)获得了修改后的鹰温度和相变。然后,使用热力学几何形状,我们表明黑洞的微观结构可以通过GUP参数与电荷的比率确定。对于较小的比例,黑洞表现出具有范德华相变和排斥/有吸引力的相互作用的典型RN-ADS微结构。随着比率的增加,重新进入的相变发生了,在这种情况下,以黑洞的排斥 - 诱使共存为黑洞,吸引人的吸引力可以占主导地位。在很大的比例中,黑洞的行为就像是施瓦兹柴尔德 - 阿德斯黑洞,在该黑洞中既不存在相变和排斥相互作用。这些结果表明,GUP效应将减少带电广告黑洞所表现出的排斥相互作用,这也可以从黑洞分子的角度来定性地理解。

In this work, the microstructure of charged AdS black holes under minimal length effects is investigated. We study the thermodynamics of black holes in the extended phase space, where the cosmological constant is regarded as the thermodynamic pressure. The modified Hawking temperature and phase transition are obtained based on the generalized uncertainty principle (GUP). Then, using thermodynamic geometry, we show that the microstructure of black holes can be determined by the ratio of GUP parameter to charge. For a small ratio, the black hole exhibits the typical RN-AdS microstructure with van der Waals phase transition and repulsive/attractive interactions. As the ratio increases, the reentrant phase transition takes place, and both the repulsion-attraction coexisted black hole and the attraction dominated black hole can be found in this case. For a large ratio, the black hole behaves like a Schwarzchild-AdS black hole in which neither phase transition nor repulsive interaction exists. These results suggest that the GUP effect will reduce the repulsive interaction presented by the charged AdS black hole, which can also be qualitatively understood from the perspective of black hole molecules.

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