暗能量背景下黑洞的全息相变

发布时间：2018-10-24 13:58

【摘要】：在暗能量背景下,研究了黑洞的热力学熵和纠缠熵的相结构.分别讨论了黑洞的电荷和暗能量态参数对黑洞相结构的影响.对于固定的暗能量态参数,当电荷的值增大时,黑洞热力学熵和纠缠熵的相结构与范德瓦尔斯相变的相结构完全类似,即黑洞先后经历一阶相变、二阶相变,最后达到稳定态.对于固定的电荷,当暗能量态参数增大时,黑洞热力学熵和纠缠熵的相结构并不完全类似.特别是,纠缠熵随暗能量态参数的变化与热力学熵的变化趋势完全相反.相同的是,当暗能量态参数增大时,在纠缠熵-温度平面和热力学熵-温度平面,黑洞都经历一阶相变和二阶相变.对于热力学熵和纠缠熵,发现在一阶相变的不稳定区域,麦克斯韦的等面积法则始终成立,在二阶相变临界点附近,热容的临界指数都是2/3.
[Abstract]:Under the background of dark energy, the phase structure of thermodynamic entropy and entanglement entropy of black hole is studied. The effects of charge and dark energy state parameters on the phase structure of black hole are discussed respectively. For fixed dark energy state parameters, the phase structure of the thermodynamic entropy and entanglement entropy of black hole is completely similar to that of van der Waals phase transition when the value of charge increases, that is, the black hole goes through the first order phase transition, the second order phase transition, and finally the stable state. For a fixed charge, the phase structure of the thermodynamic entropy and entanglement entropy of black hole is not completely similar when the parameters of dark energy state increase. In particular, the change of entanglement entropy with dark energy state parameters is completely opposite to that of thermodynamic entropy. Similarly, when the parameters of dark energy state increase, both the entangled entropy-temperature plane and the thermodynamic entropy-temperature plane, the black hole undergo the first order phase transition and the second order phase transition. For thermodynamic entropy and entanglement entropy, it is found that Maxwell's constant area rule always holds in the unstable region of first order phase transition, and the critical exponent of heat capacity is 2 / 3 near the critical point of second order phase transition.
【作者单位】：四川文理学院智能制造学院;四川文理学院数学学院;
【分类号】：P145.8

【相似文献】