Canonical Entropy and Phase Transition of Rotating Black Hole  

作　　者：赵仁 武月琴 张丽春 

机构地区：[1]Department of Physics, Shanxi Datong University, Datong 037009

出　　处：《Chinese Physics Letters》2008年第7期2385-2388,共4页中国物理快报（英文版）

基　　金：Supported by the Natural Science Foundation of Shanxi Province （2006011012） and the Doctoral Sustentation Fund of Shanxi Datong University.

摘　　要：Recently, the Hawking radiation of a black hole has been studied using the tunnel effect method. The radiation spectrum of a black hole is derived. By discussing the correction to spectrum of the rotating black hole, we obtain the canonical entropy. The derived canonical entropy is equal to the sum of Bekenstein-Havcking entropy and correction term. The correction term near the critical point is different from the one near others. This difference plays an important role in studying the phase transition of the black hole. The black hole thermal capacity diverges at the critical point. However, the canonical entropy is not a complex number at this point. Thus we think that the phase transition created by this critical point is the second order phase transition. The discussed black hole is a five-dimensional Kerr-AdS black hole. We provide a basis for discussing thermodynamic properties of a higher-dimensional rotating black hole.Recently, the Hawking radiation of a black hole has been studied using the tunnel effect method. The radiation spectrum of a black hole is derived. By discussing the correction to spectrum of the rotating black hole, we obtain the canonical entropy. The derived canonical entropy is equal to the sum of Bekenstein-Havcking entropy and correction term. The correction term near the critical point is different from the one near others. This difference plays an important role in studying the phase transition of the black hole. The black hole thermal capacity diverges at the critical point. However, the canonical entropy is not a complex number at this point. Thus we think that the phase transition created by this critical point is the second order phase transition. The discussed black hole is a five-dimensional Kerr-AdS black hole. We provide a basis for discussing thermodynamic properties of a higher-dimensional rotating black hole.

关 键 词：the power-law exponents precipitation durative abrupt precipitation change 

分 类 号：O43[机械工程—光学工程] P1[理学—光学]