Correction value to charged Bekenstein-Hawking black hole entropy  

作　　者：ZHANG LiChun WU YueQin ZHAO Ren 

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

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第9期1214-1220,共7页中国科学：物理学、力学、天文学（英文版）

基　　金：the Natural Science Foundation of Shanxi Province of China (Grant No 2006011012);the Doctoral Sustentation Fund of Shanxi Datong University of China

摘　　要：Recently,based on the study of black hole Hawking radiation with the tunnel effect method,we found that the radiation spectrum of the black hole is not a strict pure thermal spectrum. It is a very interesting problem to determine how the departure of the black hole radiation spectrum from the pure thermal spectrum affects entropy. We calculate the partition function by the energy spectrum obtained using tunnel effect. Using the relation between the partition function and entropy,we derive the correction value to Bekenstein-Hawking entropy of the charged black hole. Fur-thermore,we obtain the conditions that various thermodynamic quantities must satisfy,when phase transition of the charged black hole occurs.Recently, based on the study of black hole Hawking radiation with the tunnel effect method, we found that the radiation spectrum of the black hole is not a strict pure thermal spectrum. It is a very interesting problem to determine how the departure of the black hole radiation spectrum from the pure thermal spectrum affects entropy. We calculate the partition function by the energy spectrum obtained using tunnel effect. Using the relation between the partition function and entropy, we derive the correction value to Bekenstein-Hawking entropy of the charged black hole. Furthermore, we obtain the conditions that various thermodynamic quantities must satisfy, when phase transition of the charged black hole occurs.

关 键 词：TUNNEL effect Bekenstein-Hawking ENTROPY QUANTUM STATISTICS phase TRANSITION 

分 类 号：P145.8[天文地球—天体物理] O413.1[天文地球—天文学]