正则黑洞熵  

Canonical entropy of black hole

作　　者：赵仁[1] 张丽春[1] 张胜利[2] 

机构地区：[1]山西大同大学物理系,大同037009 [2]西安交通大学理学院应用物理系,西安710049

出　　处：《物理学报》2007年第7期3719-3722,共4页Acta Physica Sinica

基　　金：山西省自然科学基金(批准号:2006011012)资助的课题.~~

摘　　要：应用隧道效应所得到的能量谱计算配分函数,进而计算黑洞熵.当本结论取一级近似时,熵修正的对数项与考虑广义不确定关系对黑洞熵修正的对数项一致,然而在计算中没有不确定因子.虽然对数修正项前的因子与考虑热波动对黑洞熵修正中对数项前的因子相同,但所给结论中当黑洞的热容量为负时也不存在发散项.所以本结论具有普遍性.Recently, Hawking radiation of the black hole was studied by tunnel effect method. It was found that the radiation spectrum of the black hole is not a strictly pure thermal spectrum. How the deviation between the radiation spectrum from pure thermal spectrum affect the entropy is a very interesting problem. In this paper, we calculate the partition function using the energy spectrum derived by tunnel effect, then obtain the entropy of the black hole. When we take first order approximation, the logarithmic term of entropy correction is consistent with the one considering the generalized uncertainty relation. However, in our calculation, there is no uncertain factor. And the coefficient of logarithmic correction term is the same one after considering the correction to the black hole entropy due to the thermal fluctuation. There are no divergent terms in our result when the thermal capacity of the black hole is negative. So our discussion has universality.

关 键 词：广义不确定关系 热波动 正则系综 量子修正 

分 类 号：P145.8[天文地球—天体物理]