正则黑洞熵与相变  

Canonical entropy and phase transition 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]西安交通大学应用物理系,西安710049

出　　处：《物理学报》2007年第12期7355-7358,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：应用隧道效应对黑洞Hawking辐射研究得到的辐射谱,对非旋转黑洞的正则熵进行讨论.所得熵遵守Bekenstein-Hawking面积定律,并带有修正项,主要修正项与面积的对数成正比,另有与黑洞热容量有关的修正项.利用所给出的正则熵,对黑洞的相变进行讨论,得到当黑洞的热容量出现发散时,正则熵在该处并不出现复数,由此认为此相变为二级相变.By applying the radiation spectrum obtained from tunnel effect, we obtain the normal canonical entropy of black hole by discussing the entropy of non-rotation black hole. The entropy satisfies the Bekenstein-Hawking area law, and contains the terms of correction whose main terms are proportional to the logarithm of the area, and the rest of the correction terms are related to the thermal capacity of black hole. With the help of the obtained normal canonical entropy, we studied the phase transition and showed that when the thermal capacity is emanative, there are no plural numbers at this point in the normal canonical entropy, which shows that the phase transition is of the second order.

关 键 词：正则系综 量子修正 黑洞相变 

分 类 号：P145.8[天文地球—天体物理]