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正则黑洞熵与相变

赵 仁 张丽春 张胜利

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正则黑洞熵与相变

赵 仁, 张丽春, 张胜利

Canonical entropy and phase transition of black hole

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  • 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.
    • 基金项目: 山西省自然科学基金(批准号:2006011012)资助的课题.
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出版历程
  • 收稿日期:  2007-03-18
  • 修回日期:  2007-05-28
  • 刊出日期:  2007-06-05

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