Reissner Nordstrom 黑洞几何中Dirac场的统计熵与能斯特定理

从Reissner Nordstrom时空背景下的 Dirac 方程出发，利用改进的 brick wall 方法-膜模型,计算黑洞背景下Dirac场的自由能和熵.得到Dirac场的熵是由两部分组成的,根据熵是广延量的特性,由此推得作者所讨论的热力学系统应是由两个热力学子系统组成.在此基础上给出了新的Bekenstein Smarr公式.结果表明,作者所定义的熵满足热力学第三定律.可视为黑洞的普朗克绝对熵.

The Nernst Theorem and Statistical Entropy of the Dirac Field =in Reissner Nordstrom Black Hole Geometry

Thinking of the Dirac equations on the background of Reissner Nordstrom space time, we calculate the free energy and entropy of Dirac field in a black hole by improved brick wall method(membrane model). It is shownthat the entropy of Dirac field consists of two parts. According to the propertythat the entropy is extensive quantity, we obtain that the thermodynamical subsystems. Further, the new Bekenstein Smarr formula is given. It is shown that the entropy defined now obeys the third law of thermodynamics. It can be taken asPlanck absolute entropy of a black hole.