Reissner-Nordstrom几何中标量场的统计熵与能斯特定理  

THE NERNST THEOREM AND STATISTICAL ENTROPY OF THE SCALAR FIELD IN REISSNER-NORDSTROM GEOMETRY

作　　者：赵仁[1] 张丽春[1] 

机构地区：[1]雁北师范学院物理系,大同037000

出　　处：《物理学报》2001年第6期1015-1018,共4页Acta Physica Sinica

基　　金：国家自然科学基金! (批准号 :19773 0 0 3 );山西省自然科学基金! (批准号 :2 0 0 0 10 0 9)资助的课题&&

摘　　要：从Reissner Nordstrom时空背景下的Klein Gordon方程出发 ,利用改进的brick wall方法 膜模型 ,计算黑洞背景下标量场的自由能和熵 .得到标量场的熵是由两部分组成的 ,根据熵是广延量的性质 ,得到黑洞熵是由两个子热力学系统贡献的 .在此基础上给出了新的Bekenstein Smarr公式 .结果表明 ,用两个子热力学系统表达的熵 ,当黑洞的辐射温度趋于绝对零度时 ,黑洞的熵也趋于零 ,它满足能斯特定理 ,可视为黑洞的普朗克绝对熵 .Based on the Klein-Gordon equations on the background of the Reisser-Nordstrom spacetime, we calculate the free energy and entropy of a scaler field near a black hole by improved brick-wall methodmembrane model. It is obtained that the entropy of the scalar field consists of two parts. As the entropy is an extensive quantity, we obtain that the black hole entropy comes from two thermodynamical systems. And the new Bekenstein-Smarr formula is given. It is shown that the entropy expressed by two thermodynamical subsystems approaches zero when the radiation temperature of the black hole approaches absolute zero. This obeys Nernst theorem. It can be taken as Planck absolute entropy of a black hole.

关 键 词：brick-wall方法 膜模型 黑洞熵 能斯特定理 Reissner-Nordstrom 标量场 热力学 普朗克绝对熵 

分 类 号：O414.1[理学—理论物理] O412[理学—物理]