统计熵一定正比于体积吗  

IS THE STATISTICAL ENTROPY NECESSARILY PROPORTIONAL TO VOLUME?

作　　者：陈玲 张保成 CHEN Ling;ZHANG Baocheng(School of Mathematics and Physics,China University of Geosciences,Wuhan,Hubei 430074)

机构地区：[1]中国地质大学(武汉)数学与物理学院,武汉湖北430074

出　　处：《物理与工程》2021年第4期41-44,共4页Physics and Engineering

基　　金：中央高校教改基金本科教学工程(2019G46);国家自然科学基金(11654001,91636263)资助。

摘　　要：一直以来大家都认为物理系统的热力学熵或统计熵与该系统所占的空间体积成正比,特别是微观体系的统计计算为这一结论提供了可信的基础。事实上,最近的研究发现,即使采用几乎同样的统计计算方法,当研究对象变成黑洞的时候,统计熵不再正比于体积,而是正比于面积。这样新颖而有趣的结论不仅对理解统计计算方法本身,而且对理解热力学量之间的关系都有极大的帮助。It is always thought that the thermodynamic entropy or the statistical entropy is proportional to the volume occupied by the physical system.In particular,the statistical calculation for the entropy of the microscopic system provides a credible base for this conclusion.In fact,recent studies found that the statistical entropy is no longer proportional to the volume,but proportional to the area,when the research object becomes a black hole even with almost the same statistical calculation method.This novel and interesting conclusion is of great help not only to understand the statistical calculation method itself,but also to understand the relationship between thermodynamic quantities.

关 键 词：统计熵 玻色体系 黑洞 

分 类 号：O414.11[理学—理论物理]