Blackbody heat capacity at constant pressure

被引:0
作者
Moreira Jr, E. S. [1 ]
机构
[1] Univ Fed Itajuba, Inst Matemat & Comp, BR-37500903 Itajuba, MG, Brazil
来源
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2024年 / 2024卷 / 06期
关键词
Casimir effect; quantum gases; blackbody thermodynamics; FINITE-TEMPERATURE; CASIMIR; VACUUM; ENERGY; ZERO;
D O I
10.1088/1742-5468/ad4e2b
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
At first glance, the title of this work seems to be improper. And the reason is well known. Since blackbody pressure depends only on temperature, one cannot take the derivative of the thermodynamic quantities with respect to one of them, keeping the other constant. That is, the heat capacity at constant pressure, C P , as well as, the coefficient of thermal expansion, alpha, and the isothermal compressibility, kappa T , are ill-defined quantities. This work will show that when the perfect conducting nature of the walls of a blackbody cavity is taken into account, C P , alpha and kappa T are in fact well defined, and they are related by the usual thermodynamic relations, as expected. Two geometries will be considered, namely, a spherical shell and a cubic box. It will be shown that C P , alpha and kappa T depend very much on the geometry of the cavity. Issues regarding thermodynamic stability will be addressed, revealing that they also depend on the cavity's geometry. It is argued that these findings may be amenable to experimental verification.
引用
收藏
页数:10
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