On relation between renormalized frequency and heat capacity for particles in an anharmonic potential

被引：0

作者：

Liu, Y. T. ^{[1
]}

Zhao, Y. H. ^{[1
]}

Zhong, Y. ^{[1
]}

Shen, J. M. ^{[1
]}

Zhang, J. H. ^{[2
]}

Liu, Q. H. ^{[1
]}

机构：

[1] Hunan Univ, Sch Theoret Phys, Sch Phys & Elect, Changsha 410082, Peoples R China

[2] Hunan Univ, Coll Mat Sci, Changsha 410082, Peoples R China

来源：

ANNALS OF PHYSICS | 2023年 / 457卷

基金：

中国国家自然科学基金;

关键词：

Renormalization; Anharmonicity; Heat capacity; Poincare-Lindstedt method; Classical orbits; Statistical law;

D O I：

10.1016/j.aop.2023.169405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormalization of the natural frequency of the periodic motion; and statistical mechanics claims that the anharmonicity causes a correction to the heat capacity of an ideal gas in the anharmonic potential. The orbital motion and thermal motion depend on the same an-harmonic parameters, but in different combinations. These two manners of combinations are fundamentally different, demon-strating that statistical law cannot emerge from the deterministic law for the many-body system.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：10

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