On relation between renormalized frequency and heat capacity for particles in an anharmonic potential
Statistical Mechanics
2023-07-04 v1
Abstract
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 anharmonic parameters, but in different combinations. These two manners of combinations are fundamentally different, demonstrating that statistical law can not emerge from the many-body limit of deterministic law for one-body.
Keywords
Cite
@article{arxiv.2307.00340,
title = {On relation between renormalized frequency and heat capacity for particles in an anharmonic potential},
author = {Y. T. Liu and Y. H. Zhao and Y. Zhong and J. M. Shen and J. H. Zhang and Q. H. Liu},
journal= {arXiv preprint arXiv:2307.00340},
year = {2023}
}
Comments
9 pages, no figure. arXiv admin note: text overlap with arXiv:2210.00906