Exact expression for average kinetic energy of 2-dimensional freely jointed chain and a related model
Statistical Mechanics
2021-10-01 v1 Classical Physics
Abstract
For a 2-dimensional freely jointed chain with 3 particles and a related model, the average and variance of the kinetic energies of each particle in thermal equilibrium are exactly obtained. The same is done for a related model. The excess of average kinetic energies near the chain ends, previously observed by numerical simulation, is analytically confirmed. The non-uniformity of the average kinetic energy results from the generalized principle of equipartition of energy. The non-uniformity also depends on temperature for a model that has intra-chain potential, and we can control it from outer-energetic to inner-energetic by decreasing the temperature.
Keywords
Cite
@article{arxiv.2109.14968,
title = {Exact expression for average kinetic energy of 2-dimensional freely jointed chain and a related model},
author = {Tetsuro Konishi and Tatsuo Yanagita},
journal= {arXiv preprint arXiv:2109.14968},
year = {2021}
}
Comments
14 pages, 11 figures