A model violating the Boltzmann distribution
Statistical Mechanics
2016-12-01 v2 Quantum Physics
Abstract
We study a model of an ionic conductor having interstitial ions that jump from site to site. The conductor is subject to an external electric field. According to classical mechanics, the ion number density follows the Boltzmann distribution. But according to quantum mechanics, we show that the Boltzmann distribution is violated by a factor of 2. And the violation provides a mechanism to explain the Haven ratio observed in some experiments.
Cite
@article{arxiv.1611.07402,
title = {A model violating the Boltzmann distribution},
author = {Yong-Jun Zhang},
journal= {arXiv preprint arXiv:1611.07402},
year = {2016}
}
Comments
4 pages, 5 figures