The analysis on the single particle model of CDW
Strongly Correlated Electrons
2008-09-23 v2
Abstract
Gruner put forward a single particle model of charge-density wave, which is a typical nonlinear differential equation, and also a mathematical model of pendulum. This Letter analyzes the solution of equation by the rotated vector fields theory, providing the relation between the applied field E and the periodic solution, and the conclusion that the critical value of E for the periodic solution is fixed in the over-damped situation. With these conclusions, it derives the formulae of nonlinear conductivity, narrow-band noise, which are consistent with the empirical ones given by Fleming.
Cite
@article{arxiv.cond-mat/0702061,
title = {The analysis on the single particle model of CDW},
author = {Lian-Gang Li and Yong-Feng Ruan},
journal= {arXiv preprint arXiv:cond-mat/0702061},
year = {2008}
}
Comments
This is a version with a physics focus, the part with a mathematical focus is submitted at arXiv:0807.3288