1. The analysis on the single particle model of CDW
- Author
-
Yong-Feng Ruan and Lian-Gang Li
- Subjects
Physics ,Nonlinear conductivity ,Strongly Correlated Electrons (cond-mat.str-el) ,Field (physics) ,Particle model ,Mathematical analysis ,FOS: Physical sciences ,General Physics and Astronomy ,Critical value ,Noise (electronics) ,Condensed Matter - Strongly Correlated Electrons ,Classical mechanics ,Ordinary differential equation ,Pendulum (mathematics) ,Vector field - 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., This is a version with a physics focus, the part with a mathematical focus is submitted at arXiv:0807.3288
- Published
- 2007