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The analysis on the single particle model of CDW

Lian-Gang Li·Yong-Feng Ruan
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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.

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Lian-Gang Li, Yong-Feng Ruan. 2008-09-23. The analysis on the single particle model of CDW. https://doi.org/10.1016/j.physleta.2008.08.055

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