Electrodynamics of a Classical Charge Density Wave Model with Random Pinning

We have evidence that the classical random pinning model , if simulated numerically using a phase evolution scheme pioneered by Littlewood , gives dispersion relationships that are inconsistent with experimental values near threshold. . These results argue for a revision of contemporary classical models of charge density wave transport phenomena. Classically, phase evolution equations are in essence driven harmonic oscillator models , with perturbing terms plus damping. These break down when we are adding more ‘energy’ into a measured sample via an applied electric field than is dissipated via a damping coefficient behavior in a phase evolution equation. We see the consequences of the breakdown of these phase evolution models in Charge Density Wave conductivity and dielectric functional graphs. PACS numbers : 71.45.Lr,71.55.-i , 71.55.Ak,78.20.Ci,78.20.Bh