Authors: Andrew Beckwith
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.
Comments: 18 pages, Constitutes one fifth of the author's PhD dissertation at the U. of Houston, in late 2001. Remainder of dissertation used Sidney Coleman's "fate of the false vacuum" article, plus the Schwinger equation, with chain couplings to fix short comings evident in the simulations presented in this document. 6 figures.
[v1] 28 Sep 2009
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