Numerical simulation of the one-dimensional incommensurate charge density wave dynamics

The effect of impurities on the dynamic properties of the charge density wave (CDW) system is explored through numerical simulations based on the one-dimensional Fukuyama, Lee and Rice (FLR) elastic model of weakly pinned incommensurate CDW. In agreement with previous experimental work, the current density JCDW transported by the sliding CDW and the associated excess conductivity σCDW are found to obey respectively the laws JCDW ∝ (E/ET−1)α and σCDW ∝ (ET/E) (E/ET −1α in a wide range of fields and impurity concentrations; α is an impurities dependent exponent and ET is the threshold field. The spatial mean velocity fluctuations present a pic which broadens with increasing field for E ⪢ ET.