The current conversion kinetics in charge density waves

Abstract

We derive and study the two-fluid dissipative hydrodynamics equations for the Charge Density Wave (CDW) plastic flow in the presence of a homogeneous distribution of defects: solitons and dislocations. For a one-dimensional development of the injection current impulse we find that the first electric field E ∞ ∋ j ∞ and the nominal CDW current j ∞ are established along the sample length in a very short time. Later on the diffusion front passes along with a constant velocity bE ∞, where b is a mobility of solitons. It is followed by growth of the soliton concentration ϱ, and by decrease of local coherent CDW current j ∋ E. At largest time t they develop as j ∋ ϱ −1 s ∋ t −1 3 or as ∋ («/t) 1 3 . The total electric current is nearly additive J ≈ j + 2 j s being almost constant. Also a stationary distribution is found at the presence of a constant CDW current passing by the injective terminal. It is characterized by a step-like profile of the defects concentration. The pseudostationary time-limited regime is found for the minority carriers injection.