J. Phys. I France 2 (1992) 725-740
Space-time distributions of solitons for the current conversion problem in charge density wavesS. Brazovskii and S. Matveenko
L.D. Landau Institute for theoretical Physics, Kosygina 2, Moscow, Russia
(Received 3 January 1992, accepted 17 January 1992)
Dissipative dynamics equations of Charge Density Waves (CDW) are derived for a homogeneous distribution of solitons and dislocations. Response functions for the CDW current and for the electric field are found for a spontaneous conversion process of electrons into solitons. A one- dimentional development of the injection current impulse is studied in details. The problem is investigated for a purely dissipative CDW regime and within a diffusion approximation for solitons. We find that first the nominal CDW current , which is due to the CDW phase velocity , and the electric field are established along the sample length in a very short time. Later on the diffusion front passes along with a constant velocity , where b is a mobility of solitons. It is followed by the growth of the soliton concentration and by the decrease of local coherent CDW current . At largest time t they are related as . The total electric current is nearly additive being almost constant. Also a stationary distribution is studied for generation of solitons at the presence of a constant CDW current. It is characterized by a step-like profile of the defects concentration.
© Les Editions de Physique 1992