Numéro
J. Phys. I France
Volume 2, Numéro 5, May 1992
Page(s) 725 - 740
DOI https://doi.org/10.1051/jp1:1992176
DOI: 10.1051/jp1:1992176
J. Phys. I France 2 (1992) 725-740

Space-time distributions of solitons for the current conversion problem in charge density waves

S. Brazovskii and S. Matveenko

L.D. Landau Institute for theoretical Physics, Kosygina 2, Moscow, Russia


(Received 3 January 1992, accepted 17 January 1992)

Abstract
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 $j_\infty$, which is due to the CDW phase velocity $\beta_{\infty}=-\pi j_{\infty}$, and the electric field $E_{\infty} \propto j_{\infty}$ are established along the sample length in a very short time. Later on the diffusion front passes along with a constant velocity $b{\rm E}_{\infty}$, where b is a mobility of solitons. It is followed by the growth of the soliton concentration $\rho_{\rm s}$ and by the decrease of local coherent CDW current $j(x,t) \propto \beta(x,t)$. At largest time t they are related as $j(x,t) \propto \rho_{\rm s}^{-1} \propto t^{-1/3}$. The total electric current is nearly additive $J\approx j+2j_{\rm s}$ 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

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.