Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices

Preprint

28 November 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9611239

Abstract

The continuum limit of a recently-proposed model for charge transport in resonant-tunneling semiconductor superlattices is analyzed. It is described by a nonlinear hyperbolic integrodifferential equation on a one-dimensional spatial support, supplemented by shock and entropy conditions. For appropriate parameter values, a time-periodic solution is found in numerical simulations of the model. An asymptotic theory shows that the time-periodic solution is due to recycling and motion of shock waves representing domain walls connecting regions of the superlattice where the electric field is almost uniform.

Keywords

SEMICONDUCTOR SUPERLATTICES
SIMULATIONS OF THE MODEL
NUMERICAL SIMULATIONS
PERIODIC SOLUTION
TRAVELING FRONTS
ELECTRIC FIELD
SUPERLATTICES
PROPAGATION
SHOCK WAVES

All Related Versions

Version 1, 1996-11-28, ArXiv

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