Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices

@article{Bonilla1997PeriodicGA,
  title={Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices},
  author={L. Bonilla},
  journal={SIAM J. Appl. Math.},
  year={1997},
  volume={57},
  pages={1588-1614}
}
  • L. Bonilla
  • Published 1997
  • Physics, Computer Science
  • SIAM J. Appl. Math.
The continuum limit of a recently proposed model for charge transport in resonant-tunneling semiconductor superlattices (SLs) 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… Expand
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