Math @ Duke
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Publications [#244143] of Stephanos Venakides
Papers Published
- Bonilla, LL; Kindelan, M; Moscoso, M; Venakides, S, Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices,
SIAM Journal on Applied Mathematics, vol. 57 no. 6
(January, 1997),
pp. 1588-1614, Society for Industrial & Applied Mathematics (SIAM) [doi]
(last updated on 2024/04/19)
Abstract: 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 waves representing domain walls connecting regions of the SL where the electric field is almost uniform.
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