Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices
Publication
, Journal Article
Bonilla, LL; Kindelan, M; Moscoso, M; Venakides, S
Published in: SIAM Journal on Applied Mathematics
January 1, 1997
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.
Duke Scholars
Published In
SIAM Journal on Applied Mathematics
DOI
ISSN
0036-1399
Publication Date
January 1, 1997
Volume
57
Issue
6
Start / End Page
1588 / 1614
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bonilla, L. L., Kindelan, M., Moscoso, M., & Venakides, S. (1997). Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices. SIAM Journal on Applied Mathematics, 57(6), 1588–1614. https://doi.org/10.1137/S0036139995288885
Bonilla, L. L., M. Kindelan, M. Moscoso, and S. Venakides. “Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices.” SIAM Journal on Applied Mathematics 57, no. 6 (January 1, 1997): 1588–1614. https://doi.org/10.1137/S0036139995288885.
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. 1997 Jan 1;57(6):1588–614.
Bonilla, L. L., et al. “Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices.” SIAM Journal on Applied Mathematics, vol. 57, no. 6, Jan. 1997, pp. 1588–614. Scopus, doi:10.1137/S0036139995288885.
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. 1997 Jan 1;57(6):1588–1614.
Published In
SIAM Journal on Applied Mathematics
DOI
ISSN
0036-1399
Publication Date
January 1, 1997
Volume
57
Issue
6
Start / End Page
1588 / 1614
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics