Abstract:
We study the problem on calculation of the electric potential for the 2D silicon transistor occupying a domain Ω with an adjoint silicon oxide nanochannel occupying a domain ΩG. By numerical simulations we justify the reduction of this problem in the domain Ω∪ΩG to that for finding the potential only in the domain Ω.
Keywords:
hydrodynamical model, the Poisson equation, metal oxide semiconductor field effect transistor, the parabolic regularization, longitudinal-transverse sweep method.
Citation:
A. M. Blokhin, A. S. Ibragimova, “On calculation of the electric potential for 2D silicon transistor with a silicon oxide nanochannel”, Mat. Model., 22:9 (2010), 79–94; Math. Models Comput. Simul., 3:2 (2011), 245–256
\Bibitem{BloIbr10}
\by A.~M.~Blokhin, A.~S.~Ibragimova
\paper On calculation of the electric potential for 2D silicon transistor with a silicon oxide nanochannel
\jour Mat. Model.
\yr 2010
\vol 22
\issue 9
\pages 79--94
\mathnet{http://mi.mathnet.ru/mm3019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2767923}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 2
\pages 245--256
\crossref{https://doi.org/10.1134/S2070048211020025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929079730}
Linking options:
https://www.mathnet.ru/eng/mm3019
https://www.mathnet.ru/eng/mm/v22/i9/p79
This publication is cited in the following 3 articles:
Blokhin A., Semisalov B., “A New Approach to Numerical Simulation of Charge Transport in Double Gate-Mosfet”, Appl. Math. Comput., 342 (2019), 206–223
A. M. Blokhin, B. V. Semisalov, “Chislennoe reshenie zadachi o perenose zaryada v tranzistore DG-MOSFET”, Matem. modelirovanie, 26:8 (2014), 126–148
A. M. Blokhin, B. V. Semisalov, “On an algorithm for finding the electric potential distribution in the DG-MOSFET transistor”, Comput. Math. Math. Phys., 53:6 (2013), 798–822