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VLSI Design
Volume 13 (2001), Issue 1-4, Pages 273-279
http://dx.doi.org/10.1155/2001/52981

Simulation of Submicron Silicon Diodes with a Non-Parabolic Hydrodynamical Model Based on the Maximum Entropy Principle

1Dipartimento di Matematica e Informatica, Universitá di Catania, Viale Andrea Doria, Catania 6-95125, Italy
2Dipartimento Interuniversitario di Matematica, Politecnico di Bari Via E. Orabona, Bari 4-70125, Italy

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [21 citations]

The following is the list of published articles that have cited the current article.

  • A.M. Blokhin, R.S. Bushmanov, and V. Romano, “Asymptotic stability of the equilibrium state for the hydrodynamical model of charge transport in semiconductors based on the maximum entropy principle,” International Journal of Engineering Science, vol. 42, no. 8-9, pp. 915–934, 2004. View at Publisher · View at Google Scholar
  • Orazio Muscato, “Hydrodynamic transport models for an ultrathin base Si bipolar transistor,” Journal of Applied Physics, vol. 96, no. 2, pp. 1219, 2004. View at Publisher · View at Google Scholar
  • Giovanni Mascali, and Vittorio Romano, “Simulation of Gunn oscillations with a non-parabolic hydrodynamical model based on the maximum entropy principle,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 24, no. 1, pp. 35–54, 2005. View at Publisher · View at Google Scholar
  • A.M. Blokhin, R.S. Bushmanov, A.S. Rudometova, and V. Romano, “Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semiconductors,” Nonlinear Analysis: Theory, Methods & Applications, vol. 65, no. 5, pp. 1018–1038, 2006. View at Publisher · View at Google Scholar
  • Orazio Muscato, “Validation of an extended hydrodynamic model for a submicron npn bipolar junction transistor,” Physica A: Statistical Mechanics and its Applications, vol. 365, no. 2, pp. 409–428, 2006. View at Publisher · View at Google Scholar
  • Orazio Muscato, and Vincenza Di Stefano, “Modeling heat generation in a submicrometric n[sup +]−n−n[sup +] silicon diode,” Journal of Applied Physics, vol. 104, no. 12, pp. 124501, 2008. View at Publisher · View at Google Scholar
  • A. M. Blokhin, and A. S. Ibragimova, “Numerical Method for 2D Simulation of a Silicon MESFET with a Hydrodynamical Model Based on the Maximum Entropy Principle,” SIAM Journal on Scientific Computing, vol. 31, no. 3, pp. 2015–2046, 2009. View at Publisher · View at Google Scholar
  • A.M. Blokhin, and R.S. Bushmanov, “Study of the jump conditions for the 2D MEP hydrodynamical model of charge transport in semiconductors,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 28, no. 2, pp. 249–271, 2009. View at Publisher · View at Google Scholar
  • A. M. Blokhin, and D. L. Tkachev, “Local-in-time well-posedness of a regularized mathematical model for silicon MESFET,” Zeitschrift für angewandte Mathematik und Physik, vol. 61, no. 5, pp. 849–864, 2010. View at Publisher · View at Google Scholar
  • A. M. Blokhin, and D. L. Tkachev, “Justification of the stabilization method for a mathematical model of charge transport in semiconductors,” Computational Mathematics and Mathematical Physics, vol. 51, no. 8, pp. 1395–1417, 2011. View at Publisher · View at Google Scholar
  • O. Muscato, and V. Di Stefano, “An Energy Transport Model Describing Heat Generation and Conduction in Silicon Semiconductors,” Journal of Statistical Physics, vol. 144, no. 1, pp. 171–197, 2011. View at Publisher · View at Google Scholar
  • O Muscato, and V Di Stefano, “Hydrodynamic modeling of the electro-thermal transport in silicon semiconductors,” Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 10, pp. 105501, 2011. View at Publisher · View at Google Scholar
  • Orazio Muscato, and Vincenza Di Stefano, “Heat generation and transport in nanoscale semiconductor devices via Monte Carlo and hydrodynamic simulations,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 30, no. 2, pp. 519–537, 2011. View at Publisher · View at Google Scholar
  • O. Muscato, and V. Di Stefano, “Local equilibrium and off-equilibrium thermoelectric effects in silicon semiconductors,” Journal of Applied Physics, vol. 110, no. 9, pp. 093706, 2011. View at Publisher · View at Google Scholar
  • A. M. Blokhin, and D. L. Tkachev, “Asymptotic Stability Of The Stationary Solution For A New Mathematical Model Of Charge Transport In Semiconductors,” Quarterly Of Applied Mathematics, vol. 70, no. 2, pp. 357–382, 2012. View at Publisher · View at Google Scholar
  • Martin Vasicek, Johann Cervenka, David Esseni, Pierpaolo Palestri, and Tibor Grasser, “Applicability of Macroscopic Transport Models to Decananometer MOSFETs,” Ieee Transactions On Electron Devices, vol. 59, no. 3, pp. 639–646, 2012. View at Publisher · View at Google Scholar
  • O. Muscato, and V. Stefano, “Hydrodynamic modeling of silicon quantum wires,” Journal of Computational Electronics, vol. 11, no. 1, pp. 45–55, 2012. View at Publisher · View at Google Scholar
  • V. D. Camiola, and V. Romano, “2DEG-3DEG Charge Transport Model for MOSFET Based on the Maximum Entropy Principle,” SIAM Journal on Applied Mathematics, vol. 73, no. 4, pp. 1439–1459, 2013. View at Publisher · View at Google Scholar
  • O. Muscato, and V. Di Stefano, “Hydrodynamic simulation of a n + − n − n + silicon nanowire,” Continuum Mechanics and Thermodynamics, 2013. View at Publisher · View at Google Scholar
  • O Muscato, and V Di Stefano, “Electro-thermal behaviour of a sub-micron silicon diode,” Semiconductor Science and Technology, vol. 28, no. 2, pp. 025021, 2013. View at Publisher · View at Google Scholar
  • V. D. Camiola, and V. Romano, “Hydrodynamical Model for Charge Transport in Graphene,” Journal of Statistical Physics, 2014. View at Publisher · View at Google Scholar