This repository is dedicated to the numerical solution of the drift-diffusion equation that incorporates quantum effects, employing the Gummel iteration for accurate and efficient computation.
How to run the code?
Run the Drift-Diffusion_Model.ipynb .
[1] Liu, Jinn-Liang. "A quantum corrected Poisson-Nernst-Planck model for biological ion channels." Computational and Mathematical Biophysics 3.1 (2015).
[2] De Falco, Carlo, et al. "Quantum-corrected drift-diffusion models for transport in semiconductor devices." Journal of Computational Physics 204.2 (2005): 533-561.
[3] de Falco, Carlo, Joseph W. Jerome, and Riccardo Sacco. "Quantum-corrected drift-diffusion models: Solution fixed point map and finite element approximation." Journal of Computational Physics 228.5 (2009): 1770-1789.
[4] Wettstein, Andreas, Oleg Penzin, and Eugeny Lyumkis. "Integration of the density gradient model into a general purpose device simulator." VLSI Design 15.4 (2002): 751-759.