Name
Title | ||
|---|---|---|
An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes |
Abstract | ||
|---|---|---|
We present an entropic quantum drift-diffusion model (eQDD) and show how it can be derived on a bounded domain as the diffusive approximation of the Quantum Liouville equation with a quantum BGK operator. Some links between this model and other existing models are exhibited, especially with the density gradient (DG) model and the Schrodinger-Poisson drift-diffusion model (SPDD). Then a finite difference scheme is proposed to discretize the eQDD model coupled to the Poisson equation and we show how this scheme can be slightly modified to discretize the other models. Numerical results show that the properties listed for the eQDD model are checked, as well as the model captures important features concerning the modeling of a resonant tunneling diode. To finish, some comparisons between the models stated above are realized. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2006.06.027 | J. Comput. Physics |
Keywords | Field | DocType |
quantum liouville equation,bounded domain,density matrix,schrödinger–poisson drift-diffusion,density gradient,entropic quantum drift diffusion,current–voltage characteristics,poisson equation,existing model,entropic quantum drift-diffusion model,electron transport,resonant tunneling diode,quantum liouville,finite difference scheme,eqdd model,current-voltage characteristics,quantum bgk operator,schrodinger-poisson drift-diffusion model,entropic quantum drift-diffusion,schrodinger poisson drift diffusion | Quantum tunnelling,Statistical physics,Quantum,Poisson's equation,Quantum mechanics,Operator (physics),Density matrix,Mathematical model,Bhatnagar–Gross–Krook operator,Resonant-tunneling diode,Physics | Journal |
Volume | Issue | ISSN |
221 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
9 | 1.05 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Degond | 1 | 251 | 43.75 |
| Samy Gallego | 2 | 15 | 2.82 |
| Florian Méhats | 3 | 80 | 14.01 |