22 citations · 22 across the 3 of their papers we have counts for
5 papers
Quantum transport in crystals: effective-mass theorem and k.p Hamiltonians
Luigi Barletti, Naoufel Ben Abdallah
In this paper the effective mass approximation and k.p multi-band models, describing quantum evolution of electrons in a crystal lattice, are discussed. Electrons are assumed to mo…
A corrector theory for diffusion-homogenization limits of linear transport equations
Guillaume Bal, Naoufel Ben Abdallah, Marjolaine Puel
This paper concerns the diffusion-homogenization of transport equations when both the adimensionalized scale of the heterogeneities and the adimensionalized mean-free path $\ep…
Diffusion and guiding center approximation for particle transport in strong magnetic fields
Naoufel Ben Abdallah, Raymond El Hajj
The diffusion limit of the linear Boltzmann equation with a strong magnetic field is performed. The giration period of particles around the magnetic field is assumed to be much sma…
High density limit of the stationary one dimensional Schrödinger-Poisson system
Raymond El Hajj, Naoufel Ben Abdallah
The stationary one dimensional Schrödinger-Poisson system on a bounded interval is considered in the limit of a small Debye length (or small temperature). Electrons are supposed to…
A double scale fast algorithm for the transient evolution of a resonant tunneling diode
Naoufel Ben Abdallah, Ali Faraj
The simulation of the time-dependent evolution of the resonant tunneling diode is done by a multiscale algorithm exploiting the existence of resonant states. After revisiting and i…