3 papers
math.AP2013
Analysis of models for quantum transport of electrons in graphene layers
Raymond El Hajj, Florian Méhats
We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can mo…
math.AP2010
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…
math.AP2010
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…