Nonlinear charge transport in nanostructures

Topics:

• Derivation of nonlocal quantum balance equations from Wigner-BGK-Poisson kinetic models. Applications to strongly intermediate and weakly coupled superlattices.

• Asymptotic analysis of nonlocal discrete models of sequential tunneling transportn superlattices. Applications to relocation of electric field domains and to self-sustained oscillations of the current.

• Spatio temporal chaos in dc voltage biased superlattices.

• Study of nonlinear stochastic differential equations. Modelling effects of Shot noise on the charge transport in superlattices.

• Derivation of discrete hydrodynamic models of charge transport in superlattices