Non-equilibrium current via geometric scatterers

Pavel Exner (1, 2) , Hagen Neidhardt (3) , Miloš Tater (2) , Valentin A Zagrebnov (4)

1 CVUT - Doppler Institute for Mathematical Physics and Applied Mathematics
2 Nuclear Physics Institute [Prague]
3 WIAS - Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin]
4 I2M - Institut de Mathématiques de Marseille

We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of which are fermions and analyze numerically its dependence of the model parameters in examples, where the scatterer has a rectangular or triangular shape.

Mots clés: geometric scatterer; non-equilibrium steady states

Domaines: Analyse fonctionnelle [math.FA]

Pavel Exner, Hagen Neidhardt, Miloš Tater, Valentin A Zagrebnov. Non-equilibrium current via geometric scatterers. Journal of Physics A: Mathematical and Theoretical, 2014, 47 (39), ⟨10.1088/1751-8113/47/39/395301⟩. ⟨hal-00992397⟩