Dynamical Onsager Coefficients in One-Dimensional Ballistic Transport

Within a correlation-function (CF) formalism we present a theoretical analysis of the Kelvin-Onsager coefficients (KOC) relating generalized fluxes to the applied external forces for a carrier system in a one-dimensional ballistic structure. We consider a two terminal device with length l terminated by ideal contacts and investigate the transition from equilibrium to non-equilibrium conditions. The basis of the kinetic description are the transport equations for the Wigner function and the associated variance. The correlation functions of extensive variables (e.g. carrier number and energy) and the respective currents correspond to moments of the Wigner correlation function and the Fourier transform of the current correlation functions yield the dynamical Kelvin-Onsager coefficients.