We analyse a picture of transport in which two large but finite charged electrodes discharge across a nanoscale junction. We identify a functional whose minimization, within the space of all bound many-body wavefunctions, defines an instantaneous steady state. We also discuss factors that favour the onset of steady-state conduction in such systems, make a connection with the notion of entropy, and suggest a novel source of steady-state noise. Finally, we prove that the true many-body total current in this closed system is given exactly by the one-electron total current, obtained from time-dependent density-functional theory.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Di Ventra, M., & Todorov, T. (2004). Transport in nanoscale systems: the microcanonical versus grand-canonical picture. Journal of Physics: Condensed Matter, 16(45), 8025-8034. https://doi.org/10.1088/0953-8984/16/45/024