Charge and currents distribution in graphs
Mesoscale and Nanoscale Physics
2009-11-10 v2
Abstract
We consider graphs made of one-dimensional wires connected at vertices, and on which may live a scalar potential. We are interested in a scattering situation where such a network is connected to infinite leads. We study the correlations of the charge in such graphs out of equilibrium, as well as the distribution of the currents in the wires, inside the graph. These quantities are related to the scattering matrix of the graph. We discuss the case where the graph is weakly connected to the wires.
Cite
@article{arxiv.cond-mat/0304182,
title = {Charge and currents distribution in graphs},
author = {Christophe Texier and Pascal Degiovanni},
journal= {arXiv preprint arXiv:cond-mat/0304182},
year = {2009}
}
Comments
30 pages, 8 figures, LaTeX; added references