Driven flow with exclusion and transport in graphene-like structures
Abstract
The totally asymmetric simple exclusion process (TASEP), a well-known model in its strictly one-dimensional (chain) version, is generalized to cylinder (nanotube) and ribbon (nanoribbon) geometries. A mean-field theoretical description is given for very narrow ribbons ("necklaces"), and nanotubes. For specific configurations of bond transmissivity rates, and for a variety of boundary conditions, theory predicts equivalent steady state behavior between (sublattices on) these structures and chains. This is verified by numerical simulations, to excellent accuracy, by evaluating steady-state currents. We also numerically treat ribbons of general width. We examine the adequacy of this model to the description of electronic transport in carbon nanotubes and nanoribbons, or specifically-designed quantum dot arrays.
Keywords
Cite
@article{arxiv.1306.6551,
title = {Driven flow with exclusion and transport in graphene-like structures},
author = {R. B. Stinchcombe and S. L. A. de Queiroz and M. A. G. Cunha and Belita Koiller},
journal= {arXiv preprint arXiv:1306.6551},
year = {2013}
}
Comments
RevTeX, 13 pages, 9 figures (published version)