Driven flow with exclusion and transport in graphene-like structures

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 na...

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Bibliographic Details
Published in:arXiv.org 2013-10
Main Authors: Stinchcombe, R B, S L A de Queiroz, Cunha, M A G, Koiller, Belita
Format: Article
Language:English
Subjects:
Adequacy
Boundary conditions
Carbon nanotubes
Chains
Computer simulation
Cylinders
Electron transport
Graphene
Mathematical models
Nanotubes
Quantum dots
Steady state
Transmissivity
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1306.6551