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Synthesis of Graphene Nanofluids with Controllable Flake Size Distributions
Published on: July 17, 2019
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Dynamics of driven flow with exclusion in graphenelike structures
R B Stinchcombe1, S L A de Queiroz2
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Summary
We developed a mean-field theory for driven flow with exclusion in graphene-like structures. Our theory simplifies to 1D systems in some cases, but shows discrepancies at critical points, especially for large systems.
Area of Science:
- Physics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Driven flow with exclusion is crucial in various physical systems.
- Graphene and related structures exhibit unique electronic and transport properties.
- Understanding dynamics in complex networks requires robust theoretical models.
Purpose of the Study:
- To develop and validate a mean-field theory for driven flow with exclusion in graphenelike structures.
- To investigate the role of sublattice structure in these dynamics.
- To compare theoretical predictions with numerical simulations.
Main Methods:
- Development of a mean-field theory for driven lattice gases.
- Numerical simulations of flow dynamics on graphenelike lattices.
- Analysis of phase diagrams and critical exponents.
Main Results:
- The sublattice structure becomes irrelevant for certain bond transmissivity rates, simplifying dynamics to 1D-like behavior.
- Discrepancies between mean-field theory and simulations exist, particularly at critical points.
- A second rate combination shows persistent sublattice effects, with theory offering qualitative agreement.
Conclusions:
- Mean-field theory provides a valuable framework for understanding driven flow with exclusion in graphenelike systems.
- The theory captures essential dynamics, though quantitative accuracy varies with parameters.
- Sublattice effects can be tuned by bond and boundary rates.
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