Monomer Adsorption on Terraces and Nanotubes.
We construct a nonsparse transfer matrix (T-matrix) for a lattice gas model of monomers adsorbed on planar and nanotube surfaces of arbitrary geometry. The model can accommodate any number of higher-order pairwise adsorbateadsorbate interactions. The technique is sufficiently general for application...
| Main Authors: | , , |
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| Format: | |
| Language: | English |
| Published: |
2007
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| Online Access: | http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:179442 |
| Summary: | We construct a nonsparse transfer matrix (T-matrix) for a lattice gas model of monomers adsorbed on planar and
nanotube surfaces of arbitrary geometry. The model can accommodate any number of higher-order pairwise adsorbateadsorbate
interactions. The technique is sufficiently general for application to nonequivalent adsorption sites and
coadsorption of two or more monomer species. The T-matrices for monomer adsorption on a finite width terrace and
for monomer adsorption on a nanotube, both of the same lattice geometry, share a basic G-matrix. First, the G-matrix
is diagrammatically and recursively constructed. Then, its elements are modified to provide the T-matrix elements
for either the terrace or the nanotube. The T-matrices for several particular lattice geometries previously studied as
special cases are easily recovered with the generalized technique presented here. This generalization also provides
a vectorized algorithm for efficient use on multi-parallel processors and supercomputers. |
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