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Random Walks on Finite Lattice Tubes

Henry, B I; Batchelor, Murray

Description

Random walks from a single source on a finite element lattice were considered. Explicit formulas were derived for the absorption probabilities at the ends and for the expectations that a random walk will visit a particular lattice site before being absorbed. Results were presented for the triangular lattice tubes and the honeycomb lattice tubes model diffusion of adatoms on single walled zig-zag carbon nanotubes with open ends.

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/87900
Source: Physical Review E

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