Random walks on finite lattice tubes

B. I. Henry; M. T. Batchelor

Random walks on finite lattice tubes

B. I. Henry^*, M. T. Batchelor

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Article number	016112
Pages (from-to)	161121-161128
Number of pages	8
Journal	Physical Review E
Volume	68
Issue number	1 2
Publication status	Published - Jul 2003

Cite this

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abstract = "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.",

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AB - 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.

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Random walks on finite lattice tubes

Abstract

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