Use of combinatorial algebra for diffusion on fractals

Akhlesh Lakhtakia, Russell Messier, Vijay K. Varadan, Vasundara V. Varadan

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Abstract

The use of combinatorial algebra for understanding diffusive motion on a geometrically ordered fractal lattice is demonstrated. The specific example of the fractal lattices used are the Pascal-Sierpiński gaskets of prime orders of which the well-known Sierpiński gasket is a special case. It is shown that the conclusions obtained from such an analysis can be meaningfully interpreted in physical terms.

Original languageEnglish (US)
Pages (from-to)2501-2504
Number of pages4
JournalPhysical Review A
Volume34
Issue number3
DOIs
StatePublished - Jan 1 1986

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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