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.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics