Mean first-passage time for diffusion on fractal lattices with imposed boundary conditions

Relation between the mean first-passage time and the chemical distance for diffusion on fractal lattices with imposed periodic boundary conditions is analysed. Heuristically, it is argued that this relation is completely controlled by the chemical and the fractal dimensions, and two parameters depending on the number of lattice sites, according to the power-law equations. Extensive computer simulations have been performed in order to confirm the analytical formulae.