Abstract
The global first passage time density of a network is the probability that a random walker released at a random site arrives at an absorbing trap at time . We find simple expressions for the mean global first passage time for five fractals: the -dimensional Sierpinski gasket, fractal, hierarchical percolation model, Mandelbrot-Given curve, and a deterministic tree. We also find an exact expression for the second moment and show that the variance of the first passage time, , scales with the number of nodes within the fractal such that , where is the spectral dimension.
- Received 4 June 2008
DOI:https://doi.org/10.1103/PhysRevE.78.041111
©2008 American Physical Society