Biased diffusion: Trap analysis in two dimensions
A method for analyzing clusters which block the random walk of particles in two-dimensional biased diffusion on percolation lattices above the percolation threshold pc is presented, focusing on the arising problems and explaining the phase transition. The difficulties in a precise trap definition are illustrated. Different trap definitions result in different trap statistics, more or less capable of capturing the trend of the phase diagram.
biased diffusion random walks percolation phase transition monte carlo