Random walk simulations based on a molecular trajectory algorithm are performed on critical percolation clusters. The … incipient infinite cluster is dw=2.873±0.008 in two dimensions and 3.78 ± 0.02 in three dimensions. If instead the diffusion is …

on percolation dynamics. The model combines the concept of increasing returns to adoption with information diffusion … product lifecycle as an outcome of a single elementary process. The model also replicates the S-shaped diffusion curve and the …

-conducting bonds and the concentration p of good-conducting bonds is close to the two-dimensional percolation threshold pc. The … diffusion coefficient D(τ) which describes the random walking in directions along the planes is calculated as a function of …

weakly conducting discs in a conducting medium. The conductivity is evaluated using the “blind ant” diffusion algorithm. We …

results are related to dynamical and static properties of gradient percolation. Firstly, it is shown that the transient … regimes which lead to self-organized gradient percolation due to corrosion do not scale like gradient percolation itself …. Secondly, it is shown that there is no diffusion front in 1-D but there exists a zone of fluctuations with a size of the order …

on repeated averaging of neighbors' information and Markovian diffusion processes such as the Google random surfer model …