Exact-enumeration approach to random walks on percolation clusters in two dimensions

摘要: We present a useful method for the study of random walks on disordered systems, and apply it to problem diffusion percolation clusters at criticality. The is based exact enumeration all possible certain size given cluster. In particular, we calculate meansquare end-to-end distance, probability return origin, chemical exponent ${d}_{w}^{l}$ (that describes distance traveled by walker) as functions number steps. Also first time data showing clearly difference between myopic blind ants, find much more rapid convergence ant.