Ideal chain on a two-dimensional critical percolation cluster

The authors study the statistics of the ideal chain (or equally weighted trajectories) for the first time on a two-dimensional critical percolation cluster. They discuss the asymptotic behaviour of the mean end-to-end distance and the number of chains for the long chain limit by exact enumeration. The results strongly suggest that this problem does not belong to the same universality class as the random walk (or kinetically weighted trajectories) on the same fractal cluster.