KINETIC SELF-AVOIDING WALKS ON RANDOMLY DILUTED LATTICES AT THE PERCOLATION-THRESHOLD

Survival probability arguments have been developed for obtaining gener alized formulas for the end-to-end distance exponents of the self-avoi ding walk, the kinetic growth walk (KGW), and the true self-avoiding w alk on a percolating cluster. A crossover in the asymptotic behavior o f KGW on a two dimensional percolating cluster has been observed at a walk length approximate to 60. This is presented as numerical evidence of the fact that the KGW latches onto a backbone as it grows longer.