Flory approximants and self-avoiding walks on critical percolation clusters.

Abstract

Using the results of a recent Monte Carlo simulation and analytical studies on self-avoiding walks (SAW's) on critical percolation clusters (CPC's), the various Flory-type formulas for SAW's on fractals and disordered media are examined. The probability density formulas for a random walker on the fractals that are needed to derive the various Flory approximants are also discussed. We also try to resolve some controversial problems in the recent studies on SAW's on CPC's from a most plausible Flory approximant.