(1) Saha Institute of Nuclear Physics, 700 009 Calcutta, India;(2) Institute of Physics, 751 005 Bhubaneswar, India
Abstract:
Using field-theoretic arguments for self-avoiding walks on dilute lattices with site occupation concentrationp, we show that the-point size exponentp0
of polymer chains remains unchanged for small disorder concentration (p>pc). At the percolation thresholdp=pc, using a Flory-type approximation, we conjecture thatpc0
=5/(dB+7), wheredB is the percolation backbone dimension. It shows that the upper critical dimensionality for the-point transition atp=pc shifts to a dimensiondc>3. We also propose that the-point varies practically linearly withp for 1>ppc.