Abstract
A computer simulation study of the statistics of linear polymers in a random medium, described by self-avoiding-walks (SAW) on a randomly (bond) dilute square lattice has been made. The “phase diagram”, giving the critical value of the average connective constant (average inverse fugacity associated with a monomer in an infinite polymer) as a function of the bond concentration, has been obtained enumerating exactly (and extrapolating) the number of (finite step) SAWs on randomly dilute (Monte Carlo sample) lattices. The “phase diagram”, so obtained, has been compared with those obtained using the Cayley tree approximation and the real space renormalization group technique.
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