Abstract

A real space renormalisation group study of linear polymers in a random medium, described by self-avoiding walks (SAW) on a randomly (bond) dilute square lattice has been made. The method does not give any change, due to lattice dilution, in the critical behaviour of the SAW statistics. The phase diagram giving the critical fugacity as a function of bond concentration is obtained. SAWs on a dilute Cayley tree has also been discussed and compared.

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